Mass Deformations of Brane Brick Models

Abstract

We investigate a class of mass deformations that connect pairs of 2d (0,2) gauge theories associated to different toric Calabi-Yau 4-folds. These deformations are generalizations to 2d of the well-known Klebanov-Witten deformation relating the 4d gauge theories for the C^2/Z_2 x C orbifold and the conifold. We investigate various aspects of these deformations, including their connection to brane brick models and the relation between the change in the geometry and the pattern of symmetry breaking triggered by the deformation. We also explore how the volume of the Sasaki-Einstein 7-manifold at the base of the Calabi-Yau 4-fold varies under deformation, which leads us to conjecture that it quantifies the number of degrees of freedom of the gauge theory and its dependence on the RG scale.

45 pages, 19 figures, 3 tables

References in corpus (8)

• Counting Gauge Invariants: the Plethystic Program
• Sasaki-Einstein Manifolds and Volume Minimisation
• The Master Space of N=1 Gauge Theories
• Brane Tilings and Reflexive Polygons
• Brane Brick Models in the Mirror
• Mastering the Master Space
• Master Space, Hilbert Series and Seiberg Duality
• Mass-deformed Brane Tilings

Cited by in corpus (7)

• The Origin of Calabi-Yau Crystals in BPS States Counting
• Combinatorial and Algebraic Mutations of Toric Fano 3-folds and Mass Deformations of 2d (0,2) Quiver Gauge Theories
• An Overview of Crystals and Double Quiver Yangians
• Birational Transformations on Dimer Integrable Systems
• Birational Transformations and 2d (0,2) Quiver Gauge Theories beyond Toric Fano 3-folds
• Classification and Birational Equivalence of Dimer Integrable Systems for Reflexive Polygons
• Quiver-Invariant Dualities between Brane Tilings