Fermionic realization of twisted toroidal Lie algebras

Abstract

In this paper, we construct a fermionic realization of the twisted toroidal Lie algebra of type $A_{2n-1},D_{n+1},A_{2n}$ and $D_4$ based on the newly found Moody-Rao-Yokonuma-like presentation.

22 pages. Final version. Proof of the MRY presentation upgrades that of arXiv:1605.05300

References in corpus (2)

• Fermionic realization of toroidal Lie algebras of classical types
• On realization of some twisted toroidal Lie algebras

Cited by in corpus (1)

• Bosonic free field realization of twisted 2-toroidal Lie algebras