Correlation functions in the D1-D5 orbifold CFT

Tormo, Joan Garcia i; Taylor, Marika

doi:10.1007/jhep06(2018)012

Cited by 13 publications

(7 citation statements)

References 81 publications

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“…where (3) denotes a permutation that joins together the three strands |++ k i and where c k 1 ,k 2 ,k 3 = k 1 +k 2 +k 3 3k 1 k 2 k 3 [51]. We first focus on three particular strands of winding one and one particular permutation, say (123), of the three strands, for which we thus have…”

Section: Determining the First Set Of Coefficientsmentioning

confidence: 99%

AdS3 holography at dimension two

Giusto

Rawash

Turton

2019

J. High Energ. Phys.

108

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Holography can provide a microscopic interpretation of a gravitational solution as corresponding to a particular CFT state: the asymptotic expansion in gravity encodes the expectation values of operators in the dual CFT state. Such a correspondence is particularly valuable in black hole physics. We study supersymmetric D1-D5-P black holes, for which recently constructed microstate solutions known as "superstrata" provide strong motivation to derive the explicit D1-D5 holographic dictionary for CFT operators of total dimension two. In this work we derive the explicit map between one-point functions of scalar chiral primaries of dimension (1,1) and the asymptotic expansions of families of asymptotically AdS 3 × S 3 × M supergravity solutions, with M either T 4 or K3. We include all possible mixings between single-trace and multi-trace operators. We perform several tests of the holographic map, including new precision holographic tests of superstrata, that provide strong supporting evidence for the proposed dual CFT states.

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Section: Determining the First Set Of Coefficientsmentioning

confidence: 99%

AdS3 holography at dimension two

Giusto

Rawash

Turton

2019

J. High Energ. Phys.

108

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“…For small values of rH , the exponential decay lasts as long as r H Ry v 1, but in this regime, it does not become parametrically small. 18 For interesting recent work on CFT three-point function of one light and two similar heavy states see for example [52][53][54][55]. 19 Although this was not made explicit in [13], the calculation of the large momentum limit of the Wightman function also applies to microstate geometries that have long BTZ throats and small angular momentum.…”

Section: Final Commentsmentioning

confidence: 99%

Thermal decay without information loss in horizonless microstate geometries

Bena¹,

Heidmann²,

Monten³

et al. 2019

SciPost Phys.

108

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We develop a new hybrid WKB technique to compute boundary-to-boundary scalar Green functions in asymptotically-AdS backgrounds in which the scalar wave equation is separable and is explicitly solvable in the asymptotic region. We apply this technique to a family of six-dimensional 1 8 -BPS asymptotically AdS 3 × S 3 horizonless geometries that have the same charges and angular momenta as a D1-D5-P black hole with a large horizon area. At large and intermediate distances, these geometries very closely approximate the extremal-BTZ × S 3 geometry of the black hole, but instead of having an event horizon, these geometries have a smooth highly-redshifted global-AdS 3 × S 3 cap in the IR. We show that the response function of a scalar probe, in momentum space, is essentially given by the pole structure of the highly-redshifted global-AdS 3 modulated by the BTZ response function. In position space, this translates into a sharp exponential black-hole-like decay for times shorter than N 1 N 5 , followed by the emergence of evenly spaced "echoes from the cap," with period ∼ N 1 N 5 . Our result shows that horizonless microstate geometries can have the same thermal decay as black holes without the associated information loss. arXiv:1905.05194v1 [hep-th]

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“…The twisted boundary conditions of the symmetric orbifold lead to correlation functions with complicated monodromies, and one must resort to specific techniques to compute them [29][30][31][32][33]. The explicit construction of these functions remains an active area of research [34][35][36][37][38][39][40][41][42][43][44]. In fact, the study of the (T 4 ) N /S N orbifold SCFT has been associated with the development of an explicit realization of AdS 3 /CFT 2 by mapping the D1-D5 system to the F1-NS5 system by S-duality, and working on the AdS 3 × S 3 × T 4 background with only (one unit of) NS fluxes [44][45][46][47][48][49][50][51].…”

Section: Introductionmentioning

confidence: 99%

On the dynamics of protected ramond ground states in the D1-D5 CFT

Lima

Sotkov

Stanishkov

2021

J. High Energ. Phys.

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We examine the behavior of the Ramond ground states in the D1-D5 CFT after a deformation of the free-orbifold sigma model on target space ($$ {\mathbbm{T}}^4 $$ T 4 )N/SN by a marginal interaction operator. These states are compositions of Ramond ground states of the twisted and untwisted sectors. They are characterized by a conjugacy class of SN and by the set of their “spins”, including both R-charge and “internal” SU(2) charge. We compute the four-point functions of an arbitrary Ramond ground state with its conjugate and two interaction operators, for genus-zero covering surfaces representing the leading orders in the large-N expansion. We examine short distance limits of these four-point functions, shedding light on the dynamics of the interacting theory. We find the OPEs and a collection of structure constants of the ground states with the interaction operators and a set of resulting non-BPS twisted operators. We also calculate the integrals of the four-point functions over the positions of the interaction operators and show that they vanish. This provides an explicit demonstration that the Ramond ground states remain protected against deformations away of the free orbifold point, as expected from algebraic considerations using the spectral flow of the $$ \mathcal{N} $$ N = (4, 4) superconformal algebra with central charge c = 6N.

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Correlation functions in the D1-D5 orbifold CFT

Cited by 13 publications

References 81 publications

AdS3 holography at dimension two

AdS3 holography at dimension two

Thermal decay without information loss in horizonless microstate geometries

On the dynamics of protected ramond ground states in the D1-D5 CFT

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