Bootstrapping 4d $$ \mathcal{N} $$ = 2 gauge theories: the case of SQCD

Chester, Shai M.

doi:10.1007/jhep01(2023)107

Cited by 12 publications

(6 citation statements)

References 54 publications

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“…However, it is not clear which theories are relevant to this possibility. But as mentioned in [21], 4D N = 2 superconformal QCD with gauge group SU (2), N f = 4 may deserve further study [59].…”

Section: Discussionmentioning

confidence: 91%

Superconformal blocks for stress-tensor and chiral operators for 4D $${\mathcal {N}}=2$$ superconformal field theories

Rakshit,

Mukhopadhyay

2024

Eur. Phys. J. C

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We have computed the superconformal partial wave for the mixed correlators involving J, $$\phi $$ ϕ , and $$\phi ^\dagger $$ ϕ † , where J is the superconformal primary of 4D $${{\mathcal {N}}} = 2$$ N = 2 stress-tensor multiplet, $$\phi $$ ϕ , and $$\phi ^\dagger $$ ϕ † are chiral and anti-chiral scalars, respectively in the channel $$\langle {J J}\phi \phi ^{\dagger }\rangle $$ ⟨ JJ ϕ ϕ † ⟩ . We have used the superembedding formalism and computed the conformal partial wave corresponding to the exchange of long multiplet using the supershadow approach. This study provides part of the ingredients necessary for the study of conformal bootstrap for mixed correlator in 4D $${{\mathcal {N}}} = 2$$ N = 2 superconformal field theories.

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Section: Discussionmentioning

confidence: 91%

Superconformal blocks for stress-tensor and chiral operators for 4D $${\mathcal {N}}=2$$ superconformal field theories

Rakshit,

Mukhopadhyay

2024

Eur. Phys. J. C

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“…In this appendix we will give the details of how to apply the localisation constraints of [26,55] to the correlator for the G F = SO(8) theory. Of the three localisation constraints considered in [26,55], only one applies to the flavour structures we consider in (2.7), and this constraint takes the form…”

Section: Localisation Constraintsmentioning

confidence: 99%

The AdS Veneziano amplitude at small curvature

Alday,

Chester,

Hansen

et al. 2024

J. High Energ. Phys.

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We compute the AdS Veneziano amplitude for type IIB gluon scattering in AdS5 × S3 to all orders in α′ in a small curvature expansion. This is achieved by combining a dispersion relation in the dual 4d$$ \mathcal{N} $$ N = 2 SCFT with an ansatz for the amplitude as a worldsheet integral in terms of multiple polylogarithms. The first curvature correction is fully fixed in this way and satisfies consistency checks in the high energy limit, the low energy expansion as previously fixed using supersymmetric localisation, and for the energy of massive string operators, which we independently compute using a semiclassical expansion. We also combine localisation with this first curvature correction to fix the unprotected D4F4 correction to the amplitude at finite curvature.

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“…This might pave the way to provide a check of holography in the Higgs branch. Conceptually this ought to be straightforward, as the relations found in [3] apply to any N = 2 SCFT.…”

Section: Jhep07(2023)100mentioning

confidence: 99%

“…conformal and/or supersymmetry -and for selected operators, there are additional tools that greatly enhance our ability to determine these n-point functions. Recently, an intermediate scenario has been uncovered [1][2][3]: in theories with extended supersymmetry, some n-point functions currently defy full evaluation, but when integrated against carefully chosen measures, the resulting integrated version can be tackled with powerful methods. The main aim of this work is to evaluate the planar limit of some of those integrated n-point functions, applying an approach developed for other questions of N = 2 theories.…”

Section: Introductionmentioning

confidence: 99%

“…Specifically, certain integrated 4-point functions of N = 4 SYM chiral primaries are related to the free energy on S 4 of a massive deformation of N = 4 SYM, N = 2 * , further deformed by chiral multiplets [1,2]. More generally, integrated 4-point functions of moment map operators of N = 2 SCFTs are related to the free energy of the massive theory [3]. Comparatively, these 4-point functions have been much less studied than those of N = 2 chiral primary operators.…”

Section: Introductionmentioning

confidence: 99%

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The planar limit of integrated 4-point functions

Fiol

Ziwen

2023

J. High Energ. Phys.

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We study the planar limit of integrated 4-point functions of moment map operators of 𝒩 = 2 SU(N) SQCD. We do so by considering the planar free energy on S4 of the massive deformation of this theory, and taking advantage of the exact relation between this free energy and the integrated 4-point function. For this planar free energy we derive all the terms with maximal and next-to-maximal transcendentality, and present a procedure to compute terms of lower transcendentality. We also derive the first non-planar corrections, as all order series in the ’t Hooft coupling, and to all orders in transcendentality. Finally, we also apply our approach to the better studied example of 𝒩 = 4 SU(N) SYM integrated 4-point functions, and reproduce their known planar limit.

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Bootstrapping 4d $$ \mathcal{N} $$ = 2 gauge theories: the case of SQCD

Cited by 12 publications

References 54 publications

Superconformal blocks for stress-tensor and chiral operators for 4D $${\mathcal {N}}=2$$ superconformal field theories

Superconformal blocks for stress-tensor and chiral operators for 4D $${\mathcal {N}}=2$$ superconformal field theories

The AdS Veneziano amplitude at small curvature

The planar limit of integrated 4-point functions

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