Affiliation:
1. Department of Physica and Astronomy, University of Maryland at College Park, College Park, MD 20742-4111, USA
2. Department of Physics and Astronomy, Howard University, Washington, DC, 20059, USA
Abstract
We study various Chern–Simons (CS) theories in three dimensions with extended super-symmetries. Starting with remarks on nonsupersymmetric cases, we give (i) N = 2 non-Abelian CS theories, (ii) N = 4 non-Abelian CS theory, (iii) conformal supergravity CS theories for general N ≥ 2 up to N = ∞, (iv) CS action in terms of composite gauge fields, based on the N = 1 supersymmetric SO (n + 1)/ SO (n) σ model, (v) relationship of CS theories with higher-dimensional supersymmetric theories, especially with ten-dimensional heterotic string theory, (vi) a prototype model yielding the N = 2 CS theories, (vii) N = 8M and N = 8M − 2 extended supersymmetric Abelian CS theories, and (viii) CS theories for graded Lie groups. Some remarks on anyon models and supersymmetric Jones polynomials are also given.
Publisher
World Scientific Pub Co Pte Lt
Subject
Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics
Cited by
118 articles.
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