T-dual-coordinate dependence makes the effective Kalb-Ramond field nontrivial

2011/05/13 by Davidović, Lj., Sazdović, B.
#FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1105.2809

Abstract

We show that the fact that the string theory is unoriented does not necessarily force the Kalb-Ramond field to vanish. We investigated the theory of the open string propagating in the weakly curved background. The effective Kalb-Ramond field B^eff_μν, the background field of the effective theory obtained on the solution of the boundary conditions, does not depend on the Ω-even effective coordinate q, but on its T-dual q which is Ω-odd. This brakes the standard proof that the term with B_μν^eff should vanish. From the world-sheet equations of motion we identify B_μν^eff with the torsion potential.

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