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We study second-order hyperbolic equations with degenerate elliptic operators and non-homogeneous Dirichlet boundary inputs. We establish existence and regularity of weak solutions in weighted Sobolev spaces under mild assumptions on the…

Analysis of PDEs · Mathematics 2026-02-10 Donghui Yang , Jie Zhong

We analyse the impact of various boundary conditions on the (minisuperspace) Lorentzian gravitational path integral. In particular we assess the implications for the Hartle-Hawking no-boundary wavefunction. It was shown recently that when…

High Energy Physics - Theory · Physics 2022-04-08 Alice Di Tucci , Jean-Luc Lehners , Laura Sberna

We propose an algorithm which builds a concrete dual for large-radius 3d de Sitter with a timelike York boundary for both gravity and bulk effective fields. This generalizes the solvable $T\bar T+\Lambda_2$ deformation, whose finite real…

High Energy Physics - Theory · Physics 2024-10-21 Gauri Batra , G. Bruno De Luca , Eva Silverstein , Gonzalo Torroba , Sungyeon Yang

We argue that a natural boundary condition for gravity in asymptotically AdS spaces is to hold the {\em renormalized} boundary stress tensor density fixed, instead of the boundary metric. This leads to a well-defined variational problem, as…

High Energy Physics - Theory · Physics 2016-12-28 Chethan Krishnan , Avinash Raju , P. N. Bala Subramanian

In this work we elaborate on an extension of the AdS/CFT framework to a subclass of gravitational theories with vanishing cosmological constant. By building on earlier ideas, we construct a correspondence between Ricci-flat spacetimes…

High Energy Physics - Theory · Physics 2015-06-05 R. N. Caldeira Costa

We propose a systematic approach to celestial holography in massless theories beginning by studying the implications of properly incorporating field configurations built using the eigenstates of central interest: massless conformal primary…

High Energy Physics - Theory · Physics 2024-04-09 Wei Bu , Sean Seet

The functional renormalisation group for the Einstein-Hilbert action is investigated for the case of four infinite (or large) and one compact dimension. The motivation for this study is given by the suggestion that gravity in more than four…

General Relativity and Quantum Cosmology · Physics 2018-10-01 Natalia Alkofer

In this work we explore ideas in quantizing AdS$_3$ Einstein gravity. We start with the most general solution to the 3d gravity theory which respects Brown-Henneaux boundary conditions. These solutions are specified by two holomorphic…

High Energy Physics - Theory · Physics 2016-01-08 M. M. Sheikh-Jabbari , Hossein Yavartanoo

We study the time evolution of the entanglement entropy of Hawking radiation in the $(n+1)-$dimensional Kerr-Newman black hole evaporation by the holographic approach that considering the $(n+1)-$dimensional AdS eternal black brane coupled…

High Energy Physics - Theory · Physics 2022-09-13 Po-Chun Sun

The semiclassical corrections to the Cardy-Verlinde entropy of a five-dimensional Schwarzschild de-Sitter black hole (SdS_5) are explicitly evaluated. These corrections are considered within the context of KKW analysis and arise as a result…

High Energy Physics - Theory · Physics 2009-11-10 Mohammad R. Setare , Elias C. Vagenas

The issue of holographic mapping between bulk and boundary in the plane-wave limit of AdS/SYM correspondence is reexamined from the viewpoint of correlation functions. We first study the limit of large angular momentum for the so-called…

High Energy Physics - Theory · Physics 2016-09-06 S. Dobashi , T. Yoneya

We compute holographic entanglement entropy (EE) and the renormalized EE in AdS solitons with gauge potential for various dimensions. The renormalized EE is a cutoff-independent universal component of EE. Via Kaluza-Klein compactification…

High Energy Physics - Theory · Physics 2023-09-28 Mitsutoshi Fujita , Song He , Yuan Sun , Jun Zhang

We study holographic RG flows of N=2 matter couple AdS_3 supergravities which admit both compact and non-compact sigma manifolds. For the compact case the supersymmetric domain wall solution interpolates between a conformal IR region and…

High Energy Physics - Theory · Physics 2009-11-07 Nihat Sadik Deger

Within holography, we calculate the contribution of an arbitrary spin-s gauge boson exchange in $AdS_{d+1}$ to the four-point function with scalar operators on the boundary. As an important ingredient, we first compute the complete…

High Energy Physics - Theory · Physics 2014-12-25 Xavier Bekaert , Johanna Erdmenger , Dmitry Ponomarev , Charlotte Sleight

We have studied a mathematical relationship between holographic Wilsonian renormalization group(HWRG) and stochastic quantization(SQ) of scalar field with arbitrary mass in AdS spacetime. In the stochastic theory, the field is described by…

High Energy Physics - Theory · Physics 2016-11-30 Jae-hyuk Oh

The 3-d inverse scattering problem of the reconstruction of the unknown dielectric permittivity in the generalized Helmholtz equation is considered. The main difference with the conventional inverse scattering problems is that only the…

Mathematical Physics · Physics 2016-01-20 Michael V. Klibanov , Vladimir G. Romanov

In this work we present a "modest" holographic reconstruction of the bulk geometry in asymptotically flat spacetime using the two-point correlators of boundary quantum field theory (QFT) in asymptotically flat spacetime. The boundary QFT…

General Relativity and Quantum Cosmology · Physics 2022-08-04 Erickson Tjoa , Finnian Gray

We calculate quantum corrections to holographic entanglement entropy in the proposed duality between $T\bar{T}$-deformed holographic 2D CFTs and gravity in AdS$_{3}$ with a finite cutoff. We first establish the dictionary between the two…

High Energy Physics - Theory · Physics 2020-05-20 William Donnelly , Elise LePage , Yan-Yan Li , Andre Pereira , Vasudev Shyam

Sine dilaton gravity is holographically related to DSSYK. We explain how to interpret sine dilaton as 2d quantum cosmology. This paves the way for using two copies of DSSYK as hologram for Big-Bang cosmologies. We study the most basic…

High Energy Physics - Theory · Physics 2026-04-02 Andreas Blommaert , Adam Levine

Extremal black branes upon compactification in the near horizon throat region are known to give rise to $AdS_2$ dilaton-gravity-matter theories. Away from the throat region, the background has nontrivial profile. We interpret this as…

High Energy Physics - Theory · Physics 2019-02-20 Kedar S. Kolekar , K. Narayan