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

Abstract

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.

26 pages, 6 figures, JHEP3; v2: minor corrections and references added; v3: introduction expanded, presentation of section 3.3.1 improved, references added, version to appear in JHEP

References in corpus (5)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• An N=1 Superfield Action for M2 branes

Cited by in corpus (2)

• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• Constant primary operators and where to find them: The strange case of BPS defects in ABJ(M) theory