A universal symmetry structure in open string theory
| dc.creator | Schlesinger, Karl-Georg | |
| dc.date | 2002-03-20 | |
| dc.date | 2003-04-03 | |
| dc.date.accessioned | 2026-07-07T04:13:16Z | |
| dc.date.available | 2026-07-07T04:13:16Z | |
| dc.description | 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. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/0203183 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0203183 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/51201 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A universal symmetry structure in open string theory | |
| dc.type | text |