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We show that a suitably chosen position-momentum commutator can elegantly describe many features of gravity, including the IR/UV correspondence and dimensional reduction (`holography'). Using the most simplistic example based on dimensional…

High Energy Physics - Theory · Physics 2014-11-18 Mark G. Jackson

The theoretical basis of the phenomenon of effective and exact dimensional reduction, or holographic correspondence, is investigated in a wide variety of physical systems. We first derive general inequalities linking quantum systems of…

Statistical Mechanics · Physics 2013-01-16 Zohar Nussinov , Gerardo Ortiz , Emilio Cobanera

According to the holography principle (due to G.`t Hooft, L. Susskind, J. Maldacena, et al.), quantum gravity and string theory on certain manifolds with boundary can be studied in terms of a conformal field theory on the boundary. Only a…

High Energy Physics - Theory · Physics 2007-05-23 Yuri I. Manin , Matilde Marcolli

As was recently pointed out by Cadoni, a certain class of two-dimensional gravitational theories will exhibit (black hole) thermodynamic behavior that is reminiscent of a free field theory. In the current letter, a direct correspondence is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. J. M. Medved

In this note we discuss a possible holographic dual of the two dimensional conformal field theory associated with the world-sheet of a macroscopic superstring in a compactification on four-torus. We assume the near horizon geometry of the…

High Energy Physics - Theory · Physics 2009-02-09 Mohsen Alishahiha , Subir Mukhopadhyay

Following a recent suggestion by Randall and Sundrum, we consider string compactification scenarios in which a compact slice of AdS-space arises as a subspace of the compactification manifold. A specific example is provided by the type II…

High Energy Physics - Theory · Physics 2009-10-31 Herman Verlinde

We introduce a simple theoretical model that describes the interaction of light with optical metamaterials in terms of interfering optical plane waves. In this model, a metamaterial is considered to consist of planar arrays of densely…

Optics · Physics 2013-11-25 P. Grahn , A. Shevchenko , M. Kaivola

Light-Front Holography is a remarkable consequence of the correspondence between string theory in AdS space and conformal field theories in physical-space time. It allows string modes $\Phi(z)$ in the AdS fifth dimension to be precisely…

High Energy Physics - Phenomenology · Physics 2008-04-24 Stanley J. Brodsky , Guy F. de Teramond

In this work we review at an elementary level the origin, main ideas and present status of the so called holographic principle. This principle, even in the absence of a precise formulation, is seen by many people as a major clue for the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Antonio Dobado

The holographic correspondence creates an interface between classical gravitational physics and the dynamics of strongly interacting quantum field theories. This chapter will relate the physics of charged, asymptotically Anti-de Sitter…

High Energy Physics - Theory · Physics 2011-07-11 Sean A. Hartnoll

The holographic solution is a new exact solution to the Einstein field equations. It describes a compact self-gravitating object with properties similar to a black hole. Its entropy and temperature at infinity are proportional to the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michael Petri

The Hamiltonian of classical anti-de Sitter gravity is a pure boundary term on-shell. If this remains true in non-perturbative quantum gravity then i) boundary observables will evolve unitarily in time and ii) the algebra of boundary…

General Relativity and Quantum Cosmology · Physics 2009-02-18 Donald Marolf

Cosmic strings provide a radically different paradigm for the formation of structure to the prevailing inflationary one. They afford some extra technical complications: for example, the calculation of the power spectrum of matter and…

Astrophysics · Physics 2007-05-23 Mark Hindmarsh , Mairi Sakellariadou , Graham R. Vincent

The van der Waals heterostructures are a fertile frontier for discovering emergent phenomena in condensed matter systems. They are constructed by stacking elements of a large library of two-dimensional materials, which couple together…

Mesoscale and Nanoscale Physics · Physics 2020-05-22 William Dorrell , Harris Pirie , S. Minhal Gardezi , Nathan C. Drucker , Jennifer E. Hoffman

We revisit the cubic interaction of IIB string theory in the maximally supersymmetric pp-wave background. In the supergravity limit, we show that detailed comparison with AdS supergravity determine the vertex completely. Extension of this…

High Energy Physics - Theory · Physics 2010-04-05 Sangmin Lee , Rodolfo Russo

Structuring optical materials on a nanometer scale can lead to artificial effective media, or metamaterials, with strongly altered optical behavior. Metamaterials can provide a wide range of linear optical properties such as negative…

We examine various aspects of the conjectured duality between warped AdS$_5$ geometries with boundary branes and strongly coupled (broken) conformal field theories coupled to dynamical gravity. We also examine compactifications with 5-d…

High Energy Physics - Theory · Physics 2009-10-31 Nima Arkani-Hamed , Massimo Porrati , Lisa Randall

Exponential regularization of orthogonal and Anti-de Sitter (AdS) space is presented based on noncommutative geometry. We show that an adequately adopted noncommutative deformation of geometry makes the holography of higher dimensional…

High Energy Physics - Theory · Physics 2009-10-31 Zhe Chang

The holographic dual of a gravitational theory around the de Sitter background is argued to be a Euclidean conformal gravity theory in one fewer dimensions. The measure for the holographic theory naturally includes a sum over topologies as…

High Energy Physics - Theory · Physics 2016-01-27 Atreya Chatterjee , David A. Lowe

In this paper we give an overview of some recent progress in using holography to study various far-from-equilibrium condensed matter systems. Non-equilibrium problems are notoriously difficult to deal with, not to mention at strong coupling…

High Energy Physics - Theory · Physics 2018-11-27 Hong Liu , Julian Sonner