# Modeling multiple M2-branes

## Abstract

We investigate the worldvolume theory that describes N coincident M2-branes ending on an M5-brane. We argue that the fields that describe the transverse spacetime coordinates take values in a nonassociative algebra. We postulate a set of supersymmetry transformations and find that they close into a novel gauge symmetry. We propose a three-dimensional N=2 supersymmetric action to describe the truncation of the full theory to the scalar and spinor fields, and show how a Basu-Harvey fuzzy funnel arises as the Bogomol'nyi-Prasad-Sommerfield solution to this theory.

- Authors:

- Department of Physics and Astronomy, Johns Hopkins University, 3400 North Charles Street, Baltimore, Maryland 21218 (United States)
- (United Kingdom)

- Publication Date:

- OSTI Identifier:
- 21011113

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.75.045020; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACTION INTEGRAL; ALGEBRA; FUZZY LOGIC; GAUGE INVARIANCE; MATHEMATICAL SOLUTIONS; QUANTUM FIELD THEORY; SCALAR FIELDS; SPACE-TIME; SPINOR FIELDS; SUPERSYMMETRY; THREE-DIMENSIONAL CALCULATIONS; TRANSFORMATIONS

### Citation Formats

```
Bagger, Jonathan, Lambert, Neil, and Department of Mathematics, King's College London, The Strand, London WC2R 2LS.
```*Modeling multiple M2-branes*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.045020.

```
Bagger, Jonathan, Lambert, Neil, & Department of Mathematics, King's College London, The Strand, London WC2R 2LS.
```*Modeling multiple M2-branes*. United States. doi:10.1103/PHYSREVD.75.045020.

```
Bagger, Jonathan, Lambert, Neil, and Department of Mathematics, King's College London, The Strand, London WC2R 2LS. Thu .
"Modeling multiple M2-branes". United States.
doi:10.1103/PHYSREVD.75.045020.
```

```
@article{osti_21011113,
```

title = {Modeling multiple M2-branes},

author = {Bagger, Jonathan and Lambert, Neil and Department of Mathematics, King's College London, The Strand, London WC2R 2LS},

abstractNote = {We investigate the worldvolume theory that describes N coincident M2-branes ending on an M5-brane. We argue that the fields that describe the transverse spacetime coordinates take values in a nonassociative algebra. We postulate a set of supersymmetry transformations and find that they close into a novel gauge symmetry. We propose a three-dimensional N=2 supersymmetric action to describe the truncation of the full theory to the scalar and spinor fields, and show how a Basu-Harvey fuzzy funnel arises as the Bogomol'nyi-Prasad-Sommerfield solution to this theory.},

doi = {10.1103/PHYSREVD.75.045020},

journal = {Physical Review. D, Particles Fields},

number = 4,

volume = 75,

place = {United States},

year = {Thu Feb 15 00:00:00 EST 2007},

month = {Thu Feb 15 00:00:00 EST 2007}

}

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