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In this paper, we investigate discrete topological complexity $TC(K)$ introduced for situations where the configuration space possesses a simplicial structure. %Simplicial complexes are well-known and commonly used in programming for…

Algebraic Topology · Mathematics 2025-08-12 Ameneh Babaee , Hanieh Mirebrahimi , Soheila Fahimi

We consider holographic entanglement entropy in AdS black hole backgrounds by using the limit of large number of dimensions. By dividing the geometry to two patches (with one patch covering the vicinity of the black hole horizon and another…

High Energy Physics - Theory · Physics 2026-03-27 Parul Jain , Matti Järvinen

We provide the full classification, in arbitrary even and odd dimensions, of global conformal invariants, i.e., scalar densities in the spacetime metric and its derivatives that are invariant, possibly up to a total derivative, under local…

Mathematical Physics · Physics 2019-07-05 Nicolas Boulanger , Jordan François , Serge Lazzarini

Effective field theories consistent with quantum gravity obey surprising finiteness constraints, appearing in several distinct but interconnected forms. In this work we develop a framework that unifies these observations by proposing that…

High Energy Physics - Theory · Physics 2026-02-11 Thomas W. Grimm , David Prieto , Mick van Vliet

In these lecture notes we review some recent attempts at searching for non-Fermi liquids and novel quantum phase transitions in holographic systems using gauge/gravity duality. We do this by studying the simplest finite density system…

High Energy Physics - Theory · Physics 2017-08-23 Nabil Iqbal , Hong Liu , Márk Mezei

We employ holography to calculate the quantum complexity of $T\bar{T}$-deformation, utilizing the complexity equals volume (CV) and the complexity equals action (CA) proposals within the bulk spacetime with a finite radius cutoff. We find…

High Energy Physics - Theory · Physics 2024-10-14 Amin Faraji Astaneh

In this letter, we propose a relationship between the so-called Hubble-Lema\^{i}tre constant $H_{0}$ and holographic complexity related to the emergence of spacetime in quantum gravity. Such a result can represent an important step to…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Carlos Silva

Any unitary compact two-dimensional CFT with $c>1$ and no symmetries beyond Virasoro has a parametrically large density of primary states at large spin for $\bar{h}>\bar{h}_\text{extr}\sim \frac{c-1}{24}$, of a universal form determined by…

High Energy Physics - Theory · Physics 2020-01-29 Henry Maxfield

The holographic entanglement entropy functional for higher-curvature gravities involves a weighted sum whose evaluation, beyond quadratic order, requires a complicated theory-dependent splitting of the Riemann tensor components. Using the…

High Energy Physics - Theory · Physics 2021-05-05 Pablo Bueno , Joan Camps , Alejandro Vilar López

We calculate the holographic complexity of a family of hyperbolic black holes in an Einstein-Maxwell-dilaton (EMD) system by applying the complexity=action (CA) conjecture. While people previously studied spherical black holes in the same…

High Energy Physics - Theory · Physics 2024-07-26 Yongao Wang , Jie Ren

We show that Weyl-invariant dilaton gravity provides a description of black holes without classical spacetime singularities. Singularities appear due to ill-behaviour of gauge fixing conditions, one example being the gauge in which theory…

High Energy Physics - Theory · Physics 2016-11-15 Predrag Dominis Prester

We study holographic complexity for the rotating quantum BTZ black holes (quBTZ), the BTZ black holes with corrections from bulk quantum fields. Using double holography, the combined system of backreacted rotating BTZ black holes with…

High Energy Physics - Theory · Physics 2023-09-13 Bin Chen , Yuefeng Liu , Boyang Yu

The prediction of spacetime singularities, regions of infinite curvature where classical physics breaks down, is one of the most profound challenges in General Relativity (GR). In particular, black hole solutions such as the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Jose Pinedo Soto

Over the last few years enormous progress has been made in the numerical description of the inspiral and merger of binary black holes. A particular effort has gone into the modelling of the physical properties of the final black hole,…

General Relativity and Quantum Cosmology · Physics 2009-11-13 Luciano Rezzolla

Motivated by the understanding of holography as realized in tensor networks, we develop a bulk procedure that can be interpreted as generating a sequence of coarse-grained holographic states. The coarse-graining procedure involves…

High Energy Physics - Theory · Physics 2020-10-07 Chitraang Murdia , Yasunori Nomura , Pratik Rath

We examine holographic complexity in the doubly holographic model introduced in [arXiv:2006.04851][arXiv:2010.00018] to study quantum extremal islands. We focus on the holographic complexity=volume (CV) proposal for boundary subregions in…

High Energy Physics - Theory · Physics 2021-03-17 Juan Hernandez , Robert C. Myers , Shan-Ming Ruan

A holographic dual description of a 2+1 dimensional system of strongly interacting fermions at low temperature and finite charge density is given in terms of an electron cloud suspended over the horizon of a charged black hole in…

High Energy Physics - Theory · Physics 2015-03-17 V. Giangreco M. Puletti , S. Nowling , L. Thorlacius , T. Zingg

In this paper, we settle the homotopy properties of the infinity-morphisms of homotopy (bial)-gebras over properads, i.e. algebraic structures made up of operations with several inputs and outputs. We start by providing the literature with…

Algebraic Topology · Mathematics 2025-05-29 Eric Hoffbeck , Johan Leray , Bruno Vallette

The curvature singularity in viable f(R) gravity models is examined when the background density is dense. This singularity could be eliminated by adding the $R^{2}$ term in the Lagrangian. Some of cosmological consequences, in particular…

Cosmology and Nongalactic Astrophysics · Physics 2012-09-03 Chung-Chi Lee , Chao-Qiang Geng , Louis Yang

In this paper, we explore the conformal structure of singularities arising from varying fundamental constants using the method of Penrose diagrams. We employ a specific type of bimetric model featuring two different metrics. One metric…

General Relativity and Quantum Cosmology · Physics 2024-09-17 Konrad Marosek , Adam Balcerzak