A Vector Non-abelian Chern-Simons Duality

Abstract

Abelian Chern-Simons gauge theory is known to possess a `$S$-self-dual' action where its coupling constant $k$ is inverted {\it i.e.} $k\leftrightarrow \frac{1}{k}$. Here a vector non-abelian duality is found in the pure non-abelian Chern-Simons action at the classical level. The dimensional reduction of the dual Chern-Simons action to two-dimensions constitutes a dual Wess-Zumino-Witten action already given in the literature.

14+1 pages, LaTeX file, no figures, version to appear in Phys. Rev D

References in corpus (2)

• Geometrical interpretation of D-branes in gauged WZW models
• On S-duality in (2+1)-Chern-Simons Supergravity

Cited by in corpus (2)

• On S-duality in (2+1)-Chern-Simons Supergravity
• New Reflections on Gravitational Duality