Strong-coupling results for $$ \mathcal{N} $$ = 2 superconformal quivers and holography

Billó, Marco; Frau, M.; Galvagno, Francesco; Lerda, A.; Pini, Alessandro

doi:10.1007/jhep10(2021)161

Cited by 30 publications

(63 citation statements)

References 65 publications

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“…It would also be of interest to apply these ideas to study exact properties of two-point functions of BPS operators in N = 2 supersymmetric theories 10 at finite coupling and finite N , making use of the methods of supersymmetric localisation as, for example, in [44][45][46][47][48][49][50][51][52][53][54]. These two-point correlators are functions of complexified couplings τ and τ , which also transform properly under the modular transformation.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Exact expressions for n-point maximal U(1)Y-violating integrated correlators in SU(N) $$ \mathcal{N} $$ = 4 SYM

Dorigoni

Green

Wen

2021

J. High Energ. Phys.

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The exact expressions for integrated maximal U(1)Y violating (MUV) n-point correlators in SU(N) $$ \mathcal{N} $$ N = 4 supersymmetric Yang-Mills theory are determined. The analysis generalises previous results on the integrated correlator of four superconformal primaries and is based on supersymmetric localisation. The integrated correlators are functions of N and τ = θ/(2π) + 4πi/$$ {g}_{YM}^2 $$ g YM 2 , and are expressed as two-dimensional lattice sums that are modular forms with holomorphic and anti-holomorphic weights (w, −w) where w = n − 4. The correlators satisfy Laplace-difference equations that relate the SU(N+1), SU(N) and SU(N−1) expressions and generalise the equations previously found in the w = 0 case. The correlators can be expressed as infinite sums of Eisenstein modular forms of weight (w, −w). For any fixed value of N the perturbation expansion of this correlator is found to start at order ($$ {g}_{YM}^2 $$ g YM 2 N)w. The contributions of Yang-Mills instantons of charge k > 0 are of the form qkf(gYM), where q = e2πiτ and f(gYM) = O($$ {g}_{YM}^{-2w} $$ g YM − 2 w ) when $$ {g}_{YM}^2 $$ g YM 2 ≪ 1. Anti-instanton contributions have charge k < 0 and are of the form $$ {\overline{q}}^{\left|k\right|}\hat{f}\left({g}_{YM}\right) $$ q ¯ k f ̂ g YM , where $$ \hat{f}\left({g}_{YM}\right)=O\left({g}_{YM}^{2w}\right) $$ f ̂ g YM = O g YM 2 w when $$ {g}_{YM}^2 $$ g YM 2 ≪ 1. Properties of the large-N expansion are in agreement with expectations based on the low energy expansion of flat-space type IIB superstring amplitudes. We also comment on the identification of n-point free-field MUV correlators with the integrands of (n − 4)-loop perturbative contributions to the four-point correlator. In particular, we emphasise the important rôle of SL(2, ℤ)-covariance in the construction.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Exact expressions for n-point maximal U(1)Y-violating integrated correlators in SU(N) $$ \mathcal{N} $$ = 4 SYM

Dorigoni

Green

Wen

2021

J. High Energ. Phys.

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“…Here, W stands for W b b=1 . Due to the ellipsoid properties, these vacuum expectation values are now evaluated in the N = 2 matrix model on the sphere, displayed in (87).…”

Section: Ellipsoid Matrix Model and Perturbative Resultsmentioning

confidence: 99%

“…With the help of the localized matrix model, it is possible to explicitly compute perturbative expansions with a well-defined organization in terms of transcendentality, which is a prediction for Feynman diagrams computations. Since in special N = 2 theories, it is also possible to go beyond perturbation theory [81][82][83][84][85][86][87], it would be interesting to explore the N = 2 emitted radiation in these contexts to explore the holographic perspectives.…”

Section: Discussionmentioning

confidence: 99%

Emitted radiation in superconformal field theories

Galvagno

2022

Eur. Phys. J. Plus

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The computation of the emitted radiation by an accelerated external particle can be addressed in a gauge theory with the insertion of a Wilson loop. With the addition of conformal symmetry, this problem is consistently formalized in terms of correlation functions in the presence of the Wilson loop, which are constrained by defect CFT techniques. In theories with extended supersymmetry, we can also resort to supersymmetric localization on a four-sphere. By using this set of tools, we review the close relation between the Bremsstrahlung function and the stress energy tensor one-point coefficient in abelian theories and in superconformal field theories. After presenting the state of the art for generic CFTs, we mainly focus on the supersymmetric cases. We discuss the differences between the maximally supersymmetric $${\mathcal {N}}=4$$ N = 4 case and $${\mathcal {N}}=2$$ N = 2 SCFTs, and finally, we review the general and exact result for the emitted radiation in terms of a first-order derivative of the Wilson loop expectation value on a squashed sphere.

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“…With the help of the localized matrix model, it is possible to explicitly compute perturbative expansions with a well defined organization in terms of transcendentality, which is a prediction for Feynman diagrams computations. Since in special N = 2 theories it is also possible to go beyond perturbation theory [80,81,82,83,84,85,86], it would be interesting to explore the N = 2 emitted radiation in these contexts to explore the holographic perspectives.…”

Section: Discussionmentioning

confidence: 99%

“…In appendix A we introduce the basics of this procedure and the main results for our purposes, whereas all the technical details can be found in the original paper [44] and in the extended review [45]. As outlined in appendix A the N = 4 partition function can be mapped on a four sphere and expressed as a simple Gaussian integral, see (86). The half-BPS circular Wilson loop is mapped on the equator of S 4 (see Figure 2a) and its matrix model expression reads:…”

Section: Exact Bremsstrahlung Function In N =mentioning

confidence: 99%

Emitted Radiation in Superconformal Field Theories

Galvagno¹

2021

Preprint

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The computation of the emitted radiation by an accelerated external particle can be addressed in a gauge theory with the insertion of a Wilson loop. With the addition of conformal symmetry this problem is consistently formalized in terms of correlation functions in presence of the Wilson loop, which are constrained by defect CFT techniques. In theories with extended supersymmetry we can also resort to supersymmetric localization on a four-sphere. By using this set of tools, we review the close relation between the Bremsstrahlung function and the stress energy tensor one-point coefficient in abelian theories and in superconformal field theories. After presenting the state of the art for generic CFTs, we mainly focus on the supersymmetric cases. We discuss the differences between the maximally supersymmetric N = 4 case and N = 2 SCFTs, and finally we review the general and exact result for the emitted radiation in terms of a first order derivative of the Wilson loop expectation value on a squashed sphere.

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Strong-coupling results for $$ \mathcal{N} $$ = 2 superconformal quivers and holography

Cited by 30 publications

References 65 publications

Exact expressions for n-point maximal U(1)Y-violating integrated correlators in SU(N) $$ \mathcal{N} $$ = 4 SYM

Exact expressions for n-point maximal U(1)Y-violating integrated correlators in SU(N) $$ \mathcal{N} $$ = 4 SYM

Emitted radiation in superconformal field theories

Emitted Radiation in Superconformal Field Theories

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