A stereoscopic look into the bulk

Czech, Bartłomiej; Lamprou, Lampros; McCandlish, Samuel; Mosk, Benjamin; Sully, James

doi:10.1007/jhep07(2016)129

Cited by 199 publications

(505 citation statements)

References 63 publications

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“…At low energies the extra dimension defined in this way has a metric characterized by the conformal group and can be viewed as a dS 2 (or AdS 2 ) space in accordance with recent discussions of kinematic space [29,30]. This follows simply from the structure of the conformal group.…”

mentioning

confidence: 87%

“…However, the kinematic space defined as above, through the Casimir operator, continues to be a Lorentzian signature space. This is a general feature of the Casimir operator acting on bilocal fields as has been used recently in [30]. We can view the space as dS 2 , or AdS 2 with time periodically identified, depending on the overall sign we choose for this metric.…”

Section: Comments On Kinematic Spacementioning

confidence: 98%

“…This space was defined in a purely kinematic way by using general properties of the conformal group. It was called kinematic space in [29,30]. Note that even the quadratic action (4.173) for Φ is highly non-local.…”

Section: Comments On Kinematic Spacementioning

confidence: 99%

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Remarks on the Sachdev-Ye-Kitaev model

2016

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We study a quantum mechanical model proposed by Sachdev, Ye and Kitaev. The model consists of N Majorana fermions with random interactions of a few fermions at a time. It it tractable in the large N limit, where the classical variable is a bilocal fermion bilinear. The model becomes strongly interacting at low energies where it develops an emergent conformal symmetry. We study two and four point functions of the fundamental fermions. This provides the spectrum of physical excitations for the bilocal field.The emergent conformal symmetry is a reparametrization symmetry, which is spontaneously broken to SL(2, R), leading to zero modes. These zero modes are lifted by a small residual explicit breaking, which produces an enhanced contribution to the four point function. This contribution displays a maximal Lyapunov exponent in the chaos region (out of time ordered correlator). We expect these features to be universal properties of large N quantum mechanics systems with emergent reparametrization symmetry.This article is largely based on talks given by Kitaev [1], which motivated us to work out the details of the ideas described there.

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confidence: 87%

Section: Comments On Kinematic Spacementioning

confidence: 98%

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Remarks on the Sachdev-Ye-Kitaev model

2016

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“…The purpose of the present work is to review the relation of semi-classical (global) conformal blocks in four dimensions to propagating (scalar) fields in five-dimensional anti-de Sitter (AdS), a fact outlined by [20] and [18,21,22] revisiting work by Ferrara and collaborators in the 70's [23][24][25]. The construction does not rely on supersymmetry.…”

Section: Jhep08(2017)094mentioning

confidence: 99%

On the Kerr-AdS/CFT correspondence

Amado

Cunha

Pallante

2017

J. High Energ. Phys.

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We review the relation between four-dimensional global conformal blocks and field propagation in AdS 5 . Following the standard argument that marginal perturbations should backreact in the geometry, we turn to the study of scalar fields in the generic Kerr-AdS 5 geometry. On one hand, the result for scattering coefficients can be obtained exactly using the isomonodromy technique, giving exact expressions in terms of c = 1 chiral conformal blocks. On the other hand, one can use the analogy between the scalar field equations to the Level 2 null field Ward identity in two dimensional Liouville field theory to write approximate expressions for the same coefficients in terms of semi-classical chiral Liouville conformal blocks. Surprisingly, the conformal block thus constructed has a well-behaved interpretation in terms of Liouville vertex operators.

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“…realization [52]. However only the conformal block for global conformal symmetry [49,52] and Virasoro conformal block for the light operators [50] have been discussed.…”

Section: Jhep10(2016)110mentioning

confidence: 99%

Holographic description of 2D conformal block in semi-classical limit

Chen

Zhang

2016

J. High Energ. Phys.

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Abstract:In this paper, we study the holographic descriptions of the conformal block of heavy operators in two-dimensional large c conformal field theory. We consider the case that the operators are pairwise inserted such that the distance between the operators in a pair is much smaller than the others. In this case, each pair of heavy operators creates a conical defect in the bulk. We propose that the conformal block is dual to the on-shell action of three dimensional geometry with conical defects in the semi-classical limit. We show that the variation of the on-shell action with respect to the conical angle is equal to the length of the corresponding conical defect. We derive this differential relation on the conformal block in the field theory by introducing two extra light operators as both the probe and the perturbation. Our study also suggests that the area law of the holographic Rényi entropy must holds for a large class of states generated by a finite number of heavy operators insertion.

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A stereoscopic look into the bulk

Cited by 199 publications

References 63 publications

Remarks on the Sachdev-Ye-Kitaev model

Remarks on the Sachdev-Ye-Kitaev model

On the Kerr-AdS/CFT correspondence

Holographic description of 2D conformal block in semi-classical limit

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