Vertex algebra of extended operators in 4d N=2 superconformal field theories. Part I
Abstract We construct a class of extended operators in the cohomology of a pair of twisted Schur supercharges of 4d %$ \mathcal{N} %$=2 SCFTs. The extended operators are constructed from the local operators in this cohomology — the Schur operators — by a version of topological descent. They are line...
Ausführliche Beschreibung
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| Autor*in: |
Argyres, Philip C. [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2023 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s) 2023 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of high energy physics - Berlin : Springer, 1997, 2023(2023), 10 vom: 27. Okt. |
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| Übergeordnetes Werk: |
volume:2023 ; year:2023 ; number:10 ; day:27 ; month:10 |
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| DOI / URN: |
10.1007/JHEP10(2023)175 |
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| 245 | 1 | 0 | |a Vertex algebra of extended operators in 4d N=2 superconformal field theories. Part I |
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| 520 | |a Abstract We construct a class of extended operators in the cohomology of a pair of twisted Schur supercharges of 4d %$ \mathcal{N} %$=2 SCFTs. The extended operators are constructed from the local operators in this cohomology — the Schur operators — by a version of topological descent. They are line, surface, and domain wall world volume integrals of certain super descendants of Schur operators. Their world volumes extend in directions transverse to a spatial plane in Minkowski space-time. As operators in the cohomology of these twisted Schur supercharges, their correlators are (locally) meromorphic functions only of the positions where they intersect this plane. This implies the extended operators enlarge the vertex operator algebra of the Schur operators. We illustrate this enlarged vertex algebra by computing some extended-operator product expansions within a subalgebra of it for the free hypermultiplet SCFT. | ||
| 650 | 4 | |a Conformal and W Symmetry |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Extended Supersymmetry |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Scale and Conformal Symmetries |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Supersymmetric Gauge Theory |7 (dpeaa)DE-He213 | |
| 700 | 1 | |a Lotito, Matteo |0 (orcid)0000-0003-3052-203X |4 aut | |
| 700 | 1 | |a Weaver, Mitch |0 (orcid)0000-0002-0702-0026 |4 aut | |
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10.1007/JHEP10(2023)175 doi (DE-627)SPR05356670X (SPR)JHEP10(2023)175-e DE-627 ger DE-627 rakwb eng Argyres, Philip C. verfasserin aut Vertex algebra of extended operators in 4d N=2 superconformal field theories. Part I 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract We construct a class of extended operators in the cohomology of a pair of twisted Schur supercharges of 4d %$ \mathcal{N} %$=2 SCFTs. The extended operators are constructed from the local operators in this cohomology — the Schur operators — by a version of topological descent. They are line, surface, and domain wall world volume integrals of certain super descendants of Schur operators. Their world volumes extend in directions transverse to a spatial plane in Minkowski space-time. As operators in the cohomology of these twisted Schur supercharges, their correlators are (locally) meromorphic functions only of the positions where they intersect this plane. This implies the extended operators enlarge the vertex operator algebra of the Schur operators. We illustrate this enlarged vertex algebra by computing some extended-operator product expansions within a subalgebra of it for the free hypermultiplet SCFT. Conformal and W Symmetry (dpeaa)DE-He213 Extended Supersymmetry (dpeaa)DE-He213 Scale and Conformal Symmetries (dpeaa)DE-He213 Supersymmetric Gauge Theory (dpeaa)DE-He213 Lotito, Matteo (orcid)0000-0003-3052-203X aut Weaver, Mitch (orcid)0000-0002-0702-0026 aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 10 vom: 27. Okt. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:10 day:27 month:10 https://dx.doi.org/10.1007/JHEP10(2023)175 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 10 27 10 |
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10.1007/JHEP10(2023)175 doi (DE-627)SPR05356670X (SPR)JHEP10(2023)175-e DE-627 ger DE-627 rakwb eng Argyres, Philip C. verfasserin aut Vertex algebra of extended operators in 4d N=2 superconformal field theories. Part I 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract We construct a class of extended operators in the cohomology of a pair of twisted Schur supercharges of 4d %$ \mathcal{N} %$=2 SCFTs. The extended operators are constructed from the local operators in this cohomology — the Schur operators — by a version of topological descent. They are line, surface, and domain wall world volume integrals of certain super descendants of Schur operators. Their world volumes extend in directions transverse to a spatial plane in Minkowski space-time. As operators in the cohomology of these twisted Schur supercharges, their correlators are (locally) meromorphic functions only of the positions where they intersect this plane. This implies the extended operators enlarge the vertex operator algebra of the Schur operators. We illustrate this enlarged vertex algebra by computing some extended-operator product expansions within a subalgebra of it for the free hypermultiplet SCFT. Conformal and W Symmetry (dpeaa)DE-He213 Extended Supersymmetry (dpeaa)DE-He213 Scale and Conformal Symmetries (dpeaa)DE-He213 Supersymmetric Gauge Theory (dpeaa)DE-He213 Lotito, Matteo (orcid)0000-0003-3052-203X aut Weaver, Mitch (orcid)0000-0002-0702-0026 aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 10 vom: 27. Okt. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:10 day:27 month:10 https://dx.doi.org/10.1007/JHEP10(2023)175 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 10 27 10 |
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10.1007/JHEP10(2023)175 doi (DE-627)SPR05356670X (SPR)JHEP10(2023)175-e DE-627 ger DE-627 rakwb eng Argyres, Philip C. verfasserin aut Vertex algebra of extended operators in 4d N=2 superconformal field theories. Part I 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract We construct a class of extended operators in the cohomology of a pair of twisted Schur supercharges of 4d %$ \mathcal{N} %$=2 SCFTs. The extended operators are constructed from the local operators in this cohomology — the Schur operators — by a version of topological descent. They are line, surface, and domain wall world volume integrals of certain super descendants of Schur operators. Their world volumes extend in directions transverse to a spatial plane in Minkowski space-time. As operators in the cohomology of these twisted Schur supercharges, their correlators are (locally) meromorphic functions only of the positions where they intersect this plane. This implies the extended operators enlarge the vertex operator algebra of the Schur operators. We illustrate this enlarged vertex algebra by computing some extended-operator product expansions within a subalgebra of it for the free hypermultiplet SCFT. Conformal and W Symmetry (dpeaa)DE-He213 Extended Supersymmetry (dpeaa)DE-He213 Scale and Conformal Symmetries (dpeaa)DE-He213 Supersymmetric Gauge Theory (dpeaa)DE-He213 Lotito, Matteo (orcid)0000-0003-3052-203X aut Weaver, Mitch (orcid)0000-0002-0702-0026 aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 10 vom: 27. Okt. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:10 day:27 month:10 https://dx.doi.org/10.1007/JHEP10(2023)175 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 10 27 10 |
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10.1007/JHEP10(2023)175 doi (DE-627)SPR05356670X (SPR)JHEP10(2023)175-e DE-627 ger DE-627 rakwb eng Argyres, Philip C. verfasserin aut Vertex algebra of extended operators in 4d N=2 superconformal field theories. Part I 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract We construct a class of extended operators in the cohomology of a pair of twisted Schur supercharges of 4d %$ \mathcal{N} %$=2 SCFTs. The extended operators are constructed from the local operators in this cohomology — the Schur operators — by a version of topological descent. They are line, surface, and domain wall world volume integrals of certain super descendants of Schur operators. Their world volumes extend in directions transverse to a spatial plane in Minkowski space-time. As operators in the cohomology of these twisted Schur supercharges, their correlators are (locally) meromorphic functions only of the positions where they intersect this plane. This implies the extended operators enlarge the vertex operator algebra of the Schur operators. We illustrate this enlarged vertex algebra by computing some extended-operator product expansions within a subalgebra of it for the free hypermultiplet SCFT. Conformal and W Symmetry (dpeaa)DE-He213 Extended Supersymmetry (dpeaa)DE-He213 Scale and Conformal Symmetries (dpeaa)DE-He213 Supersymmetric Gauge Theory (dpeaa)DE-He213 Lotito, Matteo (orcid)0000-0003-3052-203X aut Weaver, Mitch (orcid)0000-0002-0702-0026 aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 10 vom: 27. Okt. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:10 day:27 month:10 https://dx.doi.org/10.1007/JHEP10(2023)175 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 10 27 10 |
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10.1007/JHEP10(2023)175 doi (DE-627)SPR05356670X (SPR)JHEP10(2023)175-e DE-627 ger DE-627 rakwb eng Argyres, Philip C. verfasserin aut Vertex algebra of extended operators in 4d N=2 superconformal field theories. Part I 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2023 Abstract We construct a class of extended operators in the cohomology of a pair of twisted Schur supercharges of 4d %$ \mathcal{N} %$=2 SCFTs. The extended operators are constructed from the local operators in this cohomology — the Schur operators — by a version of topological descent. They are line, surface, and domain wall world volume integrals of certain super descendants of Schur operators. Their world volumes extend in directions transverse to a spatial plane in Minkowski space-time. As operators in the cohomology of these twisted Schur supercharges, their correlators are (locally) meromorphic functions only of the positions where they intersect this plane. This implies the extended operators enlarge the vertex operator algebra of the Schur operators. We illustrate this enlarged vertex algebra by computing some extended-operator product expansions within a subalgebra of it for the free hypermultiplet SCFT. Conformal and W Symmetry (dpeaa)DE-He213 Extended Supersymmetry (dpeaa)DE-He213 Scale and Conformal Symmetries (dpeaa)DE-He213 Supersymmetric Gauge Theory (dpeaa)DE-He213 Lotito, Matteo (orcid)0000-0003-3052-203X aut Weaver, Mitch (orcid)0000-0002-0702-0026 aut Enthalten in Journal of high energy physics Berlin : Springer, 1997 2023(2023), 10 vom: 27. Okt. (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2023 year:2023 number:10 day:27 month:10 https://dx.doi.org/10.1007/JHEP10(2023)175 kostenfrei Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2023 2023 10 27 10 |
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Argyres, Philip C. misc Conformal and W Symmetry misc Extended Supersymmetry misc Scale and Conformal Symmetries misc Supersymmetric Gauge Theory Vertex algebra of extended operators in 4d N=2 superconformal field theories. Part I |
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Vertex algebra of extended operators in 4d N=2 superconformal field theories. Part I Conformal and W Symmetry (dpeaa)DE-He213 Extended Supersymmetry (dpeaa)DE-He213 Scale and Conformal Symmetries (dpeaa)DE-He213 Supersymmetric Gauge Theory (dpeaa)DE-He213 |
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vertex algebra of extended operators in 4d n=2 superconformal field theories. part i |
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Vertex algebra of extended operators in 4d N=2 superconformal field theories. Part I |
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Abstract We construct a class of extended operators in the cohomology of a pair of twisted Schur supercharges of 4d %$ \mathcal{N} %$=2 SCFTs. The extended operators are constructed from the local operators in this cohomology — the Schur operators — by a version of topological descent. They are line, surface, and domain wall world volume integrals of certain super descendants of Schur operators. Their world volumes extend in directions transverse to a spatial plane in Minkowski space-time. As operators in the cohomology of these twisted Schur supercharges, their correlators are (locally) meromorphic functions only of the positions where they intersect this plane. This implies the extended operators enlarge the vertex operator algebra of the Schur operators. We illustrate this enlarged vertex algebra by computing some extended-operator product expansions within a subalgebra of it for the free hypermultiplet SCFT. © The Author(s) 2023 |
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Abstract We construct a class of extended operators in the cohomology of a pair of twisted Schur supercharges of 4d %$ \mathcal{N} %$=2 SCFTs. The extended operators are constructed from the local operators in this cohomology — the Schur operators — by a version of topological descent. They are line, surface, and domain wall world volume integrals of certain super descendants of Schur operators. Their world volumes extend in directions transverse to a spatial plane in Minkowski space-time. As operators in the cohomology of these twisted Schur supercharges, their correlators are (locally) meromorphic functions only of the positions where they intersect this plane. This implies the extended operators enlarge the vertex operator algebra of the Schur operators. We illustrate this enlarged vertex algebra by computing some extended-operator product expansions within a subalgebra of it for the free hypermultiplet SCFT. © The Author(s) 2023 |
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Abstract We construct a class of extended operators in the cohomology of a pair of twisted Schur supercharges of 4d %$ \mathcal{N} %$=2 SCFTs. The extended operators are constructed from the local operators in this cohomology — the Schur operators — by a version of topological descent. They are line, surface, and domain wall world volume integrals of certain super descendants of Schur operators. Their world volumes extend in directions transverse to a spatial plane in Minkowski space-time. As operators in the cohomology of these twisted Schur supercharges, their correlators are (locally) meromorphic functions only of the positions where they intersect this plane. This implies the extended operators enlarge the vertex operator algebra of the Schur operators. We illustrate this enlarged vertex algebra by computing some extended-operator product expansions within a subalgebra of it for the free hypermultiplet SCFT. © The Author(s) 2023 |
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| score |
7.4014044 |