Non-Commutative Phase-Space Effects in Fermionic String Theory

2023/07/13 by Mohamed Adib Abdelmoumene, Abdelmoumene, Mohamed Adib, Belaloui, Nadir
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Particle physics theoretical and experimental studies #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.2307.07060

openalex publication_date 2023/07/13 · openalex created_date 2023/07/18 · openalex updated_date 2026/07/28

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.

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