Discrete-Time Quantum Field Theory and the Deformed Super Virasoro Algebra

Abstract

We show that the deformations of Virasoro and super Virasoro algebra, constructed earlier on an abstract mathematical background, emerge after Wick rotation, within an exact treatment of discrete-time free field models on a circle. The deformation parameter is $e^{\lambda }$, where $\lambda =\tau /\rho$ is the ratio of the discrete-time scale $\tau$ and the radius $\rho$ of the compact space.

3 pages, latex, no figures

References in corpus (2)

• Deformed fields and Moyal construction of deformed super Virasoro algebra
• Beyond CFT : Deformed Virasoro and Elliptic Algebras

Cited by in corpus (2)

• A comment concerning cohomology and invariants of Lie algebras with respect to contractions and deformations
• Hom-Lie-Virasoro symmetries in Bloch electron systems and quantum plane in tight binding models