Tidal excitation as mixing in thermal CFT

Engelsöy, Julius; Sundborg, Bo

doi:10.48550/arxiv.2106.06520

Cited by 2 publications

(3 citation statements)

References 16 publications

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“…In [21] the authors showed that the string is also tidally excited along directions of T 4 . For other works on tidal forces in the context of AdS/CFT see [22,23,24].…”

Section: Introductionmentioning

confidence: 99%

The Dual of a Tidal Force in the D1D5 CFT

Guo¹,

Hampton²

2021

Preprint

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It was demonstrated that a string probe falling radially within a superstratum geometry would experience tidal forces. These tidal forces were shown to excite the string by converting its kinetic energy into stringy excitations. Using the AdS/CFT correspondence we seek to understand this behavior from the perspective of the dual D1D5 CFT. To study this process we turn on an interaction of the theory which is described by a deformation operator. We start with an initial state which is dual to a graviton probe moving within the superstratum geometry. We then use two deformation operators to compute transition amplitudes between this state and a final state that corresponds to stringy excitations. We show that this amplitude grows as t 2 with t being the amount of time for which the deformation operators are turned on. We argue that this process in the CFT is suggestive of the tidal effects experienced by the probe propagating within the dual superstratum geometry.

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“…In [21] the authors showed that the string is also tidally excited along directions of T 4 . For other works on tidal forces in the context of AdS/CFT see [22,23,24].…”

Section: Introductionmentioning

confidence: 99%

The Dual of a Tidal Force in the D1D5 CFT

Guo¹,

Hampton²

2021

Preprint

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“…Finally, as we will discuss, the correction in fig. (1) is actually the leading term for offdiagonal correlators (an issue recently discussed in [15]). Recall that at T = 0 conformal symmetry sets to zero 2-point functions for operators of different conformal dimensions.…”

Section: Introduction and Conclusionmentioning

confidence: 99%

“…(1), they "explore inside the horizon". Thus, it would be very interesting to further study off-diagonal correlators, specially in connection to [15]. This paper is organized as follows: in section 2 we set up the holographic computation of 2-point functions in our toy model, whose leading terms are captured by the Witten diagram expansion in fig.…”

Section: Introduction and Conclusionmentioning

confidence: 99%

Holographic thermal correlators revisited

Krishna,

Rodriguez-Gomez

2021

Preprint

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We study 2-point correlation functions for scalar operators in position space through holography including bulk cubic couplings as well as higher curvature couplings to the square of the Weyl tensor. We focus on scalar operators with large conformal dimensions. This allows us to use the geodesic approximation for propagators. In addition to the leading order contribution, captured by geodesics anchored at the insertion points of the operators on the boundary and probing the bulk geometry thoroughly studied in the literature, the first correction is given by a Witten diagram involving both the bulk cubic coupling and the higher curvature couplings. As a result, this correction is proportional to the VEV of a neutral operator O k and thus probes the interior of the black hole exactly as in the case studied by Grinberg and Maldacena [13]. The form of the correction matches the general expectations in CFT and allows to identify the contributions of T n O k (being T n the general contraction of n energy-momentum tensors) to the 2-point function. This correction is actually the leading term for off-diagonal correlators (i.e. correlators for operators of different conformal dimension), which can then be computed holographically in this way.

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Tidal excitation as mixing in thermal CFT

Cited by 2 publications

References 16 publications

The Dual of a Tidal Force in the D1D5 CFT

The Dual of a Tidal Force in the D1D5 CFT

Holographic thermal correlators revisited

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