1/N expansion of the D3-D5 defect CFT at strong coupling

A bstract We consider four dimensional U( N ) N = 4 SYM theory interacting with a 3d 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...

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Bibliographic Details
Published in:The journal of high energy physics 2023-02, Vol.2023 (2), p.208-42, Article 208
Main Authors: Beccaria, M., Cabo-Bizet, A.
Format: Article
Language:English
Subjects:
1/N Expansion
AdS-CFT Correspondence
Algebra
Classical and Quantum Gravitation
Coupling
Defects
Elementary Particles
Energy
Free energy
Geometry
High energy physics
Localization
Matrices (mathematics)
Matrix Models
Physics
Physics and Astronomy
Polynomials
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scalars
String Theory
Symmetry
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Summary:A bstract We consider four dimensional U( N ) N = 4 SYM theory interacting with a 3d 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 -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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP02(2023)208