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We study the low-energy dynamics of systems with exact and approximate higher-form symmetries using gauge/gravity duality. These symmetries are realised holographically via Maxwell-type theories for massless and massive $p$-forms in AlAdS…

High Energy Physics - Theory · Physics 2025-10-09 André Oliveira Pinheiro

Many non-relativistic Quantum Field Theories with conserved particle number share a common set of symmetries: time dependent spatial diffeomorphisms acting on the background metric and U(1) invariance acting on the background fields which…

High Energy Physics - Theory · Physics 2015-06-12 Stefan Janiszewski , Andreas Karch

We build a holographic description of non-relativistic system for superconductivity in strongly interacting condensed matter via gauge/gravity duality. We focus on the phase transition and give an example to show that a simple gravitational…

High Energy Physics - Theory · Physics 2009-11-03 Shi Pu , Sang-Jin Sin , Yang Zhou

Hyperbolic metamaterials were originally introduced to overcome the diffraction limit of optical imaging. Soon thereafter it was realized that they demonstrate a number of novel phenomena resulting from the broadband singular behavior of…

Optics · Physics 2017-03-10 Igor I. Smolyaninov , Vera N. Smolyaninova

We derive basic differential geometric formulae for surfaces in hyperbolic space represented as envelopes of horospheres. The dual notion of parallel hypersurfaces is also studied. The representation is applied to prove existence and…

Differential Geometry · Mathematics 2025-07-01 Charles L. Epstein

Gauge/gravity duality has proved to be a very successful tool for describing strongly coupled systems in particle physics and heavy ion physics. The application of the gauge/gravity duality to quantum matter is a promising candidate to…

High Energy Physics - Theory · Physics 2012-10-09 Johanna Erdmenger , Patrick Kerner , Steffen Muller

We present a gravity dual to a quantum material with tilted Dirac cone in 2+1 dimensional spacetime. In this many-body system the electronics degrees of freedom are strongly-coupled, constitute a Dirac fluid and admit an effective…

High Energy Physics - Theory · Physics 2023-08-16 A. Moradpouri , S. A. Jafari , Mahdi Torabian

Vacuum polarization of a massive scalar field in the background of a two-dimensional version of a spinning cosmic string is investigated. It is shown that when the `radius of the universe' is such that spacetime is globally hyperbolic the…

General Relativity and Quantum Cosmology · Physics 2012-08-27 V. A. De Lorenci , E. S. Moreira,

Modern advances in transformation optics and electromagnetic metamaterials made possible experimental demonstrations of highly unusual curvilinear optical spaces, such as various geometries necessary for electromagnetic cloaking. Recently…

Optics · Physics 2014-09-17 Igor I. Smolyaninov

In a spacetime divided into two regions $U_1$ and $U_2$ by a hypersurface $\Sigma$, a perturbation of the field in $U_1$ is coupled to perturbations in $U_2$ by means of the holographic imprint that it leaves on $\Sigma$. The linearized…

General Relativity and Quantum Cosmology · Physics 2019-01-10 José A. Zapata

Accessing the physics of strongly coupled metals in a controlled way is a challenging problem in theoretical condensed matter physics. In this paper, we revisit the possibility of understanding strongly coupled metals through a holographic…

Strongly Correlated Electrons · Physics 2024-06-10 Dominic V. Else

Virtuality and coherence determine the limits of applicability of holographic concepts in QCD. In light-front quantization, the invariant mass controls the off-shell behavior of a physical process and thus provides a measure of its…

High Energy Physics - Theory · Physics 2025-12-30 Guy F. de Teramond

It is well known that extraordinary photons in hyperbolic metamaterials may be described as living in an effective Minkowski spacetime, which is defined by the peculiar form of the strongly anisotropic dielectric tensor in these…

Optics · Physics 2022-04-15 Igor I. Smolyaninov , Vera N. Smolyaninova

Propagation of monochromatic extraordinary light in a hyperbolic metamaterial is identical to propagation of massive particles in a three dimensional effective Minkowski spacetime, in which the role of a timelike variable is played by one…

Optics · Physics 2015-12-16 Igor I. Smolyaninov

The idea of holography in gravity arose from the fact that the entropy of black holes is given by their surface area. The holography encountered in gauge/gravity duality has no such relation however; the boundary surface can be placed at an…

High Energy Physics - Theory · Physics 2015-06-05 Samir D. Mathur

Holographic duality relates two radically different kinds of theory: one with gravity, one without. The very existence of such an equivalence imposes strong consistency conditions which are, in the nature of the case, hard to satisfy.…

High Energy Physics - Theory · Physics 2015-12-09 Brett McInnes , Yen Chin Ong

We analytically obtain the free energy and thermodynamic geometry of holographic superconductors in $2+1$-dimensions. The gravitational theory in the bulk dual to this $2+1$-dimensional strongly coupled theory lives in the $3+1$-dimensions…

High Energy Physics - Theory · Physics 2016-12-23 Debabrata Ghorai , Sunandan Gangopadhyay

Two quantum theories which look different but are secretly describing the same low-energy physics are said to be dual to each other. When realized in the Topological Holography formalism, duality corresponds to changing the gapped boundary…

Strongly Correlated Electrons · Physics 2025-08-12 Robijn Vanhove , Vibhu Ravindran , David T. Stephen , Xiao-Gang Wen , Xie Chen

Hyperbolic metamaterials were originally introduced to overcome the diffraction limit of optical imaging. Soon thereafter it was realized that hyperbolic metamaterials demonstrate a number of novel phenomena resulting from the broadband…

Optics · Physics 2015-10-27 Igor I. Smolyaninov

One of the most exciting things in recent theoretical physics is the suspicion that gravity may be holographic, dual to some sort of quantum field theory living on the boundary with one less dimension. Such a suspicion has been supported…

High Energy Physics - Theory · Physics 2013-05-24 Yu Tian , Xiao-Ning Wu , Hongbao Zhang