Holographic local operator quenches in BCFTs

Kawamoto, Taishi; Mori, Takato; Suzuki, Yu-ki; Takayanagi, Tadashi; Ugajin, Tomonori

doi:10.1007/jhep05(2022)060

Cited by 21 publications

(15 citation statements)

References 50 publications

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“…If a conical defect is introduced in an AdS spacetime with an end-of-the-world brane, the brane will be bent due to the gravitational interaction. When the deficit angle exceeds a certain threshold, the brane will intersect itself [30,31,70,83]. Configurations with brane self-intersections indeed are solutions to the Einstein equation.…”

Section: Gravity Dual Of the Bcft On A Half Planementioning

confidence: 99%

“…except for the identity I. This assumption is often considered in the AdS/BCFT construction to model setups where there is no direct coupling between the brane and the matter fields [3,83]. Another context where such an assumption is often considered in discussions about the BCFT dual of the island model [19,22].…”

Section: Bootstrapping a Two-point Function On A Stripmentioning

confidence: 99%

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AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles

Kusuki¹,

Wei²

2022

Preprint

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We initiate a conformal bootstrap program to study AdS 3 /BCFT 2 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 independence of the bootstrap equations 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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Section: Gravity Dual Of the Bcft On A Half Planementioning

confidence: 99%

Section: Bootstrapping a Two-point Function On A Stripmentioning

confidence: 99%

AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles

Kusuki¹,

Wei²

2022

Preprint

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“…Unlike the case in [21], our investigation can be regarded as a pseudo-entropy extension of the real-time evolution of the entanglement entropy after such local operator excitations [33]. In recent years, the time evolution of entanglement entropy for locally excited states has been widely studied, including rational CFTs [34][35][36], irrational CFTs [37], large-c CFTs [38,39], boundary CFTs [40], warped CFTs [41], CFTs at finite temperature [42], multiple local excitations [43], and holographic duals of the local excitations [44][45][46][47]. In 2d rational CFTs (RCFTs), it was found that the variation of nth Rényi entropy for locally primary excited states saturates to a constant equal to the logarithm of the quantum dimension of the local operator's conformal family [34][35][36].…”

Section: Jhep09(2022)094mentioning

confidence: 99%

On the real-time evolution of pseudo-entropy in 2d CFTs

Guo

Zhang

2022

J. High Energ. Phys.

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In this work, we study the real-time evolution of pseudo-(Rényi) entropy, a generalization of entanglement entropy, in two-dimensional conformal field theories (CFTs). We focus on states obtained by acting primary operators located at different space points or their linear combinations on the vacuum. We show the similarities and differences between the pseudo-(Rényi) entropy and entanglement entropy. For excitation by a single primary operator, we analyze the behaviors of the 2nd pseudo-Rényi entropy in various limits and find some symmetries associated with the subsystem and the positions of the inserted operators. For excitation by linear combinations, the late time limit of the nth pseudo-Rényi entropy shows a simple form related to the coefficients of the combinations and Rényi entropy of the operators, which can be derived by using the Schmidt decomposition. Further, we find two kinds of particular spatial configurations of insertion operators in one of which the pseudo-(Rényi) entropy remains real throughout the time evolution.

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“…Their holographic dual involves a dynamical geometry that can be obtained from the back-reaction of a massive particle (or generally a bulk field), which is dual to that local operator [19]. In particular, entanglement evolution in these states has been studied extensively in the context of quantum quenches [20][21][22][23][24][25][26][27], scrambling [28,29], quantum chaos [30][31][32][33] as well as bulk reconstruction in AdS/CFT [34][35][36]. Certainly, this family provides very important and analytically tractable data points in the "spacetime from entanglement" program.…”

Section: Introductionmentioning

confidence: 99%

Entanglement and geometry from subalgebras of the Virasoro

Caputa¹,

Ge²

2022

Preprint

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In this work we study families of generalised coherent states constructed from SL(2,R) subalgebras of the Virasoro algebra in two-dimensional conformal field theories. We derive the energy density and entanglement entropy and discuss their equivalence with analogous quantities computed in locally excited states. Moreover, we analyze their dual, holographic geometries and reproduce entanglement entropies from the Ryu-Takayanagi prescription. Finally, we outline possible applications of this universal class of states to operator growth and inhomogeneous quenches.

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Holographic local operator quenches in BCFTs

Cited by 21 publications

References 50 publications

AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles

AdS/BCFT from Conformal Bootstrap: Construction of Gravity with Branes and Particles

On the real-time evolution of pseudo-entropy in 2d CFTs

Entanglement and geometry from subalgebras of the Virasoro

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