Eur. Phys. J. C (2015) 75: 347
https://doi.org/10.1140/epjc/s10052-015-3570-y

Regular Article - Theoretical Physics

Noncommutative Sugawara construction

Department of Physics, Shahid Beheshti University, G.C., Evin, Tehran, 19839, Iran

^* e-mail: m_ghasemkhani@sbu.ac.ir

Received: 5 April 2015
Accepted: 15 July 2015
Published online: 28 July 2015

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.