6533b7cffe1ef96bd12583a9
RESEARCH PRODUCT
Kac-Moody group representations and generalization of the Sugawara construction of the Virasoro algebra
José Navarro-salasVictor Aldayasubject
Quantum affine algebraPure mathematicsSemidirect productCurrent algebraStatistical and Nonlinear PhysicsUniversal enveloping algebraGroup algebraN = 2 superconformal algebraAlgebraHigh Energy Physics::TheoryMathematics::Quantum AlgebraAlgebra representationVirasoro algebraMathematics::Representation TheoryMathematical PhysicsMathematicsdescription
We discuss the dynamical structure of the semidirect product of the Virasoro and affine Kac-Moody groups within the framework of a group quantization formalism. This formalism provides a realization of the Virasoro algebra acting on Kac-Moody Fock states which generalizes the Sugawara construction. We also give an explicit construction of the standard Kac-Moody group representations associated with strings on SU(2) and recover, in particular, the ‘renormalization’ β factor of L(z)
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1988-08-01 | Letters in Mathematical Physics |