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We obtain a dynamical formulation of two-dimensional gravity from a non-Einsteinian phase in higher dimensions $(D=3+2n)$. The formalism is associated with (at least) one extra dimension of vanishing proper length, thus being inequivalent…

General Relativity and Quantum Cosmology · Physics 2021-12-30 Suvikranth Gera , Sandipan Sengupta

We argue that the holographic formula relating entanglement entropy and the area of a minimal surface is the key to define the area of surfaces in the (emergent) spacetime from the dual theory on the boundary. So we promote the entropy/area…

High Energy Physics - Theory · Physics 2014-04-14 Marcelo Botta Cantcheff

Subdominant contributions to the entanglement entropy of quantum fields include logarithmic corrections to the area law characterized by universal coefficients that are independent of the ultraviolet regulator and capture detailed…

High Energy Physics - Theory · Physics 2021-12-28 Rodolfo Soldati , L. S. Menicucci , N. Yokomizo

We provide a higher integrability result for the gradient of positive solutions to Trudinger's equation (also known as the doubly non-linear equation) for the range $p\in [2,\infty)$. The estimate is achieved by refining a construction of…

Analysis of PDEs · Mathematics 2022-03-22 Olli Saari , Sebastian Schwarzacher

We study entanglement entropy in two-dimensional conformal field theories with a gravitational anomaly. In theories with gravity duals, this anomaly is holographically represented by a gravitational Chern-Simons term in the bulk action. We…

High Energy Physics - Theory · Physics 2015-06-19 Alejandra Castro , Stephane Detournay , Nabil Iqbal , Eric Perlmutter

To understand an emergent spacetime is to understand the emergence of locality. Entanglement entropy is a powerful diagnostic of locality, because locality leads to a large amount of short distance entanglement. Two dimensional string…

High Energy Physics - Theory · Physics 2015-09-23 Sean A. Hartnoll , Edward Mazenc

We compute the macroscopic entropy of the supersymmetric rotating dyonic strings carrying linear momentum in 6D (1,0) supergravity with curvature squared corrections. Our calculation is based on Sen's entropy function formalism applied to…

High Energy Physics - Theory · Physics 2021-01-28 Yi Pang

We consider the equation of motion in the gravity sector that arises from the non-linear realisation of the semi-direct product of E11 and its first fundamental representation, denoted by l1, in four dimensions. This equation is first order…

High Energy Physics - Theory · Physics 2014-11-05 Peter West

Using the proposal for holographic entanglement entropy in higher derivative gravities, we compute holographic entanglement entropy for the conformal gravity in four dimensions which turns out to be finite. However, if one subtracts the…

High Energy Physics - Theory · Physics 2014-03-05 Mohsen Alishahiha , Amin Faraji Astaneh , M. Reza Mohammadi Mozaffar

We calculate the expectation value of the Wilson line in the pure AdS$_3$ Einstein gravity theory and also the entanglement entropy in the boundary theory. Our one-loop calculation of entanglement entropy shows a shift of the central charge…

High Energy Physics - Theory · Physics 2020-07-15 Xing Huang , Chen-Te Ma , Hongfei Shu

We compute in detail how deviations from Einstein gravity at the inflation energy scale could appear as non-Gaussian features in the sky. To illustrate this we use multi-field $\alpha-$attractor models in the framework of supergravity to…

Cosmology and Nongalactic Astrophysics · Physics 2018-11-14 Nicola Bartolo , Domenico Matteo Bianco , Raul Jimenez , Sabino Matarrese , Licia Verde

We derive the geodesic equation for determining the Ryu-Takayanagi surface in $AdS_3$ deformed by single trace $\mu T \bar T + \varepsilon_+ J \bar T + \varepsilon_- T \bar J$ deformation for generic values of $(\mu, \varepsilon_+,…

High Energy Physics - Theory · Physics 2021-03-17 Soumangsu Chakraborty , Akikazu Hashimoto

The BFSS matrix model provides an example of gauge-theory / gravity duality where the gauge theory is a model of ordinary quantum mechanics with no spatial subsystems. If there exists a general connection between areas and entropies in this…

High Energy Physics - Theory · Physics 2020-04-15 Tarek Anous , Joanna L. Karczmarek , Eric Mintun , Mark Van Raamsdonk , Benson Way

The duality between a $d$-dimensional conformal field theory with relevant deformation and a gravity theory on an asymptotically AdS$_{d+1}$ geometry, has become a suitable tool in the investigation of the emergence of gravity from quantum…

High Energy Physics - Theory · Physics 2018-04-24 Dongmin Jang , Yoonbai Kim , O-Kab Kwon , D. D. Tolla

We calculate quantum corrections to holographic entanglement entropy in the proposed duality between $T\bar{T}$-deformed holographic 2D CFTs and gravity in AdS$_{3}$ with a finite cutoff. We first establish the dictionary between the two…

High Energy Physics - Theory · Physics 2020-05-20 William Donnelly , Elise LePage , Yan-Yan Li , Andre Pereira , Vasudev Shyam

We compute the entropy of entanglement of two blocks of L spins at a distance d in the ground state of an Ising chain in an external transverse magnetic field. We numerically study the von Neumann entropy for different values of the…

Quantum Physics · Physics 2009-01-21 P. Facchi , G. Florio , C. Invernizzi , S. Pascazio

While most fundamental interactions in nature are known to be mediated by quantized fields, the possibility has been raised that gravity may behave differently. Making this concept precise enough to test requires consistent models. Here we…

Quantum Physics · Physics 2023-01-23 Daniel Carney , Jacob M. Taylor

Assuming that the dominant contribution, to the entropy due to entanglement across a spherical hypersurface, comes from the near horizon degrees of freedom, we analytically derive the entropy of a free massless scalar field in Minkowski…

General Relativity and Quantum Cosmology · Physics 2015-08-19 Suman Ghosh

We compute the beta functions of Higher Derivative Gravity within the Functional Renormalization Group approach, going beyond previously studied approximations. We find that the presence of a nontrivial Newtonian coupling induces, in…

High Energy Physics - Theory · Physics 2020-10-23 Kevin Falls , Nobuyoshi Ohta , Roberto Percacci

We derive positivity bounds on EFT coefficients in theories where boosts are spontaneously broken. We employ the analytic properties of the retarded Green's function of conserved currents (or of the stress-energy tensor) and assume the…

High Energy Physics - Theory · Physics 2022-10-19 Paolo Creminelli , Oliver Janssen , Leonardo Senatore
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