# $\mathcal{N}=2$ Chern-Simons-matter theories without vortices

Journal of High Energy Physics, Jul 2017

We study $\mathcal{N}=2$ Chern-Simons-matter theories with gauge group ${U}_{k_1}(1)\times {U}_{k2}(1)$. 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 × U −k (1) gauge group as a particular case. Similar features are shared by a class of CS-matter theories with gauge group ${U_k}_{{}_1}(1)\times \cdots \times {U}_{k_N}(1)$ .

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1007%2FJHEP07%282017%29062.pdf

Jorge G. Russo, Fidel A. Schaposnik. $\mathcal{N}=2$ Chern-Simons-matter theories without vortices, Journal of High Energy Physics, 2017, 62, DOI: 10.1007/JHEP07(2017)062