A-infinity structure in string theory and the Yang-Mills equation
High Energy Physics - Theory
2011-01-28 v1
Abstract
We consider local operators of CFT inserted at the boundary of the worldsheet and an infinite set of maps that act on a space of the local operators. These maps have natural CFT interpretation and form A-infinity algebra. In terms of these operators we define the homotopical Maurer-Cartan equation, find its symmetries and explore its properties. Further we recover the Yang-Mills equation from the homotopical Maurer-Cartan equation, identify the first alpha'-correction to it and propose method for calculation all corrections.
Keywords
Cite
@article{arxiv.1101.5388,
title = {A-infinity structure in string theory and the Yang-Mills equation},
author = {Dmitry Grigoryev and Pavel Khromov},
journal= {arXiv preprint arXiv:1101.5388},
year = {2011}
}
Comments
15 pages, 9 figures