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Title:
Non-Abelian T-dualities in gauged linear sigma models
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Abstract:
We explore non-Abelian T-dualities in Gauged Linear Sigma Models in two dimensions with (2,2) and (2,0) supersymmetry and U(1) gauge group. These constitute generalizations of the Abelian T-duality that give rise to mirror symmetric models. We have constructed the duality by gauging global symmetries of a given GLSM and adding Lagrange multiplier fields, interpolating between dual models. In the (2,2) case we discuss the duality for the GLSM with SU(2)xSU(2) global symmetry and vacuum given by the resolved conifold. We also present the non-Abelian dualization of the (2,0) models. We expect these dualities to give rise to new geometric relations and physical equivalences.
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