On the N = 2 supersymmetric σ model and Chern-Simons terms

1995/08/31 by Massimiliano Ciuchini, J. A. Gracey, J.A. Gracey · 2 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1016/0550-3213(95)00428-u

published as Nucl.Phys. B454 (1995) 103-126 · 24 pages latex, 2 uuencoded figures and 2 uuencoded tables

arxiv created 1995/08/31 · openalex publication_date 1995/11/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We use the large N self consistency method to compute the critical exponents of the fields and coupling of the supersymmetric CP(N) sigma model at leading order in 1/N in various dimensions. We verify that the correction to the critical beta-function slope vanishes at O(1/N) which is consistent with supersymmetry. The three dimensional model is investigated explicitly when a Chern Simons term is included supersymmetrically. We determine the modification that this has on the gauge independent quantity β^′(g_c) as a function of the Chern Simons coupling, ϑ. For an N = 2 supersymmetric Chern Simons term the exponent is independent of ϑ at O(1/N), whilst it is invariant under ϑ → 1/ϑ when an N = 1 supersymmetric Chern Simons term is included.

Citations

• Current Algebra in Three Dimensions
• Nonrenormalization properties of the Chern-Simons action coupled to matter
• Topologically massive gauge theories

Cited by

• Coupling of fermions to the three-dimensional noncommutativeCPN−1model: Minimal and supersymmetric extensions
• Superfield formalism for the one loop effective action and CP(N) model in three dimensions