Kutasov-like duality from D5-branes wrapping hyperbolic cycles

TL;DR

This paper explores supergravity solutions with D5-branes on hyperbolic cycles, revealing dual four-dimensional N=1 theories exhibiting a Kutasov-like duality, and analyzes their properties.

Contribution

It demonstrates the existence of supergravity solutions with flavor D5-branes that correspond to N=1 theories with a Kutasov-like duality, extending previous duality frameworks.

Findings

Some solutions with non-zero N_f are dual to theories with N_c transforming as N_c to k N_f - N_c.

The parameter k can be rational and adjusted to be an integer.

The study provides insights into properties of these dual field theories.

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.