# Heterotic string field theory with cyclic L-infinity structure

## TL;DR

This paper develops a comprehensive heterotic string field theory incorporating both sectors, utilizing cyclic L-infinity algebra to ensure gauge invariance and providing a Wess-Zumino-Witten-like formulation.

## Contribution

It constructs a complete heterotic string field theory with a cyclic L-infinity structure, unifying the Neveu-Schwarz and Ramond sectors in a gauge-invariant framework.

## Key findings

- Successfully constructed cyclic L-infinity algebra for heterotic strings
- Derived gauge-invariant action in homotopy algebraic formulation
- Provided Wess-Zumino-Witten-like action with verified gauge invariance

## Abstract

We construct a complete heterotic string field theory that includes both the Neveu-Schwarz and Ramond sectors. We give a construction of general string products, which realizes a cyclic L-infinity structure and thus provides with a gauge-invariant action in the homotopy algebraic formulation. Through a map of the string fields, we also give the Wess-Zumino-Witten-like action in the large Hilbert space, and verify its gauge invariance independently.