Integrable lambda models and Chern-Simons theories
Abstract In this note we reveal a connection between the phase space of lambda models on %$ {S}^1\times \mathbb{R} %$ and the phase space of double Chern-Simons theories on %$ D\times \mathbb{R} %$ and explain in the process the origin of the non-ultralocality of the Maillet bracket, which emerges a...
Ausführliche Beschreibung
Autor*in: |
Schmidtt, David M. [verfasserIn] |
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E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2017 |
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Anmerkung: |
© The Author(s) 2017 |
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Übergeordnetes Werk: |
Enthalten in: Journal of high energy physics - Berlin : Springer, 1997, 2017(2017), 5 vom: 03. Mai |
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Übergeordnetes Werk: |
volume:2017 ; year:2017 ; number:5 ; day:03 ; month:05 |
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DOI / URN: |
10.1007/JHEP05(2017)012 |
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Katalog-ID: |
SPR030534593 |
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10.1007/JHEP05(2017)012 doi (DE-627)SPR030534593 (SPR)JHEP05(2017)012-e DE-627 ger DE-627 rakwb eng Schmidtt, David M. verfasserin aut Integrable lambda models and Chern-Simons theories 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2017 Abstract In this note we reveal a connection between the phase space of lambda models on %$ {S}^1\times \mathbb{R} %$ and the phase space of double Chern-Simons theories on %$ D\times \mathbb{R} %$ and explain in the process the origin of the non-ultralocality of the Maillet bracket, which emerges as a boundary algebra. In particular, this means that the (classical) AdS5 × S5 lambda model can be understood as a double Chern-Simons theory defined on the Lie superalgebra %$ \mathfrak{p}\mathfrak{s}\mathfrak{u}\left(2,2\Big|4\right) %$ after a proper dependence of the spectral parameter is introduced. This offers a possibility for avoiding the use of the problematic non-ultralocal Poisson algebras that preclude the introduction of lattice regularizations and the application of the QISM to string sigma models. The utility of the equivalence at the quantum level is, however, still to be explored. Chern-Simons Theories (dpeaa)DE-He213 Integrable Field Theories (dpeaa)DE-He213 Sigma Models (dpeaa)DE-He213 Integrable Hierarchies (dpeaa)DE-He213 Enthalten in Journal of high energy physics Berlin : Springer, 1997 2017(2017), 5 vom: 03. Mai (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2017 year:2017 number:5 day:03 month:05 https://dx.doi.org/10.1007/JHEP05(2017)012 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 2017 2017 5 03 05 |
spelling |
10.1007/JHEP05(2017)012 doi (DE-627)SPR030534593 (SPR)JHEP05(2017)012-e DE-627 ger DE-627 rakwb eng Schmidtt, David M. verfasserin aut Integrable lambda models and Chern-Simons theories 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2017 Abstract In this note we reveal a connection between the phase space of lambda models on %$ {S}^1\times \mathbb{R} %$ and the phase space of double Chern-Simons theories on %$ D\times \mathbb{R} %$ and explain in the process the origin of the non-ultralocality of the Maillet bracket, which emerges as a boundary algebra. In particular, this means that the (classical) AdS5 × S5 lambda model can be understood as a double Chern-Simons theory defined on the Lie superalgebra %$ \mathfrak{p}\mathfrak{s}\mathfrak{u}\left(2,2\Big|4\right) %$ after a proper dependence of the spectral parameter is introduced. This offers a possibility for avoiding the use of the problematic non-ultralocal Poisson algebras that preclude the introduction of lattice regularizations and the application of the QISM to string sigma models. The utility of the equivalence at the quantum level is, however, still to be explored. Chern-Simons Theories (dpeaa)DE-He213 Integrable Field Theories (dpeaa)DE-He213 Sigma Models (dpeaa)DE-He213 Integrable Hierarchies (dpeaa)DE-He213 Enthalten in Journal of high energy physics Berlin : Springer, 1997 2017(2017), 5 vom: 03. Mai (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2017 year:2017 number:5 day:03 month:05 https://dx.doi.org/10.1007/JHEP05(2017)012 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 2017 2017 5 03 05 |
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10.1007/JHEP05(2017)012 doi (DE-627)SPR030534593 (SPR)JHEP05(2017)012-e DE-627 ger DE-627 rakwb eng Schmidtt, David M. verfasserin aut Integrable lambda models and Chern-Simons theories 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2017 Abstract In this note we reveal a connection between the phase space of lambda models on %$ {S}^1\times \mathbb{R} %$ and the phase space of double Chern-Simons theories on %$ D\times \mathbb{R} %$ and explain in the process the origin of the non-ultralocality of the Maillet bracket, which emerges as a boundary algebra. In particular, this means that the (classical) AdS5 × S5 lambda model can be understood as a double Chern-Simons theory defined on the Lie superalgebra %$ \mathfrak{p}\mathfrak{s}\mathfrak{u}\left(2,2\Big|4\right) %$ after a proper dependence of the spectral parameter is introduced. This offers a possibility for avoiding the use of the problematic non-ultralocal Poisson algebras that preclude the introduction of lattice regularizations and the application of the QISM to string sigma models. The utility of the equivalence at the quantum level is, however, still to be explored. Chern-Simons Theories (dpeaa)DE-He213 Integrable Field Theories (dpeaa)DE-He213 Sigma Models (dpeaa)DE-He213 Integrable Hierarchies (dpeaa)DE-He213 Enthalten in Journal of high energy physics Berlin : Springer, 1997 2017(2017), 5 vom: 03. Mai (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2017 year:2017 number:5 day:03 month:05 https://dx.doi.org/10.1007/JHEP05(2017)012 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 2017 2017 5 03 05 |
allfieldsGer |
10.1007/JHEP05(2017)012 doi (DE-627)SPR030534593 (SPR)JHEP05(2017)012-e DE-627 ger DE-627 rakwb eng Schmidtt, David M. verfasserin aut Integrable lambda models and Chern-Simons theories 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2017 Abstract In this note we reveal a connection between the phase space of lambda models on %$ {S}^1\times \mathbb{R} %$ and the phase space of double Chern-Simons theories on %$ D\times \mathbb{R} %$ and explain in the process the origin of the non-ultralocality of the Maillet bracket, which emerges as a boundary algebra. In particular, this means that the (classical) AdS5 × S5 lambda model can be understood as a double Chern-Simons theory defined on the Lie superalgebra %$ \mathfrak{p}\mathfrak{s}\mathfrak{u}\left(2,2\Big|4\right) %$ after a proper dependence of the spectral parameter is introduced. This offers a possibility for avoiding the use of the problematic non-ultralocal Poisson algebras that preclude the introduction of lattice regularizations and the application of the QISM to string sigma models. The utility of the equivalence at the quantum level is, however, still to be explored. Chern-Simons Theories (dpeaa)DE-He213 Integrable Field Theories (dpeaa)DE-He213 Sigma Models (dpeaa)DE-He213 Integrable Hierarchies (dpeaa)DE-He213 Enthalten in Journal of high energy physics Berlin : Springer, 1997 2017(2017), 5 vom: 03. Mai (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2017 year:2017 number:5 day:03 month:05 https://dx.doi.org/10.1007/JHEP05(2017)012 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 2017 2017 5 03 05 |
allfieldsSound |
10.1007/JHEP05(2017)012 doi (DE-627)SPR030534593 (SPR)JHEP05(2017)012-e DE-627 ger DE-627 rakwb eng Schmidtt, David M. verfasserin aut Integrable lambda models and Chern-Simons theories 2017 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s) 2017 Abstract In this note we reveal a connection between the phase space of lambda models on %$ {S}^1\times \mathbb{R} %$ and the phase space of double Chern-Simons theories on %$ D\times \mathbb{R} %$ and explain in the process the origin of the non-ultralocality of the Maillet bracket, which emerges as a boundary algebra. In particular, this means that the (classical) AdS5 × S5 lambda model can be understood as a double Chern-Simons theory defined on the Lie superalgebra %$ \mathfrak{p}\mathfrak{s}\mathfrak{u}\left(2,2\Big|4\right) %$ after a proper dependence of the spectral parameter is introduced. This offers a possibility for avoiding the use of the problematic non-ultralocal Poisson algebras that preclude the introduction of lattice regularizations and the application of the QISM to string sigma models. The utility of the equivalence at the quantum level is, however, still to be explored. Chern-Simons Theories (dpeaa)DE-He213 Integrable Field Theories (dpeaa)DE-He213 Sigma Models (dpeaa)DE-He213 Integrable Hierarchies (dpeaa)DE-He213 Enthalten in Journal of high energy physics Berlin : Springer, 1997 2017(2017), 5 vom: 03. Mai (DE-627)320910571 (DE-600)2027350-2 1029-8479 nnns volume:2017 year:2017 number:5 day:03 month:05 https://dx.doi.org/10.1007/JHEP05(2017)012 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 2017 2017 5 03 05 |
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Abstract In this note we reveal a connection between the phase space of lambda models on %$ {S}^1\times \mathbb{R} %$ and the phase space of double Chern-Simons theories on %$ D\times \mathbb{R} %$ and explain in the process the origin of the non-ultralocality of the Maillet bracket, which emerges as a boundary algebra. In particular, this means that the (classical) AdS5 × S5 lambda model can be understood as a double Chern-Simons theory defined on the Lie superalgebra %$ \mathfrak{p}\mathfrak{s}\mathfrak{u}\left(2,2\Big|4\right) %$ after a proper dependence of the spectral parameter is introduced. This offers a possibility for avoiding the use of the problematic non-ultralocal Poisson algebras that preclude the introduction of lattice regularizations and the application of the QISM to string sigma models. The utility of the equivalence at the quantum level is, however, still to be explored. © The Author(s) 2017 |
abstractGer |
Abstract In this note we reveal a connection between the phase space of lambda models on %$ {S}^1\times \mathbb{R} %$ and the phase space of double Chern-Simons theories on %$ D\times \mathbb{R} %$ and explain in the process the origin of the non-ultralocality of the Maillet bracket, which emerges as a boundary algebra. In particular, this means that the (classical) AdS5 × S5 lambda model can be understood as a double Chern-Simons theory defined on the Lie superalgebra %$ \mathfrak{p}\mathfrak{s}\mathfrak{u}\left(2,2\Big|4\right) %$ after a proper dependence of the spectral parameter is introduced. This offers a possibility for avoiding the use of the problematic non-ultralocal Poisson algebras that preclude the introduction of lattice regularizations and the application of the QISM to string sigma models. The utility of the equivalence at the quantum level is, however, still to be explored. © The Author(s) 2017 |
abstract_unstemmed |
Abstract In this note we reveal a connection between the phase space of lambda models on %$ {S}^1\times \mathbb{R} %$ and the phase space of double Chern-Simons theories on %$ D\times \mathbb{R} %$ and explain in the process the origin of the non-ultralocality of the Maillet bracket, which emerges as a boundary algebra. In particular, this means that the (classical) AdS5 × S5 lambda model can be understood as a double Chern-Simons theory defined on the Lie superalgebra %$ \mathfrak{p}\mathfrak{s}\mathfrak{u}\left(2,2\Big|4\right) %$ after a proper dependence of the spectral parameter is introduced. This offers a possibility for avoiding the use of the problematic non-ultralocal Poisson algebras that preclude the introduction of lattice regularizations and the application of the QISM to string sigma models. The utility of the equivalence at the quantum level is, however, still to be explored. © The Author(s) 2017 |
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