Coherent State Construction of Representations of osp(2|2) and Primary Fields of osp(2|2) Conformal Field Theory

2003/12/31 by Yao-Zhong Zhang · 1 citation
Physics and Astronomy · Mathematics · #hep-th #cond-mat.dis-nn #math-ph #math.MP

paper · pdf · doi:10.1016/j.physleta.2004.05.017

published as Phys.Lett. A327 (2004) 442-451 · 12 pages, cosmetic changes, to appear in Phys. Lett. A

arxiv created 2004/05/08 · arxiv updated 2009/12/01

Abstract

Representations of the superalgebra osp(2|2) and current superalgebra osp(2|2)⁽¹⁾_k in the standard basis are investigated. All finite-dimensional typical and atypical representations of osp(2|2) are constructed by the vector coherent state method. Primary fields of the non-unitary conformal field theory associated with osp(2|2)⁽¹⁾_k in the standard basis are constructed for arbitrary level k.

Cited by

• Scale separation on AdS₃× S³ with and without supersymmetry