Gravity duals of 2d supersymmetric gauge theories
arXiv:0909.3106 · doi:10.1088/1126-6708/2009/12/006
Abstract
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.
34 pages + appendices; v2: minor improvements
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- Gravity Dual of Two-Dimensional Supersymmetric Yang-Mills Theory and Integrable Models