F-theorem, duality and SUSY breaking in one-adjoint Chern-Simons-Matter theories

Details F-theorem, duality and SUSY breaking in one-adjoint Chern-Simons-Matter theories F-theorem, duality and SUSY breaking in one-adjoint Chern-Simons-Matter theories

2011-08-24

arxiv.org/abs/1108.4963v3

Physics

High Energy Physics

High Energy Physics - Theory

42 pages, 12 figures; v2 mostly cosmetic changes, references added; v3 minor changes to match the published version in NPB

Scientific paper

We extend previous work on N=2 Chern-Simons theories coupled to a single adjoint chiral superfield using localization techniques and the F-maximization principle. We provide tests of a series of proposed 3D Seiberg dualities and a new class of tests of the conjectured F-theorem. In addition, a proposal is made for a modification of the F-maximization principle that takes into account the effects of decoupling fields. Finally, we formulate and provide evidence for a new general non-perturbative constraint on spontaneous supersymmetry breaking in three dimensions based on Q-deformed S^3 partition functions. An explicit illustration based on the known analytic solution of the Chern-Simons matrix model is presented.

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