|Date: Monday, September 18, 2017
Location: 4096 East Hall (4:00 PM to 6:00 PM)
Title: Non abelian T Dualities in Gauged Linear Sigma Models
Abstract: We recall the well studied Abelian T-duality on 2d (2,2) Gauge Linear Sigma Models (GLSM) as a gauging of a global U(1) symmetry with the addition of Lagrange multipliers. We extend this construction to GLSMs with global non-Abelian symmetries, which are T-dualized. We obtain the equations of motion describing the dual model and solve them for SU(2) global symmetry with a choice of a particular Lie algebra direction for the vector superfield. This choice leads to a family of Abelian dualities. The Lagrangian of the dual model is obtained in terms of twisted chiral superfields and a twisted superpotential is generated. We address some non-perturbative aspects by making an Ansatz for the instanton corrections in the dual theories. As a result, we verify that the effective potential for the U(1) gauge field on the original theory matches the one of the dual theories. Exploring the non abelian duality for a choice of vector superfield, some dual vacua can be casted as the family of Abelian dual vacua with further restrictions. For SU(2) the duality replaces chiral superfields by twisted chiral superfields along the directions of the global symmetry generators. In more general cases the non abelian T-duality leads to a dual model with semi-chiral superfields.
Speaker: Nana Cabo-Bizet
Institution: University of Guanajuato