English

BV Quantization of Topological Open Membranes

High Energy Physics - Theory 2011-07-19 v2 Quantum Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/0209214,
  title  = {BV Quantization of Topological Open Membranes},
  author = {Christiaan Hofman and Jae-Suk Park},
  journal= {arXiv preprint arXiv:hep-th/0209214},
  year   = {2011}
}

Comments

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

R2 v1 2026-07-22T15:13:10.983Z