On Noncommutativity in String Theory and D-Branes
Masud Chaichian, Dimitri Polyakov
TL;DR
This paper investigates how non-perturbative effects and background interactions lead to gauge symmetry breaking in B-fields within string theory, impacting the construction of non-commutative models and proposing D-brane configurations for restoration.
Contribution
It reveals the breaking of B-field gauge symmetry due to non-perturbative couplings and proposes a method to restore gauge invariance using D-brane configurations.
Findings
B-field gauge symmetry is broken in RR backgrounds.
Non-commutative models with constant B-field are inconsistent.
External D-brane configurations can restore gauge invariance.
Abstract
By considering the B-field dynamical and studying its interaction with Ramond-Ramond (RR) background we observe the breaking of the B-field gauge symmetry in the effective action. This effect takes place due to non-perturbative coupling of the B-field to membrane topological charge. As a result, the B-field is renormalized in the RR backgrounds, making it impossible to obtain consistent non-commutative models with constant B-field. We argue that the gauge invariance is restored by introducing appropriate external D-brane configuration.
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