NS5-Branes, T-Duality and Worldsheet Instantons

David Tong

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NS5-Branes, T-Duality and Worldsheet Instantons

David Tong

High Energy Physics - Theory · Submitted 23 Apr 2002

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that their effect is to break the isometry of the target space, localizing the NS5-brane at a point.

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arXiv listing abstract v3. Results and the main claim are underlined; show every role.

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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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The equivalence of NS5-branes and ALF spaces under T-duality is well known.	background 1.00	0.03	0.02	asserted 1.00
s1	However, a naive application of T-duality transforms the ALF space into a smeared NS5-brane, de-localized on the dual, transverse, circle.	background 0.80	0.06	0.04	asserted 1.00
s2	In this paper we re-examine this duality, starting from a two-dimensional N=(4,4) gauged linear sigma model describing Taub-NUT space.	method 0.82	0.71	0.04	asserted 0.92
s3	After dualizing the circle fiber, we find that the smeared NS5-brane target space metric receives corrections from multi-worldsheet instantons.	result 0.83	0.95	0.27	asserted 1.00
s4	These instantons are identified as Nielsen-Olesen vortices.	result 0.76	0.81	0.08	asserted 1.00
s5	We show that their effect is to break the isometry of the target space, localizing the NS5-brane at a point.	result 0.93	0.92	0.57	asserted 1.00
s6	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.	result 0.99	0.91	0.12	asserted 1.00
s7	The duality also predicts the, previously unknown, asymptotic exponential decay coefficient of the BPS vortex solution.	result 0.92	0.56	0.14	asserted 0.98

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Original 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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How the literature uses it

48 arXiv papers cite this in 68 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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Compares with it 2 papers

A similar breaking of a $U(1)$ isometry appears in the relation between localized NS5-branes on a circle and KK monopoles [ref] .

Torsional Heterotic Geometries · Quantum Exact Metrics · 0.85
This is reminiscent of the results found in [ref] .

Non-geometric backgrounds, doubled geometry and generalised T-duality · Compactifications with $R$-Flux · 0.97

Cites it as support 1 paper

Indeed, in [ref] it has been shown that instanton corrections coming from the 2d sigma-model describing the KK5 background, change the geometry such that field start depending on a winding mode.

T-duality and entanglement entropy for NS five-branes · Introduction · 0.98

Cites it as background 5 papers

Below, we summarize that calculation and the earlier NS5-brane calculation of [ref] .

The KK-Monopole/NS5-Brane in Doubled Geometry · Gauged linear sigma models and the doubled formalism · 0.86
A detailed review of these ideas can be found in [ref] and in references therein.

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See, for example, [ref] for details.

Instanton Counting, Quantum Geometry and Algebra · Cyclic quiver: $A_p-1$ · 0.95

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