Remarks on 2d Unframed Quiver Gauge Theories

Abstract

We study 2d $\mathcal{N}=(2,2)$ quiver gauge theories without flavor nodes. There is a special class of quivers whose gauge group ranks stay positive in any duality frame. We illustrate this with the Abelian Kronecker quiver and the Abelian Markov quiver as the simplest examples. In the geometric phase, they engineer an infinite sequence of projective spaces and hypersurfaces in Calabi-Yau spaces, respectively. We show that the Markov quiver provides an Abelianization of SU(3) SQCD. Turning on the FI parameters and the $\theta$ angles for the Abelian quiver effectively deform SQCD by such parameters. For an Abelian necklace quiver corresponding to SU($k$) SQCD, we find evidence for singular loci supporting non-compact Coulomb branches in the Kähler moduli space.

24 pages. Comments are welcome

References in corpus (7)

• Witten Index and Wall Crossing
• GLSM's for partial flag manifolds
• The long flow to freedom
• Gauge/Bethe correspondence from quiver BPS algebras
• Seiberg duality for Chern-Simons quivers and D-brane mutations
• Recent developments in 2d $\mathcal{N}=(2,2)$ supersymmetric gauge theories
• Quantum cohomology of symplectic flag manifolds

Cited by in corpus (2)

• Bethe-State Counting and the Witten Index
• Spin-$s$ Rational $Q$-system