Algebra of Higher Antibrackets

TL;DR

This paper simplifies the understanding of higher antibrackets, showing their algebraic relations mirror those in string field theory, and extends the framework to include Sp(2)-symmetry.

Contribution

It provides a simplified algebraic description of higher antibrackets and connects them to string field theory structures, including Sp(2)-symmetry generalization.

Findings

Higher antibrackets satisfy relations identical to higher string products.

The formalism is extended to Sp(2)-symmetric cases.

Provides a unified algebraic framework for these structures.

Abstract

We present a simplified description of higher antibrackets, generalizations of the conventional antibracket of the Batalin-Vilkovisky formalism. We show that these higher antibrackets satisfy relations that are identical to those of higher string products in non-polynomial closed string field theory. Generalization to the case of Sp(2)-symmetry is also formulated.