Comments on the topological open membrane

Abstract

Just as non-commutative gauge theories arise from quantising open strings in a large magnetic field, non-Abelian two-form gauge theories may conceivably be constructed by quantising open membranes in a large three-form magnetic background. We make some observations that arise in following this strategy, with an emphasis on the relation to the quantisation of volume-preserving diffeomorphisms (vpd). In particular, we construct consistent non-Abelian interactions of a two-form in 3+1 dimensions, based on gauge invariance under vpd.

6 pages, latex2e, uses revtex4

References in corpus (4)

• Minimal representations, spherical vectors, and exceptional theta series I
• $R^4$ couplings, the fundamental membrane and exceptional theta correspondences
• Open Membranes, p-Branes and Noncommutativity of Boundary String Coordinates
• From noncommutative string/membrane to ordinary ones

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