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These are course notes for the 'Introduction to holography' Master level course at University of Cologne. The goal of the course is to give a pedogogical introduction to holography. Holography is a popular approach to quantum gravity, in…

High Energy Physics - Theory · Physics 2026-03-06 Nele Callebaut

Given two otherwise decoupled $D$-dimensional CFTs which possess a common (finite) symmetry subcategory, one can consider entangled boundary states of their $(D+1)$-dimensional SymTFTs. This roughly corresponds to performing a gauging of…

High Energy Physics - Theory · Physics 2025-12-12 Ethan Torres , Xingyang Yu

We holographically compute the R\'enyi relative divergence $D_{\alpha} (\rho_{+} || \rho_{-})$ between two density matrices $\rho_{+}, \; \rho_{-}$ prepared by path integrals with constant background fields $\lambda_{\pm}$ coupled to a…

High Energy Physics - Theory · Physics 2021-05-26 Tomonori Ugajin

We investigate scalar-induced gravitational waves (SIGWs) in the framework of spatially covariant gravity (SCG), a broad class of Lorentz-violating modified gravity theories respecting only spatial diffeomorphism invariance. Extending…

General Relativity and Quantum Cosmology · Physics 2026-02-13 Jiehao Jiang , Jieming Lin , Xian Gao

We discuss c-functions and their holographic counterpart for two-dimensional field theories with Carrollian conformal fixed points in the UV and the IR. Specifically, we construct asymptotically flat domain wall solutions of…

High Energy Physics - Theory · Physics 2023-09-26 Daniel Grumiller , Max Riegler

We propose a new class of holographic dualities between certain, generically non supersymmetric, defect conformal field theories (dCFTs) and their gravity duals. Our construction interpolates between the 1/2-BPS D3-D3 system and its field…

High Energy Physics - Theory · Physics 2026-04-27 George Georgiou , Dimitrios Zoakos

We find an explicit supergravity background dual to the $\Omega$-deformation of a four-dimensional $\mathcal{N}=2$ SCFT on $\mathbb{R}^4$. The solution can be constructed in the five-dimensional ${\cal N}=4^+$ gauged supergravity and has a…

High Energy Physics - Theory · Physics 2019-08-01 Nikolay Bobev , Fridrik Freyr Gautason , Kiril Hristov

We use complex semiclassical method to compute scattering amplitudes of a point particle in dilaton gravity with a boundary. This model has nonzero minimal black hole mass $M_{cr}$. We find that at energies below $M_{cr}$ the particle…

High Energy Physics - Theory · Physics 2020-09-04 Maxim Fitkevich , Dmitry Levkov , Sergey Sibiryakov

In this research, we explore the semiclassical approximation to canonical quantum gravity and how a classical background emerges from the Wheeler-DeWitt (WDW) states. By employing the Wigner functional analysis, we derive the backreacted…

General Relativity and Quantum Cosmology · Physics 2023-09-18 Rifath Khan

The formation and evaporation of small AdS black holes in a theory with a holographic dual is governed by the usual rules of quantum mechanics. The eigenstate thermalization hypothesis explains the validity of semiclassical gravity for…

High Energy Physics - Theory · Physics 2022-05-27 David A. Lowe , Larus Thorlacius

We find a class of new supersymmetric Euclidean solutions in four-dimensional maximal gauged supergravity. The holographic dual description of these backgrounds is given by a mass-deformation of the ABJM theory with general values for the…

High Energy Physics - Theory · Physics 2019-05-01 Nikolay Bobev , Vincent S. Min , Krzysztof Pilch , Felipe Rosso

We study correlation functions of two AdS giant gravitons in AdS$_5\times S^5$ and a BPS supergravity mode using holography. In the gauge theory these are described by BPS correlators of Schur polynomials of fully-symmetric representations…

High Energy Physics - Theory · Physics 2023-06-07 Adolfo Holguin , Wayne W. Weng

We consider ($d+n+1$)-dimensional solutions of Einstein gravity with constant negative curvature. Regular solutions of this type are expected to be dual to the ground states of ($d+n$)-dimensional holographic CFTs on $AdS_d\times S^n$.…

High Energy Physics - Theory · Physics 2023-11-23 Ahmad Ghodsi , Elias Kiritsis , Francesco Nitti

We calculate the holographic three-point function parameters $\mathcal A$, $\mathcal B$, $\mathcal C$ in general $d\geqslant 4$ dimensions from higher curvature gravities up to and including the quartic order. The result is valid both for…

High Energy Physics - Theory · Physics 2023-11-10 Fei-Yu Chen , H. Lu

We investigate emergent gravity extending the paradigm of the AdS/CFT correspondence. The emergent graviton is associated to the (dynamical) expectation value of the energy-momentum tensor. We derive the general effective description of…

High Energy Physics - Theory · Physics 2023-02-28 Panos Betzios , Elias Kiritsis , Vasilis Niarchos

Holographic RG flows are studied in an Einstein-dilaton theory with a general potential. The superpotential formalism is utilized in order to characterize and classify all solutions that are associated to asymptotically AdS space-times.…

High Energy Physics - Theory · Physics 2018-01-08 Elias Kiritsis , Francesco Nitti , Leandro Silva Pimenta

We analyse a simple example of a holographically dual pair in which we topologically twist both theories. The holography is based on the two-dimensional N=2 supersymmetric Liouville conformal field theory that defines a unitary bulk quantum…

High Energy Physics - Theory · Physics 2020-04-22 Songyuan Li , Jan Troost

We consider 4d N=1 SCFTs, topologically twisted on compact constant curvature Riemann surfaces, giving rise to 2d N=(0,2) SCFTs. The exact R-current of these 2d SCFT extremizes the central charge c_{2d}, similarly to the 4d picture, where…

High Energy Physics - Theory · Physics 2017-08-02 Antonio Amariti , Chiara Toldo

Two remarkable facts about JT two-dimensional dilaton-gravity have been recently uncovered: this theory is dual to an ensemble of quantum mechanical theories; and such ensemble is described by a random matrix model which itself may be…

High Energy Physics - Theory · Physics 2023-12-05 Paolo Gregori , Ricardo Schiappa

Holographic inflation posits that the inflationary deSitter era of our universe is approximately described by a dual three-dimensional Euclidean CFT living on the spatial slice at the end of inflation. We point out that the BICEP2 results…

High Energy Physics - Theory · Physics 2014-08-04 Finn Larsen , Andrew Strominger