SO(N) restricted Schur polynomials
We focus on the 1/4-BPS sector of free super Yang-Mills theory with an SO(N) gauge group. This theory has an AdS/CFT (an equivalence between a conformal field theory in d-1 dimensions and type II string theory defined on an AdS space in d-dimensions) dual in the form of type IIB string theory with g...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Garreth Kemp [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2015 |
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| Schlagwörter: |
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| Systematik: |
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| Übergeordnetes Werk: |
Enthalten in: Journal of mathematical physics - Melville, NY : American Institute of Physics, 1960, 56(2015), 2, Seite 1 |
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| Übergeordnetes Werk: |
volume:56 ; year:2015 ; number:2 ; pages:1 |
| Links: |
|---|
| DOI / URN: |
10.1063/1.4906904 |
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| 520 | |a We focus on the 1/4-BPS sector of free super Yang-Mills theory with an SO(N) gauge group. This theory has an AdS/CFT (an equivalence between a conformal field theory in d-1 dimensions and type II string theory defined on an AdS space in d-dimensions) dual in the form of type IIB string theory with geometry. With the aim of studying excited giant graviton dynamics, we construct an orthogonal basis for this sector of the gauge theory in this work. First, we demonstrate that the counting of states, as given by the partition function, and the counting of restricted Schur polynomials match by restricting to a particular class of Young diagram labels. We then give an explicit construction of these gauge invariant operators and evaluate their two-point function exactly. This paves the way to studying the spectral problem of these operators and their D-brane duals. | ||
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| 650 | 4 | |a Geometry | |
| 650 | 4 | |a String theory | |
| 650 | 4 | |a Polynomials | |
| 650 | 4 | |a High Energy Physics | |
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10.1063/1.4906904 doi PQ20160617 (DE-627)OLC1962175103 (DE-599)GBVOLC1962175103 (PRQ)a1779-ad6fc50d75df346ff34157daf6646173c0a77c35240761985b6040edfc6e6d5f0 (KEY)0000548720150000056000200001sonrestrictedschurpolynomials DE-627 ger DE-627 rakwb eng 530 510 DNB UA 4660 AVZ rvk Garreth Kemp verfasserin aut SO(N) restricted Schur polynomials 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier We focus on the 1/4-BPS sector of free super Yang-Mills theory with an SO(N) gauge group. This theory has an AdS/CFT (an equivalence between a conformal field theory in d-1 dimensions and type II string theory defined on an AdS space in d-dimensions) dual in the form of type IIB string theory with geometry. With the aim of studying excited giant graviton dynamics, we construct an orthogonal basis for this sector of the gauge theory in this work. First, we demonstrate that the counting of states, as given by the partition function, and the counting of restricted Schur polynomials match by restricting to a particular class of Young diagram labels. We then give an explicit construction of these gauge invariant operators and evaluate their two-point function exactly. This paves the way to studying the spectral problem of these operators and their D-brane duals. Physics Geometry String theory Polynomials High Energy Physics Theory Enthalten in Journal of mathematical physics Melville, NY : American Institute of Physics, 1960 56(2015), 2, Seite 1 (DE-627)129549703 (DE-600)219135-0 (DE-576)01500290X 0022-2488 nnns volume:56 year:2015 number:2 pages:1 http://dx.doi.org/10.1063/1.4906904 Volltext http://search.proquest.com/docview/1660759291 http://arxiv.org/abs/1405.7017 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 UA 4660 AR 56 2015 2 1 |
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10.1063/1.4906904 doi PQ20160617 (DE-627)OLC1962175103 (DE-599)GBVOLC1962175103 (PRQ)a1779-ad6fc50d75df346ff34157daf6646173c0a77c35240761985b6040edfc6e6d5f0 (KEY)0000548720150000056000200001sonrestrictedschurpolynomials DE-627 ger DE-627 rakwb eng 530 510 DNB UA 4660 AVZ rvk Garreth Kemp verfasserin aut SO(N) restricted Schur polynomials 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier We focus on the 1/4-BPS sector of free super Yang-Mills theory with an SO(N) gauge group. This theory has an AdS/CFT (an equivalence between a conformal field theory in d-1 dimensions and type II string theory defined on an AdS space in d-dimensions) dual in the form of type IIB string theory with geometry. With the aim of studying excited giant graviton dynamics, we construct an orthogonal basis for this sector of the gauge theory in this work. First, we demonstrate that the counting of states, as given by the partition function, and the counting of restricted Schur polynomials match by restricting to a particular class of Young diagram labels. We then give an explicit construction of these gauge invariant operators and evaluate their two-point function exactly. This paves the way to studying the spectral problem of these operators and their D-brane duals. Physics Geometry String theory Polynomials High Energy Physics Theory Enthalten in Journal of mathematical physics Melville, NY : American Institute of Physics, 1960 56(2015), 2, Seite 1 (DE-627)129549703 (DE-600)219135-0 (DE-576)01500290X 0022-2488 nnns volume:56 year:2015 number:2 pages:1 http://dx.doi.org/10.1063/1.4906904 Volltext http://search.proquest.com/docview/1660759291 http://arxiv.org/abs/1405.7017 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 UA 4660 AR 56 2015 2 1 |
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10.1063/1.4906904 doi PQ20160617 (DE-627)OLC1962175103 (DE-599)GBVOLC1962175103 (PRQ)a1779-ad6fc50d75df346ff34157daf6646173c0a77c35240761985b6040edfc6e6d5f0 (KEY)0000548720150000056000200001sonrestrictedschurpolynomials DE-627 ger DE-627 rakwb eng 530 510 DNB UA 4660 AVZ rvk Garreth Kemp verfasserin aut SO(N) restricted Schur polynomials 2015 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier We focus on the 1/4-BPS sector of free super Yang-Mills theory with an SO(N) gauge group. This theory has an AdS/CFT (an equivalence between a conformal field theory in d-1 dimensions and type II string theory defined on an AdS space in d-dimensions) dual in the form of type IIB string theory with geometry. With the aim of studying excited giant graviton dynamics, we construct an orthogonal basis for this sector of the gauge theory in this work. First, we demonstrate that the counting of states, as given by the partition function, and the counting of restricted Schur polynomials match by restricting to a particular class of Young diagram labels. We then give an explicit construction of these gauge invariant operators and evaluate their two-point function exactly. This paves the way to studying the spectral problem of these operators and their D-brane duals. Physics Geometry String theory Polynomials High Energy Physics Theory Enthalten in Journal of mathematical physics Melville, NY : American Institute of Physics, 1960 56(2015), 2, Seite 1 (DE-627)129549703 (DE-600)219135-0 (DE-576)01500290X 0022-2488 nnns volume:56 year:2015 number:2 pages:1 http://dx.doi.org/10.1063/1.4906904 Volltext http://search.proquest.com/docview/1660759291 http://arxiv.org/abs/1405.7017 GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_21 GBV_ILN_22 GBV_ILN_59 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2088 GBV_ILN_2192 GBV_ILN_2279 UA 4660 AR 56 2015 2 1 |
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so(n) restricted schur polynomials |
| title_auth |
SO(N) restricted Schur polynomials |
| abstract |
We focus on the 1/4-BPS sector of free super Yang-Mills theory with an SO(N) gauge group. This theory has an AdS/CFT (an equivalence between a conformal field theory in d-1 dimensions and type II string theory defined on an AdS space in d-dimensions) dual in the form of type IIB string theory with geometry. With the aim of studying excited giant graviton dynamics, we construct an orthogonal basis for this sector of the gauge theory in this work. First, we demonstrate that the counting of states, as given by the partition function, and the counting of restricted Schur polynomials match by restricting to a particular class of Young diagram labels. We then give an explicit construction of these gauge invariant operators and evaluate their two-point function exactly. This paves the way to studying the spectral problem of these operators and their D-brane duals. |
| abstractGer |
We focus on the 1/4-BPS sector of free super Yang-Mills theory with an SO(N) gauge group. This theory has an AdS/CFT (an equivalence between a conformal field theory in d-1 dimensions and type II string theory defined on an AdS space in d-dimensions) dual in the form of type IIB string theory with geometry. With the aim of studying excited giant graviton dynamics, we construct an orthogonal basis for this sector of the gauge theory in this work. First, we demonstrate that the counting of states, as given by the partition function, and the counting of restricted Schur polynomials match by restricting to a particular class of Young diagram labels. We then give an explicit construction of these gauge invariant operators and evaluate their two-point function exactly. This paves the way to studying the spectral problem of these operators and their D-brane duals. |
| abstract_unstemmed |
We focus on the 1/4-BPS sector of free super Yang-Mills theory with an SO(N) gauge group. This theory has an AdS/CFT (an equivalence between a conformal field theory in d-1 dimensions and type II string theory defined on an AdS space in d-dimensions) dual in the form of type IIB string theory with geometry. With the aim of studying excited giant graviton dynamics, we construct an orthogonal basis for this sector of the gauge theory in this work. First, we demonstrate that the counting of states, as given by the partition function, and the counting of restricted Schur polynomials match by restricting to a particular class of Young diagram labels. We then give an explicit construction of these gauge invariant operators and evaluate their two-point function exactly. This paves the way to studying the spectral problem of these operators and their D-brane duals. |
| collection_details |
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| container_issue |
2 |
| title_short |
SO(N) restricted Schur polynomials |
| url |
http://dx.doi.org/10.1063/1.4906904 http://search.proquest.com/docview/1660759291 http://arxiv.org/abs/1405.7017 |
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| doi_str |
10.1063/1.4906904 |
| up_date |
2024-07-04T02:58:18.631Z |
| _version_ |
1803615625420996608 |
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7.4019136 |