3d dualities from 2d free field correlators: recombination and rank stabilization

Pasquetti, Sara; Sacchi, Matteo

doi:10.1007/jhep01(2020)061

Cited by 41 publications

(93 citation statements)

References 44 publications

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“…which is essentially the duality relation [38,49] for the DF integrals [39] provided the parameters satisfy the constraint α k =ᾱ k , see also [50]. For m = 0 this identity coincides with (5.6).…”

Section: Dotsenko-fateev Integralsmentioning

confidence: 81%

On Complex Gamma-Function Integrals

Derkachov

Manashov²

2020

SIGMA

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It was observed recently that relations between matrix elements of certain operators in the SL(2, R) spin chain models take the form of multidimensional integrals derived by R.A. Gustafson. The spin magnets with SL(2, C) symmetry group and L 2 (C) as a local Hilbert space give rise to a new type of Γ-function integrals. In this work we present a direct calculation of two such integrals. We also analyse properties of these integrals and show that they comprise the star-triangle relations recently discussed in the literature. It is also shown that in the quasi-classical limit these integral identities are reduced to the duality relations for Dotsenko-Fateev integrals. † For a recent progress in constructing the SoV representation for compact chains see refs. [20][21][22]

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Section: Dotsenko-fateev Integralsmentioning

confidence: 81%

On Complex Gamma-Function Integrals

Derkachov

Manashov²

2020

SIGMA

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“…There are also another class of theories that have been recently studied in [63,64]. It would be interesting to study whether such theories still have similar properties to quiver theories that contain T -link associated with T (U (N )).…”

Section: Discussionmentioning

confidence: 99%

Supersymmetric indices of 3d S-fold SCFTs

Garozzo

Monaco

Mekareeya

et al. 2019

J. High Energ. Phys.

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Enhancement of global symmetry and supersymmetry in the infrared is one of the most intriguing phenomena in quantum field theory. We investigate such phenomena in a large class of three dimensional superconformal field theories, known as the S-fold SCFTs. Supersymmetric indices are computed for a number of theories containing small rank gauge groups. It is found that indices of several models exhibit enhancement of supersymmetry at the superconformal fixed point in the infrared. Dualities between S-fold theories that have different quiver descriptions are also analysed. We explore a new class of theories with a discrete global symmetry, whose gauge symmetry in the quiver has a different global structure from those that have been studied earlier.arXiv:1905.07183v2 [hep-th]

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“…One can then try to reverse the process: is it possible to uplift some known dualities between DF integrals in 2d CFT to genuine (IR, not mass deformed) dualities between 3d gauge theories? This is the philosophy of this paper and its companion [13]. More precisely, what we are doing is not reversing the RG flow, but guessing what is the 3d gauge theory ancestor of the 2d relation between DF correlators.…”

Section: Jhep11(2019)081mentioning

confidence: 99%

“…One can profitably follow the philosophy explained in this paper to derive new nontrivial 3d dualities from known duality relations for DF integrals. For example in a companion paper [13] we will uplift the integral identities found in [11] for the correlators of 3 arbitrary and k degenerate primaries in Liouville theory. This will lead to a 3d duality for a U(N ) gauge theory with one adjoint chiral and k + 1 flavors, which generalizes the one discussed in this paper.…”

Section: Jhep11(2019)081mentioning

confidence: 99%

From 3d dualities to 2d free field correlators and back

Pasquetti

Sacchi

2019

J. High Energ. Phys.

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122

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We investigate the relation between 3d N = 2 theories and 2d free field correlators or Dotsenko-Fateev (DF) integrals for Liouville CFT. We show that the S 2 × S 1 partition functions of some known 3d Seiberg-like dualities reduce, in a suitable 2d limit, to known basic duality identities for DF correlators. These identities are applied in a variety of contexts in CFT, as for example in the derivation of the DOZZ 3-point function. Reversing the logic, we can try to guess new 3d IR dualities which reduce to more intricate duality relations for the DF correlators. For example, we show that a recently proposed duality relating the U(N) theory with one flavor and one adjoint to a WZ model can be regarded as the 3d ancestor of the evaluation formula for the DF integral representation of the 3-point correlator. We are also able to interpret the analytic continuation in the number of screening charges, which is performed on the CFT side to reconstruct the DOZZ 3-point function, as the geometric transition relating the 3d U(N) theory to the 5d T 2 theory.

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3d dualities from 2d free field correlators: recombination and rank stabilization

Cited by 41 publications

References 44 publications

On Complex Gamma-Function Integrals

On Complex Gamma-Function Integrals

Supersymmetric indices of 3d S-fold SCFTs

From 3d dualities to 2d free field correlators and back

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