Extended Nonabelian Symmetries for Free Fermionic Model
Raiko P. Zaikov
TL;DR
This paper explores higher spin symmetries in free fermionic models, deriving an infinite Lie algebra extension of Virasoro and Kac-Moody algebras, and discusses gauging procedures for these symmetries.
Contribution
It introduces a new infinite Lie algebra realization for higher spin symmetries in free fermionic models and details the gauging process for these symmetries.
Findings
Derived an infinite Lie algebra extension of Virasoro and Kac-Moody algebras.
Established a closed current algebra unlike the WZNW model.
Provided a gauging procedure for higher spin symmetries.
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Black Holes and Theoretical Physics · Nonlinear Waves and Solitons