Worldsheet dual of free $\mathcal{N}=2$ quiver gauge theories

Gaberdiel, Matthias R.; Galvagno, Francesco

doi:10.48550/arxiv.2206.08795

Cited by 5 publications

(5 citation statements)

References 44 publications

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“…Beside being very interesting in their own, these quiver theories give rise, upon further orbifold or orientifold projections, to other superconformal N = 2 models, like for instance the so-called E-theory with gauge group SU(N ) and matter in the antisymmetric plus the symmetric representation, recently discussed in [5,6]. Furthermore, they are also interesting from the integrability point of view (see [7] and references therein) and can be used to analyze the tensionless limit of string theory in the AdS 5 × S 5 /Z M background and to probe the dual free world-sheet description in a context with N = 2 supersymmetry [8].…”

Section: Introduction and Summary Of Resultsmentioning

confidence: 99%

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

Billó

Frau

Lerda

et al. 2022

J. High Energ. Phys.

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We study 4-dimensional $$ \mathcal{N} $$ N = 2 superconformal quiver gauge theories obtained with an orbifold projection from $$ \mathcal{N} $$ N = 4 SYM, and compute the 2- and 3-point correlation functions among chiral/anti-chiral single-trace scalar operators and the corresponding structure constants. Exploiting localization, we map the computation to an interacting matrix model and obtain expressions for the correlators and the structure constants that are valid for any value of the ’t Hooft coupling in the planar limit of the theory. At strong coupling, these expressions simplify and allow us to extract the leading behavior in an analytic way. Finally, using the AdS/CFT correspondence, we compute the structure constants from the dual supergravity theory and obtain results that perfectly match the strong-coupling predictions from localization.

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Section: Introduction and Summary Of Resultsmentioning

confidence: 99%

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

Billó

Frau

Lerda

et al. 2022

J. High Energ. Phys.

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show abstract

“…The conclusion would be that the worldsheet dual of a generic free CFT is, at least partially, describable in terms of worldsheet fields which formally resemble those of the free field realisation of psu(1, 1|2) 1 . This is indeed true for the case of the worldsheet dual of free N = 4 super Yang-Mills [33,34], and has also recently shown to be true for a large class of free N = 2 quiver gauge theories dual to tensionless string theory on AdS 5 × (S 5 )/Z N [35]. It would thus be interesting to explore further the connection between twistor-like worldsheet theories and the stringy duals to free holographic CFTs.…”

Section: Reconstructing the Worldsheetmentioning

confidence: 59%

Classical geometry from the tensionless string

Knighton¹

2022

Preprint

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Tensionless string theory on AdS 3 × S 3 × M is explored in the limit that the strings wind the asymptotic boundary a large number of times. Although the worldsheet is usually thought to be localised to the AdS boundary, we argue that the string can actually probe the bulk geometry in this limit. In particular, we show that correlation functions can be expressed in terms of a minimal-area worldsheet propagating in AdS 3 . We then relate the classical motion of the string to the twistor-like free field description of the tensionless worldsheet theory. Finally, we consider a particular dimensional reduction of AdS 3 to AdS 2 , and show that the effective action of the worldsheet formally resembles the one-dimensional Schwarzian theory of JT gravity with conical defects.

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Section: Introduction and Summary Of Resultsmentioning

confidence: 99%

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

Billo,

Frau,

Lerda

et al. 2022

Preprint

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We study 4-dimensional N = 2 superconformal quiver gauge theories obtained with an orbifold projection from N = 4 SYM, and compute the 2-and 3-point correlation functions among chiral/anti-chiral single-trace scalar operators and the corresponding structure constants. Exploiting localization, we map the computation to an interacting matrix model and obtain expressions for the correlators and the structure constants that are valid for any value of the 't Hooft coupling in the planar limit of the theory. At strong coupling, these expressions simplify and allow us to extract the leading behavior in an analytic way. Finally, using the AdS/CFT correspondence, we compute the structure constants from the dual supergravity theory and obtain results that perfectly match the strong-coupling predictions from localization.

show abstract

Worldsheet dual of free $\mathcal{N}=2$ quiver gauge theories

Cited by 5 publications

References 44 publications

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

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

Classical geometry from the tensionless string

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

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