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We investigate sub-AdS scale locality in a weakly coupled toy model of the AdS$_3$/CFT$_2$ correspondence. We find that this simple model has the correct density of states at low and high energies to be dual to Einstein gravity coupled to…

高能物理 - 理论 · 物理学 2017-05-24 Alexandre Belin , Ben Freivogel , Robert A. Jefferson , Laurens Kabir

In this paper, we show that the adaptive multidimensional increment ratio estimator of the long range memory parameter defined in Bardet and Dola (2012) satisfies a central limit theorem (CLT in the sequel) for a large semiparametric class…

统计理论 · 数学 2012-12-19 Jean-Marc Bardet , Béchir Dola

We prove a precise form of AdS bulk locality by deriving analytical two-sided bounds on bulk Wilson coefficients. Our bounds are on the Wilson coefficients themselves, rather than their ratios, as is typically found in the literature.…

高能物理 - 理论 · 物理学 2023-08-22 Faizan Bhat , Ahmadullah Zahed

The (measure-theoretical) entropy of a diffeomorphism along an expanding invariant foliation is the rate of complexity generated by the diffeomorphism along the leaves of the foliation. We prove that this number varies upper…

动力系统 · 数学 2018-12-13 Jiagang Yang

The conformal algebra in 2D (Diff($S^{1}$)$\oplus$Diff($S^{1}$)) is shown to be preserved under a nonlinear map that mixes both chiral (holomorphic) generators $T$ and $\bar{T}$. It depends on a single real parameter and it can be regarded…

高能物理 - 理论 · 物理学 2023-01-04 David Tempo , Ricardo Troncoso

It is argued that the general four-dimensional extremal Kerr-Newman-AdS-dS black hole is holographically dual to a (chiral half of a) two-dimensional CFT, generalizing an argument given recently for the special case of extremal Kerr.…

高能物理 - 理论 · 物理学 2009-04-17 Thomas Hartman , Keiju Murata , Tatsuma Nishioka , Andrew Strominger

We introduce a generalization of local density of states which is "windowed" with respect to position and energy, called the windowed local density of states (wLDOS). This definition generalizes the usual LDOS in the sense that the usual…

数学物理 · 物理学 2022-10-25 Terry A. Loring , Jianfeng Lu , Alexander B. Watson

Modular invariance imposes rigid constrains on the partition functions of two-dimensional conformal field theories. Many fundamental results follow strictly from modular invariance, giving rise to the numerical modular bootstrap program.…

高能物理 - 理论 · 物理学 2021-07-06 Anatoly Dymarsky , Alfred Shapere

Spin-current density functional theory (SCDFT) is a formally exact framework designed to handle the treatment of interacting many-electron systems including spin-orbit coupling at the level of the Pauli equation. In practice, robust and…

Covariant density functional theory (CDFT) is a modern theoretical tool for the description of nuclear structure phenomena. The current investigation aims at the global assessment of the accuracy of the description of the ground state…

核理论 · 物理学 2015-06-19 S. E. Agbemava , A. V. Afanasjev , D. Ray , P. Ring

We construct entangled microstates of a pair of holographic CFTs whose dual semiclassical description includes big bang-big crunch AdS cosmologies in spaces without boundaries. The cosmology is supported by inhomogeneous heavy matter and it…

高能物理 - 理论 · 物理学 2025-07-15 Stefano Antonini , Martin Sasieta , Brian Swingle

Composite quantum materials are the ideal examples of multifunctional systems which simultaneously host more than one novel quantum phenomenon in physics. Here, we present a combined theoretical and experimental study to demonstrate the…

The exact universal functional of integer charge leads to an extension to fractional charge asymptotically when it is applied to a system made of asymptotically separated densities. The extended functional is asymptotically local and is…

化学物理 · 物理学 2024-12-17 Jing Kong

We study pseudo entropy for a particular linear combination of entangled states in qubit systems, two-dimensional free conformal field theories (CFT), and two-dimensional holographic CFT. We observe phenomena that the pseudo entropy can be…

高能物理 - 理论 · 物理学 2022-06-30 Yutaka Ishiyama , Riku Kojima , Sho Matsui , Kotaro Tamaoka

In a recent paper [Phys.Rev.Lett. 82, 3665 (1999)], magnetic field driven spin transitions in fractional quantum Hall (FQH) states were reported, and in particular, at filling factors 2/3 and 2/5, weak features were observed at half…

介观与纳米尺度物理 · 物理学 2016-08-31 V. M. Apalkov , T. Chakraborty , P. Pietilainen , K. Niemela

Predicting interfacial thermodynamics across molecular and continuum scales remains a central challenge in computational science. Classical density functional theory (cDFT) provides a first-principles route to connect microscopic…

计算物理 · 物理学 2026-01-01 Edoardo Monti , Peter Yatsyshin , Konstantinos Gkagkas , Andrew B. Duncan

In this paper, we show that the central limit theorem (CLT) satisfied by the data-driven Multidimensional Increment Ratio (MIR) estimator of the memory parameter d established in Bardet and Dola (2012) for d $\in$ (--0.5, 0.5) can be…

统计理论 · 数学 2016-01-22 Jean-Marc Bardet , Béchir Dola

Using arguments built on ergodicity, we derive an analytical expression for the Renyi entanglement entropies corresponding to the finite-energy density eigenstates of chaotic many-body Hamiltonians. The expression is a universal function of…

统计力学 · 物理学 2019-03-12 Tsung-Cheng Lu , Tarun Grover

We propose a method for analyzing two-dimensional symmetry protected topological (SPT) wavefunctions using a correspondence with conformal field theories (CFTs) and integrable lattice models. This method generalizes the CFT approach for the…

强关联电子 · 物理学 2016-03-09 Thomas Scaffidi , Zohar Ringel

We compute the contribution of the vacuum Virasoro representation to the genus-two partition function of an arbitrary CFT with central charge $c>1$. This is the perturbative pure gravity partition function in three dimensions. We employ a…

高能物理 - 理论 · 物理学 2015-11-19 Matthew Headrick , Alexander Maloney , Eric Perlmutter , Ida G. Zadeh