On Phases of Generic Toric Singularities

Abstract

We systematically study the phases of generic toric singularities, using methods initiated in hep-th/0612046. These correspond to Gauged Linear Sigma Models with arbitrary charges. We show that complete information about generic $U(1{)}^r$ GLSMs can be obtained by studying the GLSM Lagrangian, appropriately modified in the different phases of the theory. This can be used to study the different phases of $L^{a,b,c}$ spaces and their non-supersymmetric counterparts.

1+17 Pages, LaTeX

References in corpus (7)

• Gauge Theories from Toric Geometry and Brane Tilings
• An Infinite Family of Superconformal Quiver Gauge Theories with Sasaki-Einstein Duals
• Toric Geometry, Sasaki-Einstein Manifolds and a New Infinite Class of AdS/CFT Duals
• On tachyons, gauged linear sigma models, and flip transitions
• On Localized Tachyon Condensation in $\BC^2/\BZ_n$ and $\BC^3/\BZ_n$
• Phases of unstable conifolds
• On Tachyons in Generic Orbifolds of $\BC^r$ and Gauged Linear Sigma Models