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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Main Authors: M. Beccaria, A. Cabo-Bizet
Format: Article
Language:English
Published: SpringerOpen 2023-02-01
Series:Journal of High Energy Physics
Subjects:
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.
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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