Non-Abelian T-dualities in (0,2) gauged linear sigma models

Abstract: We consider U(1) two dimensional gauged linear sigma models with (0,2) supersymmetry and global symmetries. We implement T-duality by gauging the global symmetries and adding Lagrange multipliers, via the Roček-Verlinde procedure. First, we find Abelian T-duals, which match the mirror symmetry case. Then, we implement general non-Abelian T-duality for models arising from a reduction of (2,2) supersymmetry; including instanton corrections. We study the case of CP1 target space with SU(2) global symmetry, obtaining as a dual space the disk. We determine the non-Abelian SU(2)xSU(2) dual of CP1xCP1, which consists of two copies of the disk. We fully solve the equations of motion leading to non-Abelian T-duality, improving with respect to the studies for (2,2) supersymmetry.

general relativity and quantum cosmologyHEP - experimentHEP - latticeHEP - phenomenologyHEP - theory

Audience: researchers in the topic

( slides )

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