A Twisted Quantum Toroidal Algebra
Naihuan Jing, Rongjia Liu
TL;DR
This paper introduces a new twisted quantum toroidal algebra of type A_1, providing explicit constructions using twisted quantum vertex operators over a Fock space, expanding the algebraic framework in quantum algebra.
Contribution
It presents the first explicit realization of a twisted quantum toroidal algebra of type A_1 using twisted quantum vertex operators.
Findings
Explicit algebraic realization constructed
Extension of quantum TKK algebra framework
Potential applications in quantum algebra and mathematical physics
Abstract
As an analog of the quantum TKK algebra, a twisted quantum toroidal algebra of type A_1 is introduced. Explicit realization of the new quantum TKK algebra is constructed with the help of twisted quantum vertex operators over a Fock space.
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