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arXiv · 2307.07060

Non-Commutative Phase-Space Effects in Fermionic String Theory

Mohamed Adib Abdelmoumene·Nadir Belaloui
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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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Mohamed Adib Abdelmoumene, Nadir Belaloui. 2023-07-13. Non-Commutative Phase-Space Effects in Fermionic String Theory. https://arxiv.org/abs/2307.07060

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