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Title: 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:
; ;  [1];  [2];  [3]
  1. Institute of Modern Physics, Northwest University, Xian 710069 (China) and Department of Mathematics, University of Queensland, Brisbane, Queensland 4072 (Australia)
  2. (Australia) and Condensed Matter Theory Laboratory, RIKEN, Wako, Saitama 351-0198 (Japan)
  3. (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}
}