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

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.

preprint2011arXivOpen access
Dmitry GrigoryevPavel Khromov
hep-th
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Open access2 authors1 topic
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Dmitry GrigoryevPavel Khromov

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