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Tadpole Resummations in String Theory · Around

2008

Tadpole Resummations in String Theory

Kitazawa, Noriaki

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While R-R tadpoles should be canceled for consistency, string models with broken supersymmetry generally have uncanceled NS-NS tadpoles.

Their presence signals that the background does not solve the field equations, so that these models are in "wrong" vacua.
In this letter we investigate, with reference to some prototype examples, whether the true values of physical quantities can be recovered resumming the NS-NS tadpoles, hence by an approach that is related to the analysis based on String Field Theory by open-closed duality.
We show that, indeed, the positive classical vacuum energy of a Dp-brane of the bosonic string is exactly canceled by the negative contribution arising from tree-level tadpole resummation, in complete agreement with Sen's conjecture on open-string tachyon condensation and with the consequent analysis based on String Field Theory.

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A. Sagnotti, in Cargese ’87, “Non-Perturbative Quantum Field Theory”, eds. G. Mack et al (Pergamon Press, 1988), p. 521, arXiv:hep-th/0208020; G. Pradisi and A. Sagnotti, Phys. Lett. B 216
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