English

Noncommutative aspects of open/closed strings via foliations

High Energy Physics - Theory 2008-11-26 v1 Quantum Algebra

Abstract

We give a brief summary of algebraic aspects of string theory arising in the noncommutative geometry setting of foliations called string diagrammatics which we introduced jointly with Bob Penner. We furthermore discuss how this gives rise to actions on the Hochschild complex of a Frobenius algebra. We then explain how this leads to new quantum chains for loop spaces and a stabilization in the semi--simple case.

Keywords

Cite

@article{arxiv.0804.0608,
  title  = {Noncommutative aspects of open/closed strings via foliations},
  author = {Ralph Kaufmann},
  journal= {arXiv preprint arXiv:0804.0608},
  year   = {2008}
}

Comments

12 pages 3 figures. ROMP to appear

R2 v1 2026-06-21T10:27:30.730Z