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We enumerate factorizations of a Coxeter element in a well generated complex reflection group into arbitrary factors, keeping track of the fixed space dimension of each factor. In the infinite families of generalized permutations, our…

组合数学 · 数学 2024-02-07 Joel Brewster Lewis , Alejandro H. Morales

There are various definitions of the concept of complexity in Quantum Field Theory as well as for finite quantum systems. For several of them there are conjectured holographic bulk duals. In this work we establish an entry in the AdS/CFT…

高能物理 - 理论 · 物理学 2023-09-11 E. Rabinovici , A. Sánchez-Garrido , R. Shir , J. Sonner

We study the fixed points of outer-totalistic cellular automata on sparse random regular graphs. These can be seen as constraint satisfaction problems, where each variable must adhere to the same local constraint, which depends solely on…

无序系统与神经网络 · 物理学 2024-12-06 Cédric Koller , Freya Behrens , Lenka Zdeborová

We propose a new modeling paradigm for large dimensional aggregates of stochastic systems by Generalized Factor Analysis (GFA) models. These models describe the data as the sum of a flocking plus an uncorrelated idiosyncratic component. The…

系统与控制 · 计算机科学 2014-03-27 Giulio Bottegal , Giorgio Picci

There are strong reasons to believe that global symmetries of quantum theories cannot be exact in the presence of gravity. While this has been argued at the qualitative level, establishing a quantitative statement is more challenging. In…

高能物理 - 理论 · 物理学 2020-01-29 Sylvain Fichet , Prashant Saraswat

We describe here a framework for a certain class of multiscale likelihood factorizations wherein, in analogy to a wavelet decomposition of an L^2 function, a given likelihood function has an alternative representation as a product of…

统计理论 · 数学 2007-06-13 Eric D. Kolaczyk , Robert D. Nowak

We investigate contributions of spacetime wormholes, describing baby universe emission and absorption, to calculations of entropies and correlation functions, for example those based on the replica method. We find that the rules of the…

高能物理 - 理论 · 物理学 2020-10-28 Steven B. Giddings , Gustavo J. Turiaci

Black holes have an enormous underlying space of microstates, but universal macroscopic physics characterized by mass, charge and angular momentum as well as a causally disconnected interior. This leads two related puzzles: (1) How does the…

Separating active regions that are quiet from potentially eruptive ones is a key issue in Space Weather applications. Traditional classification schemes such as Mount Wilson and McIntosh have been effective in relating an active region…

太阳与恒星天体物理 · 物理学 2016-03-11 Kevin R. Moon , Veronique Delouille , Jimmy J. Li , Ruben De Visscher , Fraser Watson , Alfred O. Hero

We introduce Mellin amplitudes for correlation functions of $k$ scalar operators and one operator with spin in conformal field theories (CFT) in general dimension. We show that Mellin amplitudes for scalar operators have simple poles with…

高能物理 - 理论 · 物理学 2014-10-16 Vasco Gonçalves , João Penedones , Emilio Trevisani

We establish a correspondence between consistent comprehension schemes and complete orthogonal factorisation systems. The comprehensive factorisation of a functor between small categories arises in this way. Similar factorisation systems…

范畴论 · 数学 2018-01-08 Clemens Berger , Ralph M. Kaufmann

We investigate the emergent factorization of Hilbert space in the low-energy description of matrix models, addressing key aspects of the black hole information paradox. We examine the collective description for the low-energy sector of…

高能物理 - 理论 · 物理学 2024-04-19 Antal Jevicki , Debangshu Mukherjee , Junggi Yoon

We introduce a quantum notion of parallel transport between subsystems of a quantum state whose holonomies characterize the structure of entanglement. In AdS/CFT, entanglement holonomies are reflected in the bulk spacetime connection. When…

高能物理 - 理论 · 物理学 2018-07-13 Bartlomiej Czech , Lampros Lamprou , Leonard Susskind

The holographic principle, being a generic feature of quantum gravity, should allow for the consideration of dualities other than AdS/CFT. The AdS/BCFT correspondence, in which the dual field theory has local conformal symmetry and is…

高能物理 - 理论 · 物理学 2020-08-20 Sanjit Shashi

The problem of inferring a clustering of a data set has been the subject of much research in Bayesian analysis, and there currently exists a solid mathematical foundation for Bayesian approaches to clustering. In particular, the class of…

概率论 · 数学 2013-01-30 Tamara Broderick , Jim Pitman , Michael I. Jordan

We study gauging operations (or group extensions) in (smeared) boundary conformal field theories (BCFTs) and bulk conformal field theories, and their applications to various phenomena in topologically ordered systems. We apply the resultant…

高能物理 - 理论 · 物理学 2025-08-22 Yoshiki Fukusumi

We derive a factorization formula for boosted double resonant top-antitop pair production in $e^+e^-$ annihilation with a semileptonic top quark decay in the phase space region where the $b$-jet invariant mass is small. The decaying top…

高能物理 - 唯象学 · 物理学 2026-02-11 Andre H. Hoang , Christoph Regner

We construct a few Euclidean supergravity solutions with multiple boundaries. We consider examples where the corresponding boundary field theory is well defined on each boundary. We point out that these configurations are puzzling from the…

高能物理 - 理论 · 物理学 2009-11-10 Juan Maldacena , Liat Maoz

In the study of 2d (the space dimension) topological orders, it is well-known that bulk excitations are classified by unitary modular tensor categories. But these categories only describe the local observables on an open 2-disk in the long…

量子代数 · 数学 2018-06-18 Yinghua Ai , Liang Kong , Hao Zheng

Quantum models of spacetime have been conjectured to hypothetically allow for the formation of Planck scale wormholes. Building on the proposal of Morris, Thorne, and Yurtsever that such microscopic spacetime structures might be enlarged to…

广义相对论与量子宇宙学 · 物理学 2026-05-28 Philipp Dorau , Albert Much