2013/06/30 by Shogo Aoyama, Katsuyuki Ishii
Mathematics · Physics and Astronomy · #Algebra over a field #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Conformal map #Consistency (knowledge bases) #Geometry #Mathematical physics #Mathematics #Momentum (technical analysis) #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Tensor (intrinsic definition) #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2013.08.019
published as Nucl. Phys. B876(2013)715-729 · 15 pages, v2: improvement in sec. 6, typos corrected, published
openalex publication_date 2013/09/02 · arxiv created 2014/05/23 · arxiv updated 2015/06/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Consistently constrained WZWN models on G/S x U(1)n is given by constraining currents of the WZWN models with G. Poisson brackets are set up on the light-like plane. Using them we show the Virasoro algebra for the energy-momentum tensor of constrained WZWN models. We find a G-primary which satisfies a classical exchange algebra in an arbitrary representation of G. The G-primary and the constrained currents are also shown to obey the conformal transformation with respect to the energy-momentum tensor. It is checked that conformal weight of the constrained currents is 0. This is necessary for the consistency for our formulation of constrained WZWN models.