Two-loop low-energy effective actions in N=2 and N=4 three-dimensional SQED

Abstract

We study two-loop Euler-Heisenberg effective actions in three-dimensional N=2 and N=4 supersymmetric quantum electrodynamics (SQED) without Chern-Simons term. We find exact expressions for propagators of chiral superfields interacting with slowly-varying N=2 gauge superfield. Using these propagators we compute two-loop effective actions in the N=2 and N=4 SQED as the functionals of superfield strengths and their covariant spinor derivatives. The obtained effective actions contain new terms having no four-dimensional analogs. As an application, we find two-loop quantum corrections to the moduli space metric in the N=2 SQED.

1+33 pages, v2: minor changes; v3: reference added

References in corpus (5)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Algebraic structures on parallel M2-branes
• Seiberg Duality in Chern-Simons Theory
• Low-energy effective actions in three-dimensional extended SYM theories
• Background field formalism and construction of effective action for N=2, d=3 supersymmetric gauge theories

Cited by in corpus (3)

• Gauge and matter superfield theories on $S^2$
• Two-loop low-energy effective action in Abelian supersymmetric Chern-Simons matter models
• Low-energy effective action in two-dimensional SQED: A two-loop analysis