Exact Solutions of 2d Supersymmetric Gauge Theories

Apr 21, 2014
46 pages
Published in:
  • JHEP 11 (2019) 174
  • Published: Nov 29, 2019
e-Print:
Report number:
  • CALT-68-2886

Citations per year

2014201720202023202402468101214
Abstract: (Springer)
We study dynamics of two-dimensional non-abelian gauge theories with N \mathcal{N} = (0, 2) supersymmetry that include N \mathcal{N} = (0, 2) supersymmetric QCD and its generaliza- tions. In particular, we present the phase diagram of N \mathcal{N} = (0, 2) SQCD and determine its massive and low-energy spectrum. We find that the theory has no mass gap, a nearly constant distribution of massive states, and lots of massless states that in general flow to an interacting CFT. For a range of parameters where supersymmetry is not dynamically broken at low energies, we give a complete description of the low-energy physics in terms of 2d N \mathcal{N} = (0, 2) SCFTs using anomaly matching and modular invariance. Our construction provides a vast landscape of new N \mathcal{N} = (0, 2) SCFTs which, for small values of the central charge, could be used for building novel heterotic models with no moduli and, for large values of the central charge, could be dual to AdS3_{3} string vacua.
Note:
  • 45 pages, 17 figures
  • Conformal and W Symmetry
  • Conformal Field Theory
  • Supersymmetry and Duality
  • quantum chromodynamics: supersymmetry
  • dimension: 2
  • gauge field theory: nonabelian
  • invariance: modular
  • model: heterotic
  • energy: low
  • mass: gap