Non-Commutative Phase-Space Effects in Fermionic String Theory
High Energy Physics - Theory
2026-03-11 v6 Quantum Physics
Abstract
We study free open fermionic strings on a non-commutative phase space. Modified super-Virasoro algebras in both Ramond and Neveu-Schwarz sectors acquire non-commutativity anomalies, and this noncommutativity also breaks Lorentz symmetry and give a non-diagonal mass operator. Redefining the Fock space diagonalizes the mass operator. Extra constraints on non-commutativity parameters cancel the anomalies, restore the standard spectrum and make the GSO projection possible.
Cite
@article{arxiv.2307.07060,
title = {Non-Commutative Phase-Space Effects in Fermionic String Theory},
author = {Mohamed Adib Abdelmoumene and Nadir Belaloui},
journal= {arXiv preprint arXiv:2307.07060},
year = {2026}
}
Comments
Corrections through the manuscript and added two new annexes. Abstract has been updated