NS5-Branes, T-Duality and Worldsheet Instantons

By David Tong. 2002

222 citations recorded by the source corpus.

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 = (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.

Subfields: Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/cfa39746e414dc7971a8219fef9a562d10a078ad

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

1. R. Dijkgraaf
2. C. Vafa
3. D. Thompson
4. David S. Berman
5. Lotte Hollands
6. A. Hanany
7. Marcos Mariño
8. P. Sułkowski

In Nuclear and High Energy Physics

1. C. Vafa
2. R. Dijkgraaf
3. D. Thompson
4. Marcos Mariño
5. P. Sułkowski
6. Lotte Hollands
7. Sergei Gukov
8. A. Hanany

In Statistical and Nonlinear Physics

1. C. Vafa
2. R. Dijkgraaf
3. D. Thompson
4. David S. Berman
5. Lotte Hollands
6. Marcos Mariño
7. P. Sułkowski
8. David Tong

Citations in the corpus

• Torsional Heterotic Geometries (2009, background): “A similar breaking of a U(1) isometry appears in the relation between localized NS5-branes on a circle and KK monopoles [56, 57].”
• Double Field Theory (2009, unknown): “Dependence on x̃ has been associated with world-sheet instanton effects [20], and a number of calculations have supported this view [21, 22, 23, 24].”
• Duality Symmetric String and M-Theory (2013, background): “19] of the gauged linear σ- modelwhichintheIRdescribesthe52 2 braneandtheconsiderationin[120]ofhowworld-sheet instantons correct the geometry in analogue with the known corrections to the KK monopole [121, 122, 123]. The construction of the NS5 brane and KK monopole in the T-duality symmetric double”
• Vortices, instantons and branes (2003, background): “π σ e−2σ +... (3.21) where λis a coefficient which parameterises the asymptotic return to vacuum of the Higgs field in the solution to (2.4). This coefficient is not known analytically but it was shown in [14] that T-duality between the AN singularity and fully localised NS5-branes requires a worldsheet ”
• Supersymmetric Gauge Theories, Intersecting Branes and Free Fermions (2007, background): “of the form uv= zN. (3.11) In the case of a single 5-brane N = 1 this gives an A 0 “singularity”. We recall that world-sheet instanton effects are important to understand this very non-trivial duality [25, 43, 44]. Applying this T-duality in the present set-up gives us a type IIB compactification of t”