Corpus ID: 216642105

# $L_\infty$-algebras and membrane sigma models

@article{Grewcoe2020L_inftyalgebrasAM,
title={\$L_\infty\$-algebras and membrane sigma models},
author={Clay James Grewcoe and Larisa Jonke},
journal={arXiv: High Energy Physics - Theory},
year={2020}
}
• Published 2020
• Physics, Mathematics
• arXiv: High Energy Physics - Theory
• Membrane sigma-models have been used for the systematic description of closed strings in non-geometric flux backgrounds. In particular, the conditions for gauge invariance of the corresponding action functionals were related to the Bianchi identities for the fluxes. In this contribution we demonstrate how to express these Bianchi identities in terms of homotopy relations of the underlying $L_\infty$-algebra for the case of the Courant sigma-model. We argue that this result can be utilized in… CONTINUE READING

#### References

##### Publications referenced by this paper.
SHOWING 1-10 OF 44 REFERENCES

## Courant sigma model and $L_\infty$-algebras.

• Physics, Chemistry, Mathematics
• 2020

## Membrane sigma-models and quantization of non-geometric flux backgrounds

• Physics, Mathematics
• 2012
VIEW 2 EXCERPTS

## Double field theory and membrane sigma-models

• Physics, Mathematics
• 2018
VIEW 5 EXCERPTS

## BV Quantization of Topological Open Membranes

• Mathematics, Physics
• 2004
VIEW 3 EXCERPTS

## Bootstrapping non-commutative gauge theories from L∞ algebras

• Physics, Mathematics
• 2018

## Non-geometric Backgrounds and the First Order String Sigma Model

VIEW 1 EXCERPT

## Sigma models for genuinely non-geometric backgrounds

• Physics
• 2015
VIEW 1 EXCERPT

## Topological Open P-Branes

VIEW 4 EXCERPTS
HIGHLY INFLUENTIAL

## Non-geometric fluxes, asymmetric strings and nonassociative geometry

• Physics, Mathematics, Computer Science
• 2011
VIEW 1 EXCERPT

## $L_{\infty}$ Algebras and Field Theory

• Chemistry, Physics, Mathematics
• 2017