Comments on the topological open membrane

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages, latex2e, uses revtex4

Scientific paper

10.1103/PhysRevD.66.025010

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.

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