Abstract
We consider four dimensional U(N) \( \mathcal{N} \) = 4 SYM theory interacting with a 3d \( \mathcal{N} \) = 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 \( \frac{1}{2} \)-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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Beccaria, M., Cabo-Bizet, A. 1/N expansion of the D3-D5 defect CFT at strong coupling. J. High Energ. Phys. 2023, 208 (2023). https://doi.org/10.1007/JHEP02(2023)208
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DOI: https://doi.org/10.1007/JHEP02(2023)208