Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-01-27
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, 9 figures
Scientific paper
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.
Grigoryev Dmitry
Khromov Pavel
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