English

Constrained current algebras and $g/u(1)^d$ conformal field theories

High Energy Physics - Theory 2016-09-06 v1

Abstract

Operator quantization of the WZNW theory invariant with respect to an affine Kac-Moody algebra g^\hat g with constrained u^(1)d\hat {u}(1)^d currents is performed using Dirac's procedure. Upon quantization the initial energy-momentum tensor is replaced by the g/u(1)dg/u(1)^d coset construction. The su^(2)\hat {su}(2) WZNW theory with a constrained u^(1)\hat u(1) current is equivalent to the su(2)/u(1)su(2)/u(1) conformal field theory.

Keywords

Cite

@article{arxiv.hep-th/9710036,
  title  = {Constrained current algebras and $g/u(1)^d$ conformal field theories},
  author = {A. V. Bratchikov},
  journal= {arXiv preprint arXiv:hep-th/9710036},
  year   = {2016}
}

Comments

6 pages,Latex