Vacuum structure in 3d supersymmetric gauge theories

Abstract

Based on a talk given at the Pomeranchuk memorial conference at ITEP in June 2013, we review the vacuum dynamics in 3d supersymmetric Yang-Mills-Chern-Simons theories with and without extra matter multiplets. By analyzing the effective Born-Oppenheimer Hamiltonian in a small spatial box, we calculate the number of vacuum states (Witten index) and examine their structure for these theories. The results are identical to those obtained by other methods.

34 pages, 5 figures. Minor corrections. arXiv admin note: text overlap with arXiv:1308.5951

References in corpus (3)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Superconformal indices for N=1 theories with multiple duals

Cited by in corpus (2)

• Monopole harmonics on ${\mathbb{CP}}^{n-1}$
• Multidimensional Dirac strings and the Witten index of SYMCS theories with groups of higher rank