(1+1)-Correlators and moving massive defects

Ageev, Dmitry S.; Aref’eva, I. Ya.; Tikhanovskaya, Maria

doi:10.1134/s0040577916070060

Cited by 17 publications

(34 citation statements)

References 44 publications

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“…The geodesic approximation [23][24][25] gives the same result up to a constant prefactor. Moreover, this formula coincides with the two-point correlator in the orbifold CFT obtained by usual image method [13,32].…”

Section: Special Case: Ads 3 /Z N -Orbifoldsupporting

confidence: 59%

“…The latter leads to the fact that two given points in the bulk (or at the boundary) can be connected, generally speaking, by several geodesics. This has a crucial impact on the holographic dual of the AdS 3 with a point particle, as was shown in the recent work [21][22][23][24][25] based on the geodesic approximation [26]. The main object of study therein were two-point correlation functions and the entanglement entropy in the boundary dual to the AdS 3 -deficit spacetime in the framework of geodesic approximation.…”

Section: Introductionmentioning

confidence: 98%

“…The geodesic prescription for correlation functions [26] dual to particles (both static and moving) in AdS 3 has been constructed in [21][22][23][24][25]. It takes into account geodesics which wind around conical defects functions by including the contributions of image geodesics generated by the identification isometry.…”

Section: Comparison With Geodesic Approximationmentioning

confidence: 99%

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Holographic dictionary and defects in the bulk

Khramtsov

2016

EPJ Web Conf.

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Abstract. We study the holographic dual of the AdS 3 spacetime with a conical defect. We calculate the boundary two-point correlator using the holographic Gubser-KlebanovPolyakov/Witten dictionary for a scalar field in the bulk. We consider the general case, when the conical defect breaks conformal symmetry at the boundary. The results are compared with previous studies based on the geodesic approximation. They are in good agreement for short correlators, and main discrepancy comes in the region of long correlations. It is shown that in the case when the spacetime is the AdS 3 /Z N orbifold, both methods give the same result which also produces the result expected from the orbifold CFT.

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Section: Special Case: Ads 3 /Z N -Orbifoldsupporting

confidence: 59%

Section: Introductionmentioning

confidence: 98%

Section: Comparison With Geodesic Approximationmentioning

confidence: 99%

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Holographic dictionary and defects in the bulk

Khramtsov

2016

EPJ Web Conf.

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“…In the present paper we continue the work started in [34,35]. We propose the prescription for timelike correlations in locally AdS 3 spacetimes inspired by the latter method.…”

Section: Introductionmentioning

confidence: 69%

“…We focus on the geodesic approximation of AdS 3 deformed by point particles. In the recent work [32][33][34][35] the geodesic approximation for the boundary two-point function with spacelike-separated points was formulated in case of the AdS 3 spacetime with point particles. Particle solutions in AdS 3 [36][37][38][39] produce conical singularities, around which geodesics can wind.…”

Section: Introductionmentioning

confidence: 99%

Improved image method for a holographic description of conical defects

2016

Self Cite

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Abstract:The geodesics prescription in holographic approach in Lorentzian signature is valid only for geodesics which connect spacelike-separated points at the boundary, since there are no timelike geodesics which reach the boundary. There is also no straightforward analytic Euclidean continuation for a general background, such as e. g. moving particle in AdS. We propose an improved geodesic image method for two-point Lorentzian correlators which is valid for arbitrary time intervals in case of the bulk spacetime deformed by point particles. We illustrate that our prescription is consistent with the case when the analytic continuation exists and with the quasigeodesics prescription used in previous work. We also discuss some other applications of the improved image method, such as holographic entanglement entropy and multiple particles in AdS 3 .

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AdS/BCFT from conformal bootstrap: construction of gravity with branes and particles

Kusuki

Wei

2023

J. High Energ. Phys.

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We initiate a conformal bootstrap program to study AdS3/BCFT2 with heavy excitations. We start by solving the bootstrap equations associated with two-point functions of scalar/non-scalar primaries under the assumption that one-point functions vanish. These correspond to gravity with a brane and a non-spinning/spinning particle where the brane and the particle do not intersect with each other. From the bootstrap equations, we obtain the energy spectrum and the modified black hole threshold. We then carefully analyze the gravity duals and find the results perfectly match the BCFT analysis. In particular, brane self-intersections, which are usually considered to be problematic, are nicely avoided by the black hole formation. Despite the assumption to solve the bootstrap equations, one-point functions of scalar primaries can be non-zero in general. We construct the holographic dual for a non-vanishing one-point function, in which the heavy particle can end on the brane, by holographically computing the Rényi entropy in AdS/BCFT. As a bonus, we find a refined formula for the holographic Rényi entropy, which appears to be crucial to correctly reproduce the boundary entropy term. On the other hand, we explain why one-point functions of non-scalar primaries always vanish from the gravity dual. The non-sensitivity of the solution for the bootstrap equation to the boundary entropy helps us to construct gravity duals with negative tension branes. We also find a holographic dual of boundary primaries.

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(1+1)-Correlators and moving massive defects

Cited by 17 publications

References 44 publications

Holographic dictionary and defects in the bulk

Holographic dictionary and defects in the bulk

Improved image method for a holographic description of conical defects

AdS/BCFT from conformal bootstrap: construction of gravity with branes and particles

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