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

TL;DR

This paper demonstrates that deformed Virasoro and super Virasoro algebras naturally arise in discrete-time free field models on a circle after Wick rotation, linking algebraic deformations to discrete-time parameters.

Contribution

It provides an exact derivation of algebraic deformations from discrete-time free field models, connecting abstract mathematical deformations to physical models.

Findings

Deformations emerge after Wick rotation in discrete-time models.

Deformation parameter relates to discrete-time scale and circle radius.

Exact treatment links algebraic structures to physical discretization.

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.