Supermembrane with Non-Abelilan Gauging and Chern-Simons Quantization

Abstract

We present non-Abelian gaugings of supermembrane for general isometries for compactifications from eleven-dimensions, starting with Abelian case as a guide. We introduce a super Killing vector in eleven-dimensional superspace for a non-Abelian group G associated with the compact space B for a general compactification, and couple it to a non-Abelian gauge field on the world-volume. As a technical tool, we use teleparallel superspace with no manifest local Lorentz covariance. Interestingly, the coupling constant is quantized for the non-Abelian group G, due to its generally non-trivial mapping π_3(G).

16 pages, no figures. The content has been considerably changed with non-Abelian generalization

References in corpus (3)

• Gauged/Massive Supergravities in Diverse Dimensions
• Topologican Gauging of N=16 Supergravity in Three-Dimensions
• Teleparallel Superspace in Eleven Dimensions Coupled to Supermembranes

Cited by in corpus (3)

• The supermembrane revisited
• Alephnull-Extended Supersymmetric Chern-Simons Theory for Arbitrary Gauge Groups
• Lorentz-Covariant Non-Abelian Gauging of Supermembrane