Gravity duals of 2d supersymmetric gauge theories

Details Gravity duals of 2d supersymmetric gauge theories Gravity duals of 2d supersymmetric gauge theories

2009-09-16

arxiv.org/abs/0909.3106v2

JHEP 0912:006,2009

Physics

High Energy Physics

High Energy Physics - Theory

34 pages + appendices; v2: minor improvements

Scientific paper

10.1088/1126-6708/2009/12/006

We find new supergravity solutions generated by D5-branes wrapping a four-cycle and preserving four and two supersymmetries. We first consider the configuration in which the fivebranes wrap a four-cycle in a Calabi-Yau threefold, which preserves four supersymmetries and is a gravity dual to the Coulomb branch of two-dimensional gauge theories with N=(2,2) supersymmetry. We also study the case of fivebranes wrapping a co-associative four-cycle in a manifold of G_2-holonomy, which provides a gravity dual of N=(1,1) supersymmetric Yang-Mills theory in two dimensions. We also discuss the addition of unquenched fundamental matter fields to these backgrounds and find the corresponding gravity solutions with flavor brane sources.

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