Abstract
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 \( {U_k}_{{}_1}(1)\times \cdots \times {U}_{k_N}(1) \) .
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ArXiv ePrint: 1704.03266
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Russo, J.G., Schaposnik, F.A. \( \mathcal{N}=2 \) Chern-Simons-matter theories without vortices. J. High Energ. Phys. 2017, 62 (2017). https://doi.org/10.1007/JHEP07(2017)062
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DOI: https://doi.org/10.1007/JHEP07(2017)062