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It has been proposed that the areas of marginally trapped or anti-trapped surfaces (also known as leaves of holographic screens) may encode some notion of entropy. To connect this to AdS/CFT, we study the case of marginally trapped surfaces…

High Energy Physics - Theory · Physics 2018-04-04 Brianna Grado-White , Donald Marolf

The entanglement entropy has been historically studied by many authors in order to obtain quantum mechanical interpretations of the gravitational entropy. The discovery of AdS/CFT correspondence leads to the idea of holographic entanglement…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Tadashi Takayanagi

We extend the calculations of holographic entanglement entropy in AdS(4) for entangling curves with singular non-smooth points that generalize cusps. Our calculations are based on minimal surfaces that correspond to elliptic solutions of…

High Energy Physics - Theory · Physics 2018-04-10 Georgios Pastras

In this paper, minimal surface in $q$-deformed $AdS_5\times S^5$ with boundary a cusp is studied in detail. This minimal surface is dual to cusped Wilson loop in the dual field theory. We found that the area of the minimal surface has both…

High Energy Physics - Theory · Physics 2015-09-29 Nan Bai , Hui-Huang Chen , Jun-Bao Wu

We discuss two methods that, through a combination of cyclically gluing copies of a given $n$-party boundary state in AdS/CFT and a canonical purification, creates a bulk geometry that contains a boundary homologous minimal surface with…

High Energy Physics - Theory · Physics 2019-10-21 Ning Bao , Newton Cheng

We propose a codimension two holography between a gravitational theory on a $d+1$ dimensional wedge spacetime and a $d-1$ dimensional CFT which lives on the corner of the wedge. Formulating this as a generalization of AdS/CFT, we explain…

High Energy Physics - Theory · Physics 2021-01-21 Ibrahim Akal , Yuya Kusuki , Tadashi Takayanagi , Zixia Wei

It is a long-standing conjecture that any CFT with a large central charge and a large gap $\Delta_{\text{gap}}$ in the spectrum of higher-spin single-trace operators must be dual to a local effective field theory in AdS. We prove a sharp…

High Energy Physics - Theory · Physics 2021-12-08 Simon Caron-Huot , Dalimil Mazac , Leonardo Rastelli , David Simmons-Duffin

In analogy to the first law of thermodynamics, the increase in entanglement entropy $\delta S$ of a conformal field theory (CFT) is proportional to the increase in energy, $\delta E$, of the subsystem divided by an effective entanglement…

High Energy Physics - Theory · Physics 2016-07-13 G. C. Levine , B. Caravan

In recent years, the holographic duality between $T\bar{T}$-deformed conformal field theory (CFT) and Anti-de Sitter (AdS) spacetime with finite radial cutoff has received significant attention. The study of $T\bar{T}$ deformation within…

High Energy Physics - Theory · Physics 2025-07-10 Jing-Cheng Chang , Song He , Yu-Xiao Liu , Long Zhao

We introduce a quantity, called pseudo entropy, as a generalization of entanglement entropy via post-selection. In the AdS/CFT correspondence, this quantity is dual to areas of minimal area surfaces in time-dependent Euclidean spaces which…

High Energy Physics - Theory · Physics 2021-01-27 Yoshifumi Nakata , Tadashi Takayanagi , Yusuke Taki , Kotaro Tamaoka , Zixia Wei

Quantities computed by minimal cuts, such as entanglement entropies achievable by the Ryu-Takayanagi proposal in the AdS/CFT correspondence, are constrained by linear inequalities. We prove a previously conjectured property of all such…

High Energy Physics - Theory · Physics 2026-02-10 Bartlomiej Czech , Yichen Feng , Xianlai Wu , Minjun Xie

The eikonalized parton-parton scattering amplitude at large $\sqrt{s}$ and large impact parameter, is dominated by the exchange of a hyperbolic surface in walled AdS. Its analytical continuation yields a worldsheet instanton that is at the…

High Energy Physics - Phenomenology · Physics 2019-08-14 Yizhuang Liu , Ismail Zahed

We study an anisotropic scale transformation in the worldsheet description of D3-branes in Type IIB theory, and show that the transformation is really a symmetry in a region near D3-branes. AdS/CFT correspondence follows from this symmetry.…

High Energy Physics - Theory · Physics 2008-11-26 Hikaru Kawai , Takao Suyama

We introduce a simple geometrical construction similar to covariant holographic entanglement entropy but with the addition of a new term proportional to boundary region volume. This new procedure has properties strongly resembling classical…

High Energy Physics - Theory · Physics 2019-05-10 Sean J. Weinberg

The algebraic curve (finite-gap) classification of rotating string solutions was very important in the development of integrability through comparison with analogous structures at weak coupling. The classification was based on the analysis…

High Energy Physics - Theory · Physics 2015-06-04 Romuald A. Janik , Pawel Laskos-Grabowski

We investigate the holographic entanglement entropy in the Rindler-AdS space-time to obtain an exact solution for the corresponding minimal surface. Moreover, the holographic entanglement entropy of the charged single accelerated AdS Black…

High Energy Physics - Theory · Physics 2019-07-02 Masoumeh Tavakoli , Behrouz Mirza , Zeinab Sherkatghanad

We reconsider the one-loop correction to the holographic entanglement entropy in $AdS_{3}/CFT_{2}$ by analysing the contributions due to a bulk higher spin $s$ current or a scalar field with scaling dimension $\Delta$. We consider the…

High Energy Physics - Theory · Physics 2015-06-18 Matteo Beccaria , Guido Macorini

We demonstrate the equivalence of two different conjectures in the literature for the holographic entanglement negativity in AdS$_3$/CFT$_2$, modulo certain constants. These proposals involve certain algebraic sums of bulk geodesics…

High Energy Physics - Theory · Physics 2024-03-12 Jaydeep Kumar Basak , Vinay Malvimat , Himanshu Parihar , Boudhayan Paul , Gautam Sengupta

We show that the anti-de Sitter(AdS) space naturally emerges from the conformal field theory(CFT). The behavior of the leading divergent term in the entanglement entropy implies the underlying AdS geometry. The coefficient of the leading…

High Energy Physics - Theory · Physics 2017-09-22 Seungjoon Hyun , Sang-A Park

Defining finite entanglement entropy for a subregion in quantum field theory requires the introduction of two logically independent scales: an IR scale that controls the size of the subregion, and a UV cut-off. In AdS/CFT, the IR scale is…

High Energy Physics - Theory · Physics 2024-05-30 Abir Ghosh , Chethan Krishnan