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Boundaries in gauge field theories are known to be the locus of a wealth of interesting phenomena, as illustrated for example by the holographic principle or by the AdS/CFT and bulk-boundary correspondences. In particular, it has been…

General Relativity and Quantum Cosmology · Physics 2017-09-28 Marc Geiller

A holographic description on antiferromagnetic quantum phase transition (QPT) induced by magnetic field and the criticality in the vicinity of quantum critical point (QCP) have been investigated numerically recently. In this paper, we show…

High Energy Physics - Theory · Physics 2015-09-02 Rong-Gen Cai , Run-Qiu Yang , F. V. Kusmartsev

This paper presents a comprehensive perspective of the metric of quantum states with a focus on the background independent metric structures. We also explore the possibilities of geometrical formulations of quantum mechanics beyond the…

Quantum Physics · Physics 2008-03-30 Aalok

Flat space holography is an open and hard problem existing several different approaches, which may finally turn out to be consistent with each other, in the literature to tackle it. Focusing on how bulk emergent spacetime is encoded in…

High Energy Physics - Theory · Physics 2023-12-01 Yuefeng Liu

The usual concepts of topological physics, such as the Berry curvature, cannot be applied directly to non-Hermitian systems. We show that another object, the quantum metric, which often plays a secondary role in Hermitian systems, becomes a…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 D. D. Solnyshkov , C. Leblanc , L. Bessonart , A. Nalitov , J. Ren , Q. Liao , F. Li , G. Malpuech

The Swampland Program aims to delineate the space of consistent low-energy effective field theories (EFTs) that admit a UV completion in quantum gravity from those that do not. In parallel, holography, and particularly the AdS/CFT…

High Energy Physics - Theory · Physics 2026-02-03 Sudhaker Upadhyay , Alexander Reshetnyak , Pavel Moshin , Ricardo Castro

The AdS/CFT correspondence realises the holographic principle where information in the bulk of a space is encoded at its border. We are yet a long way from a full mathematical construction of AdS/CFT, but toy models in the form of…

High Energy Physics - Theory · Physics 2022-04-21 Harriet Apel , Tamara Kohler , Toby Cubitt

It is shown that an algebraically defined holographic projection of a QFT onto the lightfront changes the local quantum properties in a very drastic way. The expected ubiquitous vacuum polarization characteristic of QFT is confined to the…

High Energy Physics - Theory · Physics 2008-11-26 Bert Schroer

We explain how to relate the ideas of Carroll geometry, matrix theory on instantonic objects, and infinite boost limits of M-theory. Based on these new insights, we explore the implications for possible holographic constructions involving a…

High Energy Physics - Theory · Physics 2026-02-23 Chris D. A. Blair , Niels A. Obers , Ziqi Yan

These lectures review recent developments in our understanding of the emergence of local bulk physics in AdS/CFT. The primary topics are sufficient conditions for a conformal field theory to have a semiclassical dual, bulk reconstruction,…

High Energy Physics - Theory · Physics 2018-08-01 Daniel Harlow

In this paper, we extend the study of wave packets from the AdS$_3$/CFT$_2$ correspondence to AdS$_4$/CFT$_3$ and examine properties of their energy density. We find that, while the energy still localizes on the light cone, its spatial…

High Energy Physics - Theory · Physics 2025-03-31 Norihiro Tanahashi , Seiji Terashima , Shiki Yoshikawa

In this paper we apply the thermodynamics method to investigate the holographic pictures for the BTZ black hole, the spacelike and the null warped black holes in three-dimensional topologically massive gravity (TMG) and new massive gravity…

High Energy Physics - Theory · Physics 2015-03-13 Bin Chen , Jia-ju Zhang , Jian-dong Zhang , De-liang Zhong

It is well-known that the entanglement entropies for spacelike subregions, and the associated modular Hamiltonians play a crucial role in the bulk reconstruction program within Anti de-Sitter (AdS) holography. Explicit examples of HKLL map…

High Energy Physics - Theory · Physics 2024-03-12 Avijit Das , Shivrat Sachdeva , Debajyoti Sarkar

In 1993 Keski-Vakkuri and Wen introduced a model for the fractional quantum Hall effect based on multilayer two-dimensional electron systems satisfying quasi-periodic boundary conditions. Such a model is essentially specified by a choice of…

Algebraic Geometry · Mathematics 2025-03-11 Igor Burban , Semyon Klevtsov

We review the various aspects of the 3D Einstein gravity theory with a negative cosmological constant and its boundary description. We also explore its connections to CFTs, modular symmetry, and holography. It is worth noting that this…

High Energy Physics - Theory · Physics 2024-03-29 Chen-Te Ma

In a previous paper [S.Q. Wu, Phys. Rev. D 83, 121502(R) (2011)], a new kind of metric ansatz was found to fairly describe all already known black hole solutions in the ungauged Kaluza-Klein (KK) supergravity theories. That metric ansatz…

High Energy Physics - Theory · Physics 2015-06-01 Shuang-Qing Wu , He Wang

We study the thermodynamics of near horizon near extremal Kerr (NHNEK) geometry within the framework of $AdS_2/CFT_1$ correspondence. We start by shifting the horizon of near horizon extremal Kerr (NHEK) geometry by a general finite mass.…

High Energy Physics - Theory · Physics 2016-06-13 Ananda Guneratne , Leo Rodriguez , Sujeev Wickramasekara , Tuna Yildirim

Holography has taught us that spacetime is emergent and its properties depend on the entanglement structure of the dual theory. In this paper, we describe how changes in the entanglement due to a local projective measurement (LPM) on a…

High Energy Physics - Theory · Physics 2023-01-18 Stefano Antonini , Gregory Bentsen , ChunJun Cao , Jonathan Harper , Shao-Kai Jian , Brian Swingle

An explicit holographic correspondence between $AdS$ bulk and boundary quantum states is found in the form of a one to one mapping between scalar field creation/annihilation operators. The mapping requires the introduction of arbitrary…

High Energy Physics - Theory · Physics 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga

The metric underlying the mixed state geometric phase in unitary and nonunitary evolution [Phys. Rev. Lett. {\bf 85}, 2845 (2000); Phys. Rev. Lett. {\bf 93}, 080405 (2004)] is delineated. An explicit form for the line element is derived and…

Quantum Physics · Physics 2020-03-25 Erik Sjöqvist