期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 2, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP02(2023)208
关键词
1/N Expansion; AdS-CFT Correspondence; Matrix Models
This study considers a four dimensional U(N) N = 4 SYM theory interacting with a 3d N = 4 theory on a co dimension-one interface, which is holographically dual to the D3-D5 system without flux. Localization captures various observables in this dCFT, including the free energy, defect expectation value, and single trace 1/2-BPS composite scalars. These quantities can be computed in a hermitian one-matrix model with a non-polynomial single-trace potential. The integrable Volterra hierarchy underlying the matrix model is exploited to systematically study its 1/N expansion at any 't Hooft coupling.
We consider four dimensional U(N) N = 4 SYM theory interacting with a 3d N = 4 theory living on a co dimension-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.
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