Background field formalism and construction of effective action for N=2, d=3 supersymmetric gauge theories

Abstract

We review the background field method for three-dimensional Yang-Mills and Chern-Simons models in N=2 superspace. Superfield proper time (heat kernel) techniques are developed and exact expressions of heat kernels for constant backgrounds are presented. The background field method and heat kernel techniques are applied for evaluating the low-energy effective actions in N=2 supersymmetric Yang-Mills and Chern-Simons models as well as in N=4 and N=8 SYM theories.

1+30 pages, dedicated to the 60 year Jubilee of Professor D.I. Kazakov; references added. arXiv admin note: substantial text overlap with arXiv:1010.4967

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Cited by in corpus (8)

• Superfield theories on $S^3$ and their localization
• Two-loop low-energy effective action in Abelian supersymmetric Chern-Simons matter models
• Gauge and matter superfield theories on $S^2$
• Two-loop low-energy effective actions in N=2 and N=4 three-dimensional SQED
• Low-energy effective action in two-dimensional SQED: A two-loop analysis
• Topological resolution of gauge theory singularities
• Dual equivalence between the Maxwell-Chern-Simons theory and two self-dual massive models interacting with matter in $\mathcal{N}=2$, $d=3$ superspace
• Noncommutative $\mathcal{N}=2$ Chern-Simons-matter model