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The study investigates the implications of non-commutative phase-space on fermionic string theory.

July 9, 2026Acta Physica Polonica B0 citationsOpen Access

Non-commutative Phase-space Effects in Fermionic String Theory

Key Points

The study investigates the implications of non-commutative phase-space on fermionic string theory.
Analyzed free open fermionic strings within a non-commutative phase space framework.
Examined modifications to super-Virasoro algebras in Ramond and Neveu–Schwarz sectors.
Redefined Fock space to diagonalize the mass operator and impose constraints on parameters.
Non-commutativity anomalies are identified, leading to the breaking of Lorentz symmetry.
A non-diagonal mass operator is established, requiring redefinition of the Fock space.
Additional constraints on non-commutativity parameters successfully cancel anomalies and restore the standard spectrum.

Abstract

We study free open fermionic strings on a non-commutative phase-space. Modified super-Virasoro algebras in both the Ramond and Neveu–Schwarz sectors acquire non-commutativity anomalies, and this non-commtativity breaks also the 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. Abstract Published by the Jagiellonian University 2026 authors

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Abdelmoumene et al. (Tue,) studied this question.

synapsesocial.com/papers/6a4f3a122b81a944af5748ff https://doi.org/https://doi.org/10.5506/aphyspolb.57.7-a6

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