1/N expansion of the D3-D5 defect CFT at strong coupling
Abstract We consider four dimensional U(N) N $$ \mathcal{N} $$ = 4 SYM theory interacting with a 3d N $$ \mathcal{N} $$ = 4 theory living on a codimension-one interface and holographically dual to the D3-D5 system without flux. Localization captures several observables in this dCFT, including its fr...
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Format: | Article |
Language: | English |
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SpringerOpen
2023-02-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP02(2023)208 |
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author | M. Beccaria A. Cabo-Bizet |
author_facet | M. Beccaria A. Cabo-Bizet |
author_sort | M. Beccaria |
collection | DOAJ |
description | Abstract We consider four dimensional U(N) N $$ \mathcal{N} $$ = 4 SYM theory interacting with a 3d N $$ \mathcal{N} $$ = 4 theory living on a codimension-one interface and holographically dual to the D3-D5 system without flux. Localization captures several observables in this dCFT, including its free energy, related to the defect expectation value, and single trace 1 2 $$ \frac{1}{2} $$ -BPS composite scalars. These quantities may be computed in a hermitian one-matrix model with non-polynomial single-trace potential. We exploit the integrable Volterra hierarchy underlying the matrix model and systematically study its 1/N expansion at any value of the ’t Hooft coupling. In particular, the strong coupling regime is determined — up to non-perturbative exponentially suppressed corrections — by differential relations that constrain higher order terms in the 1/N expansion. The analysis is extended to the model with SU(N) gauge symmetry by resorting to the more general Toda lattice equations. |
first_indexed | 2024-03-12T23:27:02Z |
format | Article |
id | doaj.art-48f6f5d943d743cf9ca91b7893e8e18d |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-03-12T23:27:02Z |
publishDate | 2023-02-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-48f6f5d943d743cf9ca91b7893e8e18d2023-07-16T11:06:06ZengSpringerOpenJournal of High Energy Physics1029-84792023-02-012023214210.1007/JHEP02(2023)2081/N expansion of the D3-D5 defect CFT at strong couplingM. Beccaria0A. Cabo-Bizet1Università del Salento, Dipartimento di Matematica e Fisica Ennio De Giorgi, and I.N.F.N. — sezione di LecceUniversità del Salento, Dipartimento di Matematica e Fisica Ennio De Giorgi, and I.N.F.N. — sezione di LecceAbstract We consider four dimensional U(N) N $$ \mathcal{N} $$ = 4 SYM theory interacting with a 3d N $$ \mathcal{N} $$ = 4 theory living on a codimension-one interface and holographically dual to the D3-D5 system without flux. Localization captures several observables in this dCFT, including its free energy, related to the defect expectation value, and single trace 1 2 $$ \frac{1}{2} $$ -BPS composite scalars. These quantities may be computed in a hermitian one-matrix model with non-polynomial single-trace potential. We exploit the integrable Volterra hierarchy underlying the matrix model and systematically study its 1/N expansion at any value of the ’t Hooft coupling. In particular, the strong coupling regime is determined — up to non-perturbative exponentially suppressed corrections — by differential relations that constrain higher order terms in the 1/N expansion. The analysis is extended to the model with SU(N) gauge symmetry by resorting to the more general Toda lattice equations.https://doi.org/10.1007/JHEP02(2023)2081/N ExpansionAdS-CFT CorrespondenceMatrix Models |
spellingShingle | M. Beccaria A. Cabo-Bizet 1/N expansion of the D3-D5 defect CFT at strong coupling Journal of High Energy Physics 1/N Expansion AdS-CFT Correspondence Matrix Models |
title | 1/N expansion of the D3-D5 defect CFT at strong coupling |
title_full | 1/N expansion of the D3-D5 defect CFT at strong coupling |
title_fullStr | 1/N expansion of the D3-D5 defect CFT at strong coupling |
title_full_unstemmed | 1/N expansion of the D3-D5 defect CFT at strong coupling |
title_short | 1/N expansion of the D3-D5 defect CFT at strong coupling |
title_sort | 1 n expansion of the d3 d5 defect cft at strong coupling |
topic | 1/N Expansion AdS-CFT Correspondence Matrix Models |
url | https://doi.org/10.1007/JHEP02(2023)208 |
work_keys_str_mv | AT mbeccaria 1nexpansionofthed3d5defectcftatstrongcoupling AT acabobizet 1nexpansionofthed3d5defectcftatstrongcoupling |