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

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

2011-05-13

arxiv.org/abs/1105.2809v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

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 $B^{eff}_{\mu\nu}$, the background field of the effective theory obtained on the solution of the boundary conditions, does not depend on the $\Omega$-even effective coordinate $q$, but on its T-dual $\tilde{q}$ which is $\Omega$-odd. This brakes the standard proof that the term with $B_{\mu\nu}^{eff}$ should vanish. From the world-sheet equations of motion we identify $B_{\mu\nu}^{eff}$ with the torsion potential.

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