A-infinity structure in string theory and the Yang-Mills equation

Dmitry Grigoryev; Pavel Khromov

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arXiv · 1101.5388

A-infinity structure in string theory and the Yang-Mills equation

Dmitry Grigoryev·Pavel Khromov

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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.

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Dmitry Grigoryev, Pavel Khromov. 2011-01-27. A-infinity structure in string theory and the Yang-Mills equation. https://arxiv.org/abs/1101.5388

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