Duality of three-dimensional superfield theories

2006/04/26 by A. F. Ferrari, M. Gomes, J. R. Nascimento +3 · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.1103/physrevd.73.105010

published as Phys.Rev.D73:105010,2006 · 18 pages,2 figures, revtex4, v2: corrected references

arxiv created 2006/04/26 · openalex publication_date 2006/05/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Within the superfield approach, we consider the duality between the supersymmetric Maxwell-Chern-Simons and self-dual theories in three spacetime dimensions. Using a gauge embedding method, we construct the dual theory to the self-dual model interacting with a matter superfield, which turns out to be not the Maxwell-Chern-Simons theory coupled to matter, but a more complicated model, with a restricted gauge invariance. We stress the difficulties in dualizing the self-dual field coupled to matter into a theory with complete gauge invariance. After that, we show that the duality, achieved between these two models at the tree level, also holds up to the lowest order quantum corrections.

Cited by

• On the duality in four-dimensional Lorentz-breaking field theories
• On the duality in CPT-even Lorentz-breaking theories
• Equivalence between supersymmetric self-dual and Maxwell–Chern–Simons models coupled to a matter spinor superfield
• Dualization between supersymmetric self-dual and topologically massive models coupled to matter in four-dimensional superspace