Open fermionic string theory in a non commutative target phase-space
- URL: http://arxiv.org/abs/2307.07060v2
- Date: Fri, 21 Jul 2023 10:08:44 GMT
- Title: Open fermionic string theory in a non commutative target phase-space
- Authors: Mohamed Adib Abdelmoumene, Nadir Belaloui
- Abstract summary: We investigate an open fermionic string theory in a non-commutative target phase space.
Modified super-Virasoro algebras are obtained in the Ramond and Neuveu-Schwarz sectors.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate an open fermionic string theory in a non-commutative target
phase space as well as for the space part and the momentum part. The modified
commutation relations in terms of oscillating modes are derived. Modified
super-Virasoro algebras are obtained in the Ramond and Neuveu-Schwarz sectors
where new anomaly terms appears. The non-commutativity affect the Lorentz
covariance and the mass operator is no more diagonal in the usual Fock space. A
redefinition of the Fock space is proposed to diagonalize the non-commutativity
parameters matrices to obtain a diagonalized mass operator. Some restrictions
on the non commutativity parameters are imposed to eliminate the Virasoro
algerbra anomaly terms due to the non-commutativity, where at the same time the
usual mass spectrum is obtained. The GSO projection is now possible where a
space time supersymmetry is obtained. More restrictions on the
non-commutativity parameters zero modes are imposed and the Lorentz covariance
is restored.
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