Swing surfaces and holographic entanglement beyond AdS/CFT

In this work, we develop conformal bootstrap for Galilean conformal field theory (GCFT). In a GCFT, the Hilbert space could be decomposed into quasiprimary states and its global descendants. Different from the usual conformal field theory, the quasiprimary states in a GCFT constitute multiplets, which are block-diagonized under the Galilean boost operator. More importantly the multiplets include the states of negative norms, indicating the theory is not unitary. We compute global blocks of the multiplets, and discuss the expansion of four-point functions in terms of the global blocks of the multiplets. Furthermore we do the harmonic analysis for the Galilean conformal symmetry and obtain an inversion formula. As the first step to apply the Galilean conformal bootstrap, we construct generalized Galilean free theory (GGFT) explicitly. We read the data of GGFT by using Taylor series expansion of four-point function and the inversion formula independently, and find exact agreement. We discuss some novel features in the Galilean conformal bootstrap, due to the non-semisimpleness of the Galilean conformal algebra and the non-unitarity of the GCFTs.

Section: Introductionmentioning

confidence: 99%

On Galilean conformal bootstrap

Chen

Hao

Liu

et al. 2021

“…To summarize, our immediate goal in this work is to perform an analysis of the entanglement surfaces in a doubly holographic setup akin to that of [6], but with matter fields being described by a WCFT 2 . Ultimately, using the prescription of [50], one finds that the eternal BTZ features entanglement islands at all times, with the accompanying entropy curve having a phase transition just as the Page curve for holographic CFT matter does. However, the curve itself is quite different from the Page curve, in that there is a constant piece followed by a monotonically decreasing piece.…”

Section: Jhep07(2021)004mentioning

confidence: 96%

“…Regardless, exploring the case of matter described by a WCFT 2 is a novel direction in the understanding of entanglement islands and their possible connections with unitarity (or lack thereof) as well as non-locality of the system. The prescriptions for holographic entanglement entropy in this arena have been explored in the literature [45][46][47][48][49][50][51].…”

Section: Jhep07(2021)004mentioning

confidence: 99%

“…Even more generally, it should be possible to utilize recent work on entanglement surfaces in the zoo of holographic dualities discussed by [48,50,51]. They consider holographic dualities described by six assumptions listed in section 2.3, all of which are satisfied by AdS/CFT, AdS 3 /WCFT 2 , and WAdS 3 /WCFT 2 .…”

Section: Jhep07(2021)004mentioning

confidence: 99%

“…Additionally, we emphasize how WCFT 2 may be understood holographically, particularly in terms of an AdS 3 bulk. This duality is called AdS 3 /WCFT 2 , and its dictionary includes a notion of holographic entanglement entropy similar to the RT and HRT proposals, termed the swing surface proposal by [50,51].…”

Section: Warped Cft : Reviewmentioning

confidence: 99%

See 2 more Smart Citations

Warped information and entanglement islands in AdS/WCFT

Cáceres

Kundu

Patra

et al. 2021

We use the notion of double holography to study Hawking radiation emitted by the eternal BTZ black hole in equilibrium with a thermal bath, but in the form of warped CFT2 degrees of freedom. In agreement with the literature, we find entanglement islands and a phase transition in the entanglement surface, but our results differ significantly from work in AdS/CFT in three major ways: (1) the late-time entropy decreases in time, (2) island degrees of freedom exist at all times, not just at late times, with the phase transition changing whether or not these degrees of freedom include the black hole interior, and (3) the physics involves a field-theoretic IR divergence emerging when the boundary interval is too big relative to the black hole’s inverse temperature. This behavior in the entropy appears to be consistent with the non-unitarity of holographic warped CFT2 and demonstrates that the islands are not a phenomenon restricted to black hole information in unitary setups.

Extremal surfaces in glue-on AdS/$$ T\overline{T} $$ holography

Apolo,

Hao,

Lai

et al. 2024

Self Cite

$$ T\overline{T} $$ T T ¯ deformed CFTs with positive deformation parameter have been proposed to be holographically dual to Einstein gravity in a glue-on AdS3 spacetime [1]. The latter is constructed from AdS3 by gluing a patch of an auxiliary $$ {\textrm{AdS}}_3^{\ast } $$ AdS 3 ∗ spacetime to its asymptotic boundary. In this work, we propose a glue-on version of the Ryu-Takayanagi formula, which is given by the signed area of an extremal surface. The extremal surface is anchored at the endpoints of an interval on a cutoff surface in the glue-on geometry. It consists of an RT surface lying in the AdS3 part of the spacetime and its extension to the $$ {\textrm{AdS}}_3^{\ast } $$ AdS 3 ∗ region. The signed area is the length of the RT surface minus the length of the segments in $$ {\textrm{AdS}}_3^{\ast } $$ AdS 3 ∗ . We find that the Ryu-Takayanagi formula with the signed area reproduces the entanglement entropy of a half interval for $$ T\overline{T} $$ T T ¯ -deformed CFTs on the sphere. We then study the properties of extremal surfaces on various glue-on geometries, including Poincaré AdS3, global AdS3, and the BTZ black hole. When anchored on multiple intervals at the boundary, the signed area of the minimal surfaces undergoes phase transitions with novel properties. In all of these examples, we find that the glue-on extremal surfaces exhibit a minimum length related to the deformation parameter of $$ T\overline{T} $$ T T ¯ -deformed CFTs.