# Worldvolume superalgebra of BLG theory with Nambu-Poisson structure

@article{Low2009WorldvolumeSO, title={Worldvolume superalgebra of BLG theory with Nambu-Poisson structure}, author={Andrew M. Low}, journal={Journal of High Energy Physics}, year={2009}, volume={2010}, pages={1-22} }

Recently it was proposed that the Bagger-Lambert-Gustavsson theory with Nambu-Poisson structure describes an M5-brane in a three-form flux background. In this paper we investigate the superalgebra associated with this theory. We derive the central charges corresponding to M5-brane solitons in 3-form backgrounds. We also show that double dimensional reduction of the superalgebra gives rise to the Poisson bracket terms of a non-commutative D4-brane superalgebra. We provide interpretations of the…

## 15 Citations

### Nambu-Poisson bracket and M-theory branes coupled to antisymmetric fluxes

- Mathematics
- 2009

By using the recently proposed prescription [1] for obtaining the M5 brane action from multiple M2 branes action in BLG theory, we examine such transition when 11 Dimensional background antisymmetric…

### M5-brane solution in ABJM theory and three-algebra

- Mathematics
- 2009

We construct a new classical solution in the ABJM theory corresponding to M5-branes with a non-zero self-dual three-form flux. This is an M-theory lift of the D4-brane solution expressed as a…

### A Concise Review on M5-brane in Large C-Field Background

- Mathematics
- 2009

We give a concise review of recent developments of the M5-brane theory derived from the Bagger-Lambert model. It is a 6 dimensional supersymmetric self-dual gauge theory describing an M5-brane in a…

### Branes from a non-Abelian (2,0) tensor multiplet with 3-algebra

- Mathematics
- 2011

In this paper, we study the equations of motion for non-Abelian tensor multiplets in six dimensions, which were recently proposed by Lambert and Papageorgakis. Some equations are regarded as…

### Non-linearly extended self-dual relations from the Nambu-bracket description of M5-brane in a constant C-field background

- Physics
- 2010

The derivation of the self-dual relations for the two-form gauge field in the Nambu-bracket description of M5-brane in a constant C-field background initiated in ref. [1] is completed by including…

### Higher order BLG supersymmetry transformations from 10-dimensional super Yang Mills

- PhysicsJournal of High Energy Physics
- 2014

We study a Simple Route for constructing the higher order Bagger-Lambert-Gustavsson theory - both supersymmetry transformations and Lagrangian - starting from knowledge of only the 10-dimensional…

### BPS states on M5-brane in large C-field background

- Physics
- 2012

A bstractWe extensively study BPS solutions of the low energy effective theory of M5- brane in large C-field background. This provides us an opportunity to explore the interactions turned on by…

### Supersymmetry Transformations from 10-Dimensional Super

- Physics
- 2014

We study a Simple Route for constructing the higher order Bagger-Lambert-Gustavsson theory both supersymmetry transformations and Lagrangian starting from knowledge of only the 10-dimensional Super…

### Aspects of Supersymmetry in Multiple Membrane Theories

- Physics
- 2010

This thesis consists of two parts. In the first part we investigate the worldvolume supersymmetry algebra of multiple membrane theories. We begin with a description of M-theory branes and their…

### M5 brane from mass deformed BLG theory

- Physics
- 2009

We study small fluctuations around a BPS three-sphere vacuum solution of mass deformed BLG theory. We realize the BLG theory by a Nambu bracket and find a maximally supersymmetric lagrangian for the…

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