BV Quantization of Topological Open Membranes

Details BV Quantization of Topological Open Membranes BV Quantization of Topological Open Membranes

2002-09-25

arxiv.org/abs/hep-th/0209214v2

Commun.Math.Phys.249:249-271,2004

Physics

High Energy Physics

High Energy Physics - Theory

25 pages LaTeX; added some dicussions and clarifications, typos corrected

Scientific paper

10.1007/s00220-004-1106-7

We study bulk-boundary correlators in topological open membranes. The basic example is the open membrane with a WZ coupling to a 3-form. We view the bulk interaction as a deformation of the boundary string theory. This boundary string has the structure of a homotopy Lie algebra, which can be viewed as a closed string field theory. We calculate the leading order perturbative expansion of this structure. For the 3-form field we find that the C-field induces a trilinear bracket, deforming the Lie algebra structure. This paper is the first step towards a formal universal quantization of general quasi-Lie bialgebroids.

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