(2,2) Geometry from Gauge Theory

Understand

Using gauge theory, we describe how to construct generalized Kahler geometries with (2,2) two-dimensional supersymmetry, which are analogues of familiar examples like projective spaces and Calabi-Yau manifolds.

• For special cases, T-dual descriptions can be found which are squashed Kahler spaces.
• We explore the vacuum structure of these gauge theories by studying the Coulomb branch, which usually encodes the quantum cohomology ring.
• Some models without Kahler dual descriptions possess unusual Coulomb branches.