Kutasov-like duality from D5-branes wrapping hyperbolic cycles
Abstract
We study the addition of N_f flavor D5-branes to supergravity solutions describing D5-branes wrapping two-cycles of genus g>1 inside a six-dimensional space equipped with an SU(3)-structure. The non-zero genus g on the gravity side is dual to the existence of massless adjoint chiral superfields. Three types of internal manifolds are considered, each involving one of the following fibered products: H_2 x SL_2, S^2 x SL_2 or H_2 x S^3, where SL_2 stands for the universal cover of SL(2,R). For the first one, we investigate the dual field theories. We show that some of the solutions with N_f non-zero are dual to four-dimensional N = 1 field theories exhibiting a Kutasov-like duality taking N_c to k N_f - N_c, and keeping N_f fixed. Computed from the supergravity picture, k is in general a rational number, which can be made integer to fit the expectation from the field theory side. We finally study some other properties of those field theories.
Cite
@article{arxiv.1011.1451,
title = {Kutasov-like duality from D5-branes wrapping hyperbolic cycles},
author = {Eduardo Conde and Jerome Gaillard},
journal= {arXiv preprint arXiv:1011.1451},
year = {2015}
}
Comments
39 pages plus appendices; v2: minor changes, references added; v3: version published in Nuc.Phys.B