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

2011/01/27 by D. A. Grigoryev, Grigoryev, Dmitry, Pavel Khromov +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1101.5388

openalex publication_date 2011/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Open strings in background gauge fields
• Non-linear electrodynamics from quantized strings
• Introduction to A-infinity algebras and modules

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