Localization vs holography in $4d$ $\mathcal{N}=2$ quiver theories

Billo, M.; Frau, M.; Lerda, A.; Pini, A.; Vallarino, P.

doi:10.48550/arxiv.2207.08846

Cited by 4 publications

(14 citation statements)

References 47 publications

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“…The Lagrangian theories discussed in Section 2 are natural candidates for such an analysis. Work along these lines has recently appeared in [29,30] for a class of quiver gauge theories and we hope that our techniques will find an application and can be adapted to the study of these models.…”

Section: Discussionmentioning

confidence: 99%

The planar limit of the $\mathcal{N} = 2$ $\mathbf{E}$-theory: numerical calculations and the large $λ$ expansion

Bobev¹,

Smet²,

Zhang³

2022

Preprint

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We study correlation functions of local operators and Wilson loop expectation values in the planar limit of a 4d N = 2 superconformal SU(N ) YM theory with hypermultiplets in the symmetric and antisymmetric representations of the gauge group. This so called E theory is closely related to N = 4 SYM and has a holographic description in terms of a Z 2 orientifold of AdS 5 × S 5 . Using recent matrix model results based on supersymmetric localization we develop efficient numerical methods to calculate two-and three-point functions of certain single trace operators as well as 1/2-BPS Wilson loop expectation values as a function of the 't Hooft coupling λ. We use our numerical results to arrive at simple analytic expressions for these correlators valid up to sixth order in the λ −1/2 strong coupling expansion. These results provide explicit field theory predictions for the α corrections to the supergravity approximation of type IIB string theory on the AdS 5 × S 5 /Z 2 orientifold.

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Section: Discussionmentioning

confidence: 99%

The planar limit of the $\mathcal{N} = 2$ $\mathbf{E}$-theory: numerical calculations and the large $λ$ expansion

Bobev¹,

Smet²,

Zhang³

2022

Preprint

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“…More specifically, it was argued in [5,6] that supersymmetric localization reduces the evaluation of closely related n-point functions on S 4 to matrix model computations; then, a Gram-Schmidt orthogonalization procedure applied to these S 4 correlators yields the correlators on R 4 [7][8][9][10][11][12]. Other approaches use the 4d analog [1] of the tt ˚equations [13][14][15][16], the large R-charge expansion [17][18][19][20][21][22][23] or holography [24,25].…”

mentioning

confidence: 99%

The planar limit of $$ \mathcal{N} $$ = 2 chiral correlators

Fiol

Fukelman

2021

J. High Energ. Phys.

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We derive the planar limit of 2- and 3-point functions of single-trace chiral primary operators of $$ \mathcal{N} $$ N = 2 SQCD on S4, to all orders in the ’t Hooft coupling. In order to do so, we first obtain a combinatorial expression for the planar free energy of a hermitian matrix model with an infinite number of arbitrary single and double trace terms in the potential; this solution might have applications in many other contexts. We then use these results to evaluate the analogous planar correlation functions on ℝ4. Specifically, we compute all the terms with a single value of the ζ function for a few planar 2- and 3-point functions, and conjecture general formulas for these terms for all 2- and 3-point functions on ℝ4.

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“…This is the most symmetric configuration and possesses a known holographic dual given by Type II B string theory on a space-time of the type AdS 5 ×S 5 /Z 2 [58,59]. Over the last few years, many BPS-observables in the large-N limit of this superconformal theory have been examined, both at weak and strong-coupling, exploting supersymmetric localization techniques, such as the free energy and the VEV of one or more circular Wilson loops [60][61][62][63][64][65][66][67] and the 2-and 3point functions of chiral/anti-chiral primary operators [13,16,18,19,[22][23][24]26].…”

Section: Jhep06(2024)170mentioning

confidence: 99%

“…In this quiver, however, we can have two different kinds of deformations involving the chiral primary operators. Indeed we can introduce untwisted, O + p , and twisted, O − p , CPOs under the Z 2 action that exchanges the two gauge groups [19,23]…”

Section: Jhep06(2024)170mentioning

confidence: 99%

Integrated correlators at strong coupling in an orbifold of $$ \mathcal{N} $$ = 4 SYM

Pini,

Vallarino

2024

J. High Energ. Phys.

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We consider the 4d$$ \mathcal{N} $$ N = 2 superconformal quiver gauge theory obtained by a ℤ2 orbifold of $$ \mathcal{N} $$ N = 4 super Yang-Mills (SYM). By exploiting supersymmetric localization, we study the integrated correlator of two Coulomb branch and two moment map operators and the integrated correlator of four moment map operators, determining exact expressions valid for any value of the ’t Hooft coupling in the planar limit. Additionally, for the second correlator, we obtain an exact expression also for the next-to-planar contribution. Then, we derive the leading terms of their strong-coupling expansions and outline the differences with respect to the $$ \mathcal{N} $$ N = 4 SYM theory.

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Localization vs holography in $4d$ $\mathcal{N}=2$ quiver theories

Cited by 4 publications

References 47 publications

The planar limit of the $\mathcal{N} = 2$ $\mathbf{E}$-theory: numerical calculations and the large $λ$ expansion

The planar limit of the $\mathcal{N} = 2$ $\mathbf{E}$-theory: numerical calculations and the large $λ$ expansion

The planar limit of $$ \mathcal{N} $$ = 2 chiral correlators

Integrated correlators at strong coupling in an orbifold of $$ \mathcal{N} $$ = 4 SYM

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