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      NS5-Branes, T-Duality and Worldsheet Instantons

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          Abstract

          The equivalence of NS5-branes and ALF spaces under T-duality is well known. However, a naive application of T-duality transforms the ALF space into a smeared NS5-brane, de-localized on the dual, transverse, circle. In this paper we re-examine this duality, starting from a two-dimensional N=(4,4) gauged linear sigma model describing Taub-NUT space. After dualizing the circle fiber, we find that the smeared NS5-brane target space metric receives corrections from multi-worldsheet instantons. These instantons are identified as Nielsen-Olesen vortices. We show that their effect is to break the isometry of the target space, localizing the NS5-brane at a point. The contribution from the k-instanton sector is shown to be proportional to the weighted integral of the Euler form over the k-vortex moduli space. The duality also predicts the, previously unknown, asymptotic exponential decay coefficient of the BPS vortex solution.

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          Computation of the quantum effects due to a four-dimensional pseudoparticle

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            Vortex-line models for dual strings

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              Classical vortex solution of the Abelian Higgs model

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                Author and article information

                Journal
                2002-04-23
                2003-06-30
                Article
                10.1088/1126-6708/2002/07/013
                hep-th/0204186
                9bb1ffc9-360c-4aa9-97ba-adeeda2e1bcb
                History
                Custom metadata
                JHEP 0207 (2002) 013
                26 pages. v2: Fourier modes of multi-vortex fermion zero mode corrected. Reference added. v3: typo corrected
                hep-th

                High energy & Particle physics
                High energy & Particle physics

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