On the infrared behaviour of 3d Chern-Simons theories in N=2 superspace

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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26 pages, 6 figures, JHEP3; v2: minor corrections and references added; v3: introduction expanded, presentation of section 3.3

Scientific paper

10.1007/JHEP11(2010)128

We discuss the problem of infrared divergences in the N=2 superspace approach to classically marginal three-dimensional Chern-Simons-matter theories. Considering the specific case of ABJM theory, we describe the origin of such divergences and offer a prescription to eliminate them by introducing non-trivial gauge-fixing terms in the action. We also comment on the extension of our procedure to higher loop order and to general three-dimensional Chern-Simons-matter models.

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