# Supercoset space geometry

## Abstract

Supercoset spaces play an important role in the formulation of supersymmetric theories. The aim of this paper is to review and discuss the geometry of supercoset spaces with particular focus on the way the geometrical structures of the supercoset space G/H are inherited from the super-Lie group G. The isometries of the supercoset space are discussed and a definition of Killing supervectors--the supervectors associated with infinitesimal isometries--is given that can be easily extended to spaces other than coset spaces.

- Authors:

- Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA (United Kingdom)

- Publication Date:

- OSTI Identifier:
- 20929722

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 5; Other Information: DOI: 10.1063/1.2735814; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GEOMETRY; LIE GROUPS; MATHEMATICAL SPACE; QUANTUM FIELD THEORY; STRING MODELS; STRING THEORY; SUPERSYMMETRY

### Citation Formats

```
Kleppe, A. F., and Wainwright, Chris.
```*Supercoset space geometry*. United States: N. p., 2007.
Web. doi:10.1063/1.2735814.

```
Kleppe, A. F., & Wainwright, Chris.
```*Supercoset space geometry*. United States. doi:10.1063/1.2735814.

```
Kleppe, A. F., and Wainwright, Chris. Tue .
"Supercoset space geometry". United States.
doi:10.1063/1.2735814.
```

```
@article{osti_20929722,
```

title = {Supercoset space geometry},

author = {Kleppe, A. F. and Wainwright, Chris},

abstractNote = {Supercoset spaces play an important role in the formulation of supersymmetric theories. The aim of this paper is to review and discuss the geometry of supercoset spaces with particular focus on the way the geometrical structures of the supercoset space G/H are inherited from the super-Lie group G. The isometries of the supercoset space are discussed and a definition of Killing supervectors--the supervectors associated with infinitesimal isometries--is given that can be easily extended to spaces other than coset spaces.},

doi = {10.1063/1.2735814},

journal = {Journal of Mathematical Physics},

number = 5,

volume = 48,

place = {United States},

year = {Tue May 15 00:00:00 EDT 2007},

month = {Tue May 15 00:00:00 EDT 2007}

}

DOI: 10.1063/1.2735814

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.