Worldsheet Descriptions of Wrapped NS Five-Branes

Anton Kapustin; Kentaro Hori

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Worldsheet Descriptions of Wrapped NS Five-Branes

Kentaro Hori, Anton Kapustin

High Energy Physics - Theory · Submitted 15 Mar 2002

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

The authors' main claim Applying mirror symmetry, we show that the low-energy theory of NS5-branes wrapped on CP^1 in Eguchi-Hanson space is described by the Seiberg-Witten prepotential for N=2 super-Yang-Mills, with the gauge group given by the ADE-type of the five-brane.

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.57 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.34 · mentions code or data availability 0.01.

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We provide a world-sheet description of Neveu-Schwarz five-branes wrapped on a complex projective space. It is an orbifold of the product of an N=2 minimal model and the IR fixed point of a certain linear sigma model. We show how the naked singularity in the supergravity description is resolved by the world-sheet CFT. Applying mirror symmetry, we show that the low-energy theory of NS5-branes wrapped on CP^1 in Eguchi-Hanson space is described by the Seiberg-Witten prepotential for N=2 super-Yang-Mills, with the gauge group given by the ADE-type of the five-brane. The world-sheet CFT is generically regular, but singularities develop precisely at the Argyres-Douglas points and massless monopole points of the space-time theory. We also study the low-energy theory of NS5-branes wrapped on CP^2 in a Calabi-Yau 3-fold and its relation to (2,2) super-Yang-Mills theory in two dimensions.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We provide a world-sheet description of Neveu-Schwarz five-branes wrapped on a complex projective space.	contribution 1.00	0.96	0.23	asserted 1.00
s1	It is an orbifold of the product of an N=2 minimal model and the IR fixed point of a certain linear sigma model.	contribution 0.45	0.75	0.12	asserted 1.00
s2	We show how the naked singularity in the supergravity description is resolved by the world-sheet CFT.	result 0.86	0.93	0.21	asserted 1.00
s3	Applying mirror symmetry, we show that the low-energy theory of NS5-branes wrapped on CP^1 in Eguchi-Hanson space is described by the Seiberg-Witten prepotential for N=2 super-Yang-Mills, with the gauge group given by the ADE-type of the five-brane.	result 0.92	0.92	0.39	asserted 1.00
s4	The world-sheet CFT is generically regular, but singularities develop precisely at the Argyres-Douglas points and massless monopole points of the space-time theory.	result 0.99	0.88	0.17	asserted 1.00
s5	We also study the low-energy theory of NS5-branes wrapped on CP^2 in a Calabi-Yau 3-fold and its relation to (2,2) super-Yang-Mills theory in two dimensions.	contribution 1.00	0.92	0.09	asserted 0.84

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The paper

Original abstract

We provide a world-sheet description of Neveu-Schwarz five-branes wrapped on a complex projective space. It is an orbifold of the product of an N=2 minimal model and the IR fixed point of a certain linear sigma model. We show how the naked singularity in the supergravity description is resolved by the world-sheet CFT. Applying mirror symmetry, we show that the low-energy theory of NS5-branes wrapped on CP^1 in Eguchi-Hanson space is described by the Seiberg-Witten prepotential for N=2 super-Yang-Mills, with the gauge group given by the ADE-type of the five-brane. The world-sheet CFT is generically regular, but singularities develop precisely at the Argyres-Douglas points and massless monopole points of the space-time theory. We also study the low-energy theory of NS5-branes wrapped on CP^2 in a Calabi-Yau 3-fold and its relation to (2,2) super-Yang-Mills theory in two dimensions.

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References

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

G-Structures and Wrapped NS5-Branes
hep-th 2002-05 accept novelty 7.0 of 10

Supersymmetric type II backgrounds with NS flux on R^{1,2} x M_7 are exactly equivalent to manifolds with a specific G_2 or SU(3) structure, which yields a new construction method and a compact-manifold vanishing theorem.
Classification of Argyres-Douglas theories from M5 branes
hep-th 2015-09 conditional novelty 6.0 of 10

By classifying irregular punctures of ADE-type (2,0) theories on a sphere, the authors construct a large family of new 4d Argyres-Douglas theories and map them to isolated three-fold singularities.
Towards the String Dual of N=1 SQCD-like Theories
hep-th 2006-02 conditional novelty 6.0 of 10

Smeared flavor D5-branes are added to the Maldacena-Nunez background, producing a family of type IIB solutions whose BPS equations depend on Nf/Nc and which the authors argue describe N=1 SQCD with a quartic superpotential.
Non-critical holography and four-dimensional CFT's with fundamentals
hep-th 2005-05 conditional novelty 6.0 of 10

A one-parameter family of AdS5 x squashed-S3 non-critical string solutions is found, with a single member admitting a simple superpotential and a flow to the KKL4 vacuum, conjectured to be the N=1 superconformal case.
Superstrings with Intrinsic Torsion
hep-th 2003-02 accept novelty 6.0 of 10

A case-by-case classification of static supersymmetric NS-NS string backgrounds in terms of G-structures and intrinsic torsion, adding new d=8, d=9 and d=6 geometries to the known list.

Show 1 more citing papers

Unquenched flavor in the gauge/gravity correspondence
hep-th 2010-02 conditional novelty 4.0 of 10

Smeared flavor D-branes can be backreacted onto type II supergravity backgrounds, yielding tractable duals of gauge theories with dynamical fundamentals, at the price of a small flavor-loop expansion parameter.

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12 arXiv papers cite this in 21 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

Papers citing it · 9 sentences without a confident label

Compares with it 3 papers

These configurations probably cannot be realized in string theory for $n>3$, but the GLSMs are sensible nonetheless.[Even $n=3$ is subtle to interpret, since this corresponds to Euclidean NS5-branes wrapping a $^3$.] A similar situation also arose in [ref] .

Novel Branches of (0,2) Theories · Non-compact conformal models · 0.89
These configurations probably cannot be realized in string theory for $n>3$, but the GLSMs are sensible nonetheless.[Even $n=3$ is subtle to interpret, since this corresponds to Euclidean NS5-branes wrapping a $^3$.] A similar situation also arose in [ref] .

Heterotic Flux Geometry from Chiral Gauge Dynamics · Non-compact conformal models · 0.95
These are similar to the manifolds described in [ref] , but again the details are slightly different.

Squashed toric sigma models and mock modular forms · The squashing deformation · 0.99

Cites it as background 7 papers

This limiting procedure from $S^2n-1$ to $CP^n-1$ corresponds to the “Hopf reduction" [ref] which has been studied widely [ref] relating to T-duality in [ref] , to noncompact spaces in [ref] and to the noncommutative spaces in [ref] .

Projective Coordinates and Projective Space Limit · Introduction · 0.81
A part of the former is obtained from the following representations of $SL(2,𝐑)$ as the Kac-Moody primaries [ref] [ref] * $𝒟_j^+$: principal discrete representation with lowest weight (i.e. $j^3 ≡m = j , j+1 ,j+2 ⋯$) of spin $j$, where $1/2 < j < k+1/2$ . * $𝒟_j^-$: principal discrete representation with highest weight (i.e. $j^3 ≡m = -j , -j-1 ,-j-2 ⋯$) of spin $j$, where $1/2 < j < k+1/2$ . * $𝒞^α_j$: principal continuous representations with $j=1/2+ ip$ , $p∈𝐑_≥0$ and $0 ≤α< 1$ ($j^3≡m = α, α±1, α±2 ⋯$).

Non-compact Mirror Bundles and (0,2) Liouville Theories · $𝒩=2$ $SL(2,𝐑)/U(1)$ coset model · 0.87
In the physics literature, this has been reformulated using a gauged linear sigma model [ref] .

Non-compact Gepner Models, Landau-Ginzburg Orbifolds and Mirror Symmetry · Introduction · 0.89

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