Noncommutative Sugawara Construction

TL;DR

This paper extends the Sugawara construction to noncommutative geometry for massless fermions in two dimensions, demonstrating the persistence of energy-momentum tensor equivalence and discussing related physical implications.

Contribution

It provides the first noncommutative extension of the Sugawara construction and proves the equivalence of energy-momentum tensors in this new setting.

Findings

Noncommutative Sugawara energy-momentum tensor is equivalent to symmetric tensor.

The equivalence persists in the noncommutative extension.

Physical implications of this equivalence are discussed.

Abstract

The noncommutative extension of the Sugawara construction for free massless fermionic fields in two dimensions is studied. We prove that the equivalence of the noncommutative Sugawara energy-momentum tensor and symmetric energy-momentum tensor persists in the noncommutative extension. Some relevant physical results of this equivalence are also discussed.