The ABC (in any D) of logarithmic CFT

Hogervorst, Matthijs; Paulos, Miguel F.; Vichi, Alessandro

doi:10.1007/jhep10(2017)201

Cited by 75 publications

(111 citation statements)

References 127 publications

(223 reference statements)

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“…Concretely, in our theory we deal with single trace primary operators as The matrix (F.5) contains a 2 × 2 Jordan block, together with two diagonal terms γ 3 and γ 4 , corresponding to two renormalized operators with such anomalous dimensions. The physical interpretation of Jordan blocks leads to the formulation of logarithmic CFT (see [31], [61]). In the example (F.5) the block corresponds to a rank-2 logarithmic multiplet.…”

Section: F Operator Mixing and Logarithmic Multipletmentioning

confidence: 99%

Generalized fishnets and exact four-point correlators in chiral CFT4

Казаков

Olivucci

Preti

2019

J. High Energ. Phys.

102

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We study the Feynman graph structure and compute certain exact four-point correlation functions in chiral CFT 4 proposed byÖ. Gürdogan and one of the authors as a double scaling limit of γ-deformed N = 4 SYM theory. We give full description of bulk behavior of large Feynman graphs: it shows a generalized "dynamical fishnet" structure, with a dynamical exchange of bosonic and Yukawa couplings. We compute certain fourpoint correlators in the full chiral CFT 4 , generalizing recent results for a particular onecoupling version of this theory -the bi-scalar "fishnet" CFT. We sum up exactly the corresponding Feynman diagrams, including both bosonic and fermionic loops, by Bethe-Salpeter method. This provides explicit OPE data for various twist-2 operators with spin, showing a rich analytic structure, both in coordinate and coupling spaces.

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Section: F Operator Mixing and Logarithmic Multipletmentioning

confidence: 99%

Generalized fishnets and exact four-point correlators in chiral CFT4

Казаков

Olivucci

Preti

2019

J. High Energ. Phys.

102

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“…It is also illustrative to see this effect from proper conformal block decomposition approach. Actually in this case, the conformal block decomposition (3.24) should be substituted with [25] …”

Section: Jhep11(2016)032mentioning

confidence: 99%

“…8 Note that here one has α 2 ab = αW W a α V V b [25]. 9 The logarithmic shock wave solution just for left moving sector in TMG might be understood from the non-parity invariant structure of OPE coefficients in this theory.…”

Section: Jhep11(2016)032mentioning

confidence: 99%

On butterfly effect in higher derivative gravities

Alishahiha

Davody

Naseh

et al. 2016

J. High Energ. Phys.

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Abstract:We study butterfly effect in D-dimensional gravitational theories containing terms quadratic in Ricci scalar and Ricci tensor. One observes that due to higher order derivatives in the corresponding equations of motion there are two butterfly velocities. The velocities are determined by the dimension of operators whose sources are provided by the metric. The three dimensional TMG model is also studied where we get two butterfly velocities at generic point of the moduli space of parameters. At critical point two velocities coincide.

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“…It successfully predicts Jordan cells in the dilatation operator, independently of the dimension. Recently, progress has been made to determine the general form of correlation functions and conformal blocks in any dimension [21].…”

Section: Introductionmentioning

confidence: 99%

Non-scalar operators for the Potts model in arbitrary dimension

Couvreur¹,

Jacobsen²,

Vasseur³

2017

J. Phys. A: Math. Theor.

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Abstract. We investigate the operator content of the Q-state Potts model in arbitrary dimension, using the representation theory of the symmetric group. In particular we construct all possible tensors acting on N spins, corresponding to given symmetries under S Q and S N , in terms of representations involving any Young diagram. These operators transform non-trivially under the group of spatial rotations, with a definite conformal spin. The two-point correlation functions are then computed, and their physical interpretation is given in terms of Fortuin-Kasteleyn clusters propagating between two neighbourhoods of each N spins. In two dimensions, we obtain analytically the critical exponent corresponding to each operator. In the simplest and physically most relevant cases, we confirm the values of the critical exponent and the conformal spin by numerical measurements, using both Monte Carlo simulations and transfer matrix diagonalisations. Our classification partially provides the structure of Jordan cells of the dilatation operator in arbitrary dimensions, which in turn gives rise to logarithmic correlation functions.

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The ABC (in any D) of logarithmic CFT

Cited by 75 publications

References 127 publications

Generalized fishnets and exact four-point correlators in chiral CFT4

Generalized fishnets and exact four-point correlators in chiral CFT4

On butterfly effect in higher derivative gravities

Non-scalar operators for the Potts model in arbitrary dimension

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