$A_{\infty }$-Algebra from Supermanifolds

Abstract

Inspired by the analogy between different types of differential forms on supermanifolds and string fields in superstring theory, we construct new multilinear non-associative products of forms which yield an $A_{\infty }$-algebra.

arXiv comment29 pages, no figures

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Cited by in corpus (8)

• Pictures from Super Chern-Simons Theory
• Super Chern-Simons Theory: BV-formalism and $A_{\infty }$-algebras
• Self-Dual Forms in Supergeometry I: The Chiral Boson
• On the Geometry of Forms on Supermanifolds
• Type II superstring field theory with cyclic L-infinity structure
• Supersymmetric Wilson Loops via Integral Forms
• On Forms, Cohomology, and BV Laplacians in Odd Symplectic Geometry
• Surface Operators in Superspace