Quantum A-infinity Structures for Open-Closed Topological Strings
| dc.creator | Herbst, Manfred | |
| dc.date | 2006-02-02 | |
| dc.date.accessioned | 2026-07-07T07:02:50Z | |
| dc.date.available | 2026-07-07T07:02:50Z | |
| dc.description | We study factorizations of topological string amplitudes on higher genus Riemann surfaces with multiple boundary components and find quantum A-infinity relations, which are the higher genus analog of the (classical) A-infinity relations on the disk. For topological strings with $\hat c=3$ the quantum A-infinity relations are trivially satisfied on a single D-brane, whereas in a multiple D-brane configuration they may be used to compute open higher genus amplitudes recursively from disk amplitudes. This can be helpful in open Gromov--Witten theory in order to determine open string higher genus instanton corrections. Finally, we find that the quantum A-infinity structure cannot quite be recast into a quantum master equation on the open string moduli space. | |
| dc.description | 25 pages, 5 figures, LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/hep-th/0602018 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0602018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/108749 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quantum A-infinity Structures for Open-Closed Topological Strings | |
| dc.type | text |