N=2 Chern-Simons-Matter Theories Without Vortices

Abstract

We study $\mathcal{N}=2$ Chern-Simons-matter theories with gauge group $U_{k_1}(1)\times U_{k_2}(1)$. We find that, when $k_1+k_2=0$, the partition function computed by localization dramatically simplifies and collapses to a single term. We show that the same condition prevents the theory from having supersymmetric vortex configurations. The theories include mass-deformed ABJM theory with $U(1{)}_k\times U_{-k}(1)$ gauge group as a particular case. Similar features are shared by a class of CS-matter theories with gauge group $U_{k_1}(1)\times \cdots \times U_{k_N}(1)$.

17 pages

References in corpus (7)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Notes on SUSY Gauge Theories on Three-Sphere
• Gluon and Wilson loop TMDs for hadrons of spin $\le$ 1
• Vortex-type Half-BPS Solitons in ABJM Theory
• How to resum perturbative series in 3d N=2 Chern-Simons matter theories
• Supersymmetric $U(N)$ Chern-Simons-matter theory and phase transitions
• Vortices and 3 dimensional dualities

Cited by in corpus (1)

• Exact results and Schur expansions in quiver Chern-Simons-matter theories