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Extended Nonabelian Symmetries for Free Fermionic Model

1993/08/05 by R. P. Zaikov, Raiko P. Zaikov, Zaikov, Raiko P.
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9308016

19 pages, HarvmacTeX, report IC/93/237

arxiv created 1993/08/05 · openalex publication_date 1993/08/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The higher spin symmetry for both Dirac and Majorana massless free fermionic field models are considered. An infinite Lie algebra which is a linear realization of the higher spin extension of the cross products of the Virasoro and affine Kac-Moody algebras is obtained. The corresponding current algebra is closed which is not the case of annalogous current algebra in the WZNW model. The gauging procedure for the higher spin symmetry is given also.

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