Chaos in the butterfly cone

Self Cite

We study the inner horizons of rotating and charged black holes in anti-de Sitter space. These black holes have a classical analytic extension through the inner horizon to additional asymptotic regions. If this extension survives in the quantum theory, it requires particular analytic properties in a dual CFT, which give a prescription for calculating correlation functions for operators placed on any asymptotic boundary of the maximally extended spacetime. We show that for charged black holes in three or greater dimensions, and rotating black holes in four or greater dimensions, these analytic properties are inconsistent in the dual CFT, implying the absence of an analytic extension for quantum fields past the inner horizon. Thus, we find that strong cosmic censorship holds for all AdS black holes except rotating BTZ. To further study the latter case, we insert classical perturbations near the boundary at late times, producing shockwaves traveling along the inner horizon. We holographically compute CFT correlators in this background that probe a high energy scattering process near the inner horizon and argue that the shockwave does not destabilize the inner horizon violently enough to prevent signaling between different asymptotic regions of the Penrose diagram. This provides evidence that the rotating BTZ black hole does violate the strong cosmic censorship conjecture.

Section: Jhep06(2020)054mentioning

confidence: 55%

Section: Black Brane Limitmentioning

confidence: 99%

See 1 more Smart Citation

Holographic probes of inner horizons

Balasubramanian

Kar

Sárosi

2020

Self Cite

“…Within the cones we have to work with the same membrane tension function E(v) as in other setups, there is no sensitivity to the operator O and no substructure within the butterfly cone. Probing growing operators with out of time order correlation functions [21,45,47], one finds richer, but less universal structure within the butterfly cone [48][49][50]. In view of this complicated physics, we find it remarkable that operator entanglement is so universal and simple.…”

Section: Entanglement Entropy Of Growing Operatorsmentioning

confidence: 97%

Exploring the membrane theory of entanglement dynamics

Virrueta

2020

Self Cite

Recently an effective membrane theory valid in a "hydrodynamic limit" was proposed to describe entanglement dynamics of chaotic systems based on results in random quantum circuits and holographic gauge theories. In this paper, we show that this theory is robust under a large set of generalizations. In generic quench protocols we find that the membrane couples geometrically to hydrodynamics, joining quenches are captured by branes in the effective theory, and the entanglement of time evolved local operators can be computed by probing a time fold geometry with the membrane. We also demonstrate that the structure of the effective theory does not change under finite coupling corrections holographically dual to higher derivative gravity and that subleading orders in the hydrodynamic expansion can be incorporated by including higher derivative terms in the effective theory.

“…We can thus study thermal physics on hyperbolic space using just conformal symmetry arguments. We mostly repeat and expand the analysis of [50], where Rindler OTOCs were computed from the global stress tensor block (note also the relevant papers [51,53] that appeared while our work was nearing completion).…”

Section: Otocs From Conformal Blocks In Higher Dimensionsmentioning

confidence: 99%

Reparametrization modes, shadow operators, and quantum chaos in higher-dimensional CFTs

Haehl

Reeves

Rozali

2019

152

We study two novel approaches to efficiently encoding universal constraints imposed by conformal symmetry, and describe applications to quantum chaos in higher dimensional CFTs. The first approach consists of a reformulation of the shadow operator formalism and kinematic space techniques. We observe that the shadow operator associated with the stress tensor (or other conserved currents) can be written as the descendant of a field E with negative dimension. Computations of stress tensor contributions to conformal blocks can be systematically organized in terms of the "soft mode" E, turning them into a simple diagrammatic perturbation theory at large central charge.Our second (equivalent) approach concerns a theory of reparametrization modes, generalizing previous studies in the context of the Schwarzian theory and two-dimensional CFTs. Due to the conformal anomaly in even dimensions, gauge modes of the conformal group acquire an action and are shown to exhibit the same dynamics as the soft mode E that encodes the physics of the stress tensor shadow. We discuss the calculation of the conformal partial waves or the conformal blocks using our effective field theory. The separation of conformal blocks from shadow blocks is related to gauging of certain symmetries in our effective field theory of the soft mode.These connections explain and generalize various relations between conformal blocks, shadow operators, kinematic space, and reparametrization modes. As an application we study thermal physics in higher dimensions and argue that the theory of reparametrization modes captures the physics of quantum chaos in Rindler space. This is also supported by the observation of the pole skipping phenomenon in the conformal energy-energy two-point function on Rindler space. arXiv:1909.05847v2 [hep-th]