Non-Commutative Phase-Space Effects in Fermionic String Theory

• URL: http://arxiv.org/abs/2307.07060v5
• Date: Fri, 25 Jul 2025 20:01:42 GMT
• Title: Non-Commutative Phase-Space Effects in Fermionic String Theory
• Authors: Mohamed Adib Abdelmoumene, Nadir Belaloui,
• Abstract summary: We study a free open fermionic string theory within a non-commutative target phase-space.<n>We derive modified super-Virasoro algebras for both the Ramond and Neveu-Schwarz sectors.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study a free open fermionic string theory within a non-commutative target phase-space, considering non-commutativity in both the spatial and momentum components. The altered commutation relations are expressed in terms of mode oscillators. We derive modified super-Virasoro algebras for both the Ramond and Neveu-Schwarz sectors, which include new anomaly terms arising from non-commutativity. This non-commutativity breaks Lorentz covariance and leads to a non-diagonal mass operator in the conventional Fock space. To address this, we propose a redefinition of the Fock space that diagonalizes the matrices of non-commutativity parameters, thereby yielding a diagonal mass operator. To eliminate the anomalies in the Virasoro algebra caused by non-commutativity and recover the standard mass spectrum, certain constraints are imposed on the non-commutativity parameters. Under these conditions, the GSO projection becomes viable, allowing for the emergence of space-time supersymmetry. Additional constraints on the zero modes of the non-commutativity parameters are introduced to restore Lorentz covariance.

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