# $A_\infty$-Algebra from Supermanifolds

## TL;DR

This paper constructs an $A_
Infty$-algebra structure from supermanifolds by developing multilinear non-associative products of differential forms, inspired by superstring theory analogies.

## Contribution

It introduces a novel method to derive $A_
Infty$-algebras from supermanifolds using multilinear non-associative products of forms.

## Key findings

- Established a new $A_
Infty$-algebra framework from supermanifolds
- Linked supergeometry with algebraic structures in string theory
- Provided explicit construction of multilinear products

## 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.