Witten index in N=1 and N=2 SYMCS theories with matter

Abstract

We calculate the Witten index for 3d supersymmetric Yang-Mills-Chern-Simons theories with matter. For N=2 theories, our results coincide with the results of recent [1]. We compare the situation in 3d to that in 4d N = 1 theories with massive matter. In both cases, extra Higgs vacuum states may appear when the Lagrangian involves nontrivial Yukawa interactions between the matter superfields. In addition, in 3d theories, massive fermion loops affect the index via renormalization of the Chern-Simons level k.

25 pages, 2 figures. Final version published in Nucl. Phys. B

References in corpus (4)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Aspects of 3d N=2 Chern-Simons-Matter Theories
• Superconformal indices for N=1 theories with multiple duals

Cited by in corpus (5)

• Dynamics of 3D SUSY Gauge Theories with Antisymmetric Matter
• On the Witten index of 3d $\mathcal{N}=2$ unitary SQCD with general CS levels
• Spin(7) duality for N=1 CS-matter theories
• Confinement in 3d $\mathcal{N}=2$ exceptional gauge theories
• Multidimensional Dirac strings and the Witten index of SYMCS theories with groups of higher rank