Year: 2024
Type: article
Abstract: A bstract Many observables in 4d $$ \mathcal{N} $$ N = 4 SYM with Gaiotto-Witten boundary conditions can be described exactly by matrix models via supersymmetric localization. The boundaries typically introduce new degrees of freedom, through a reduction of the gauge symmetry on the boundary or as explicit boundary degrees of freedom, leading to non-trivial matrix models. We derive the saddle points dominating these matrix models at large N , expressed in terms of generalized Lambert W-functions. In string theory the BCFTs are realized by D3-branes ending on D5 and NS5 branes. We independently derive the saddle points from the holographic duals with AdS 4 ×S 2 ×S 2 ×Σ geometry and provide precision tests of the dualities.
Source: Journal of High Energy Physics
Authors: Dongming He, Christoph F. Uhlemann
Institutions: Vrije Universiteit Brussel, International Solvay Institutes
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405984442