David Tong JHEP07(2002)013 doi:10.1088/1126-6708/2002/07/013
NS5-Branes, T-Duality and Worldsheet Instantons
David Tong1
Show affiliationsThe 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 
= (4, 4) gauged linear sigma model describing Taub-NUT space. After dualizing the S1 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.
- Keywords
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Solitons Monopoles and Instantons
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E-print Number: hep-th/0204186
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- Dates
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Issue 07 (July 2002)
Received 11 June 2002, accepted for publication 4 July 2002
Published 19 July 2002
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NS5-Branes, T-Duality and Worldsheet Instantons
David Tong JHEP07(2002)013
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