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THE EFFECTIVE ACTION FOR N = 2, D3 SUPER YANG-MILLS-CHERN-SIMONS-MATTER THEORIES // Tomsk State Pedagogical University Bulletin. 2012. Issue 13 (128). P. 45-50

We review the background eld method for three-dimensional Yang-Mills and Chern-Simons models in N = 2 superspace. The background eld 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.

Keywords: superspace, effective action, super Yang-Mills, super Chern-Simons models

EFFECTIVE ACTION IN SIX-DIMENSIONAL HYPERMULTPLET THEORY COUPLED TO THE BACKGROUND VECTOR/TENSOR SYSTEM // Tomsk State Pedagogical University Bulletin. 2014. Issue 12 (153). P. 33-38

We consider the six-dimensional (1,0) hypermultiplet theory coupled to background vector/tensor system in harmonic superspace. An approach to calculating the superfield effective action is developed. It is shown that the classical actions for vector/tensor system are generated as the divergent parts of the effective action.

Keywords: extended supersymmetry, harmonic superspace, vector/tensor hierarchy, effective action