p-Brane Actions and Higher Roytenberg Brackets

TL;DR

This paper explores higher-dimensional algebraic structures like Roytenberg brackets and their relation to Nambu-Poisson structures, aiming to understand non-geometric flux compactifications in M-theory through p-brane models.

Contribution

It introduces higher Roytenberg brackets and connects them to Nambu-Poisson structures, extending algebraic frameworks for M-theory compactifications.

Findings

Higher Roytenberg brackets are crucial in p-brane models.

Established relation between algebraic structures and Nambu-Poisson geometry.

Provides a foundation for non-geometric flux analysis in M-theory.

Abstract

Motivated by the quest to understand the analog of non-geometric flux compactification in the context of M-theory, we study higher dimensional analogs of generalized Poisson sigma models and corresponding dual string and p-brane models. We find that higher generalizations of the algebraic structures due to Dorfman, Roytenberg and Courant play an important role and establish their relation to Nambu-Poisson structures.