中文

A universal symmetry structure in open string theory

高能物理 - 理论 2007-05-23 v2

摘要

In this paper, we arrive from different starting points at the conclusion that the symmetry given by an action of the Grothendieck-Teichmueller group GT on the so called extended moduli space of string theory can not be physical - in the sense that it does not survive the inclusion of general nonperturbative vacua given by boundary conditions on the level of two dimensional conformal field theory - but has to be extended to a quantum symmetry given by a self-dual, noncommutative, and noncocommutative Hopf algebra. First, we show that a class of two dimensional boundary conformal field theories always uniquely defines a trialgebra and find the above mentioned Hopf algebra as the universal symmetry of such trialgebras (in analogy to the definition of GT as the universal symmetry of quasi-triangular quasi-Hopf algebras). Second, we argue in a more heuristic approach that this Hopf algebra symmetry can also be found in a more geometric picture using the language of gerbes.

关键词

引用

@article{arxiv.hep-th/0203183,
  title  = {A universal symmetry structure in open string theory},
  author = {Karl-Georg Schlesinger},
  journal= {arXiv preprint arXiv:hep-th/0203183},
  year   = {2007}
}

备注

14 pages