# Free field realization of current superalgebra gl(m vertical bar n){sub k}

## Abstract

We construct the free field representation of the affine currents, energy-momentum tensor, and screening currents of the first kind of the current superalgebra gl(m vertical bar n){sub k} uniformly for m=n and m{ne}n. The energy-momentum tensor is given by a linear combination of two Sugawara tensors associated with the two independent quadratic Casimir elements of gl(m vertical bar n)

- Authors:

- Institute of Modern Physics, Northwest University, Xian 710069 (China) and Department of Mathematics, University of Queensland, Brisbane, Queensland 4072 (Australia)
- (Australia) and Condensed Matter Theory Laboratory, RIKEN, Wako, Saitama 351-0198 (Japan)
- (Australia)

- Publication Date:

- OSTI Identifier:
- 20929723

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 48; Journal Issue: 5; Other Information: DOI: 10.1063/1.2739306; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; CASIMIR EFFECT; CONFORMAL INVARIANCE; ENERGY-MOMENTUM TENSOR; QUANTUM FIELD THEORY

### Citation Formats

```
Yang Wenli, Zhang Yaozhong, Liu Xin, Department of Mathematics, University of Queensland, Brisbane, Queensland 4072, and Department of Mathematics, University of Queensland, Brisbane, Queensland 4072.
```*Free field realization of current superalgebra gl(m vertical bar n){sub k}*. United States: N. p., 2007.
Web. doi:10.1063/1.2739306.

```
Yang Wenli, Zhang Yaozhong, Liu Xin, Department of Mathematics, University of Queensland, Brisbane, Queensland 4072, & Department of Mathematics, University of Queensland, Brisbane, Queensland 4072.
```*Free field realization of current superalgebra gl(m vertical bar n){sub k}*. United States. doi:10.1063/1.2739306.

```
Yang Wenli, Zhang Yaozhong, Liu Xin, Department of Mathematics, University of Queensland, Brisbane, Queensland 4072, and Department of Mathematics, University of Queensland, Brisbane, Queensland 4072. Tue .
"Free field realization of current superalgebra gl(m vertical bar n){sub k}". United States.
doi:10.1063/1.2739306.
```

```
@article{osti_20929723,
```

title = {Free field realization of current superalgebra gl(m vertical bar n){sub k}},

author = {Yang Wenli and Zhang Yaozhong and Liu Xin and Department of Mathematics, University of Queensland, Brisbane, Queensland 4072 and Department of Mathematics, University of Queensland, Brisbane, Queensland 4072},

abstractNote = {We construct the free field representation of the affine currents, energy-momentum tensor, and screening currents of the first kind of the current superalgebra gl(m vertical bar n){sub k} uniformly for m=n and m{ne}n. The energy-momentum tensor is given by a linear combination of two Sugawara tensors associated with the two independent quadratic Casimir elements of gl(m vertical bar n)},

doi = {10.1063/1.2739306},

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: 10.1063/1.2739306

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