Exact results in D = 2 supersymmetric gauge theories

Doroud, Nima; Gomis, Joaquim; Floch, Bruno Le; Lee, Sungjay

doi:10.1007/jhep05(2013)093

Cited by 259 publications

(711 citation statements)

References 56 publications

(180 reference statements)

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“…From the D1-branes perspective, the theory describing the D1-D5 brane system on the resolved space is a gauged linear sigma model (GLSM) on the blown-up two-sphere describing the corresponding open string sectors with a superpotential interaction which imposes the ADHM constraints. The S 2 partition function of supersymmetric GLSMs can be exactly computed by equivariant localization on the twosphere along the general analysis proposed in [10,11]. We will specify their analysis to our case to compute the partition function of the D1-D5 system.…”

Section: Jhep01(2014)038mentioning

confidence: 99%

“…The computation of the partition function of the gauged linear sigma model on the two-sphere can be performed via equivariant localization [10,11]. Here we follow the notation of [10].…”

Section: Adhm Gauged Linear Sigma Model From the D1-d5 Systemmentioning

confidence: 99%

“…The master formula for the partition function on S 2 in terms of a contour integral was obtained from this setting in [10] and from a similar one in [11]. We apply it to our specific model.…”

Section: Adhm Gauged Linear Sigma Model From the D1-d5 Systemmentioning

confidence: 99%

“…In [10,11] the ζ-function renormalization scheme is chosen. Indeed this is a reference one, while others can be obtained by a shift in the finite part of the resulting effective action.…”

Section: Jhep01(2014)038mentioning

confidence: 99%

“…This was originally computed in [13] and recently discussed in the context of AGT correspondence in [11,[14][15][16].…”

Section: Jhep01(2014)038mentioning

confidence: 99%

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The stringy instanton partition function

Bonelli

Sciarappa

Tanzini

et al. 2014

J. High Energ. Phys.

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Abstract:We perform an exact computation of the gauged linear sigma model associated to a D1-D5 brane system on a resolved A 1 singularity. This is accomplished via supersymmetric localization on the blown-up two-sphere. We show that in the blow-down limit C 2 /Z 2 the partition function reduces to the Nekrasov partition function evaluating the equivariant volume of the instanton moduli space. For finite radius we obtain a tower of world-sheet instanton corrections, that we identify with the equivariant Gromov-Witten invariants of the ADHM moduli space. We show that these corrections can be encoded in a deformation of the Seiberg-Witten prepotential. From the mathematical viewpoint, the D1-D5 system under study displays a twofold nature: the D1-branes viewpoint captures the equivariant quantum cohomology of the ADHM instanton moduli space in the Givental formalism, and the D5-branes viewpoint is related to higher rank equivariant Donaldson-Thomas invariants of P 1 × C 2 .

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Section: Jhep01(2014)038mentioning

confidence: 99%

“…The computation of the partition function of the gauged linear sigma model on the two-sphere can be performed via equivariant localization [10,11]. Here we follow the notation of [10].…”

Section: Adhm Gauged Linear Sigma Model From the D1-d5 Systemmentioning

confidence: 99%

Section: Adhm Gauged Linear Sigma Model From the D1-d5 Systemmentioning

confidence: 99%

“…In [10,11] the ζ-function renormalization scheme is chosen. Indeed this is a reference one, while others can be obtained by a shift in the finite part of the resulting effective action.…”

Section: Jhep01(2014)038mentioning

confidence: 99%

“…This was originally computed in [13] and recently discussed in the context of AGT correspondence in [11,[14][15][16].…”

Section: Jhep01(2014)038mentioning

confidence: 99%

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The stringy instanton partition function

Bonelli

Sciarappa

Tanzini

et al. 2014

J. High Energ. Phys.

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Supersymmeric Gauge Theory on Curved 7‐Branes

Prins

2019

Fortschritte der Physik

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We construct novel 7d supersymmetric gauge theories which include a Chern‐Simons‐like term on curved spaces. In order to so, we examine the supersymmetry constraints for E7‐branes in type IIA* theory, rather than making use of an off‐shell supergravity. We find two classes of solutions to the constraints, expressed in terms of a G2‐structure with non‐vanishing intrinsic torsion. The supersymmetric gauge theories are then obtained by coupling flat gauge theory to such supersymmetric backgrounds. Various examples are given, including round and squashed S7 as well as S3×M4 with M4 hyperkähler.

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Localization for $$\mathcal {N}=2$$ Supersymmetric Gauge Theories in Four Dimensions

Pestun

2015

New Dualities of Supersymmetric Gauge Theories

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We review the supersymmetric localization of N = 2 theories on curved backgrounds in four dimensions using N = 2 supergravity and generalized conformal Killing spinors. We review some known backgrounds and give examples of new geometries such as local T 2 -bundle fibrations. We discuss in detail a topological foursphere with generic T 2 -invariant metric. This review is a contribution to the special volume on recent developments in N = 2 supersymmetric gauge theory and the 2d-4d relation.

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Exact results in D = 2 supersymmetric gauge theories

Cited by 259 publications

References 56 publications

The stringy instanton partition function

The stringy instanton partition function

Supersymmeric Gauge Theory on Curved 7‐Branes

Localization for $$\mathcal {N}=2$$ Supersymmetric Gauge Theories in Four Dimensions

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