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In this paper, we study the logarithmic terms in the partition functions of CFTs with boundaries (BCFTs). In three dimensions, their coefficients give the boundary central charges, which are conjectured to be monotonically decreasing…

High Energy Physics - Theory · Physics 2015-06-05 Masahiro Nozaki , Tadashi Takayanagi , Tomonori Ugajin

We present a first attempt to derive the full (type-A and type-B) Weyl anomaly of four dimensional conformal higher spin (CHS) fields in a holographic way. We obtain the type-A and type-B Weyl anomaly coefficients for the whole family of 4D…

High Energy Physics - Theory · Physics 2017-12-06 S. Acevedo , R. Aros , F. Bugini , D. E. Diaz

Irrelevant operators in a CFT modify the usual Weyl transformation of the metric. A metric beta-function turns on, which modifies the Weyl anomalies as well. In this paper, we study the relation between bulk diffeomorphisms and Weyl…

High Energy Physics - Theory · Physics 2022-05-09 Matteo Broccoli

In this work we discuss the application of the Hamilton-Jacobi formalism on the scalar field implementation of Generalized Chaplygin Gas models. This corresponds to a Generalised Born-Infeld action for the scalar field, which in an initial…

Cosmology and Nongalactic Astrophysics · Physics 2021-10-20 Yordan Ignatov , Mauro Pieroni

It was recently pointed out that the physics of a single discrete gravitational extra dimension exhibits a peculiar UV/IR connection relating the UV scale to the radius of the effective extra dimension. Here we note that this non-locality…

High Energy Physics - Theory · Physics 2009-11-10 Vishnu Jejjala , Robert G. Leigh , Djordje Minic

We compute correlation functions, specifically 1-point and 2-point functions, in holographic boundary conformal field theory (BCFT) using geodesic approximation. The holographic model consists of a massive scalar field coupled to a…

High Energy Physics - Theory · Physics 2022-02-23 Jani Kastikainen , Sanjit Shashi

A perturbative renormalization group is formulated for the study of Hamiltonian light-front field theory near a critical Gaussian fixed point. The only light-front renormalization group transformations found that can be approximated by…

High Energy Physics - Theory · Physics 2009-10-28 Robert J. Perry

We generalise Langlois' Hamiltonian treatment of gauge-invariant linear cosmological perturbations to a cosmological setting with multiple scalar fields minimally coupled to gravity. We review the Hamilton-Jacobi-like technique for a…

General Relativity and Quantum Cosmology · Physics 2025-03-28 Mateo Pascual

The Renyi entropies and entanglement entropy of 1+1 CFTs with gravity duals can be computed by explicit construction of the bulk spacetimes dual to branched covers of the boundary geometry. At the classical level in the bulk this has…

High Energy Physics - Theory · Physics 2013-12-16 Taylor Barrella , Xi Dong , Sean A. Hartnoll , Victoria L. Martin

We describe probes of anti-de Sitter spacetimes in terms of conformal field theories on the AdS boundary. Our basic tool is a formula that relates bulk and boundary states -- classical bulk field configurations are dual to expectation…

High Energy Physics - Theory · Physics 2009-10-31 Vijay Balasubramanian , Per Kraus , Albion Lawrence , Sandip Trivedi

In AdS/CFT, the holographic Weyl anomaly computation relates the a-anomaly coefficient to the properties of the bulk action at the UV fixed point. This universal behavior suggests the possibility of a holographic c-theorem for the a-anomaly…

High Energy Physics - Theory · Physics 2013-05-30 James T. Liu , Wafic Sabra , Zhichen Zhao

We consider the Wilson-Polchinski exact renormalization group applied to the generating functional of single-trace operators at a free-fixed point in $d=2+1$ dimensions. By exploiting the rich symmetry structure of free field theory, we…

High Energy Physics - Theory · Physics 2014-06-11 Robert G. Leigh , Onkar Parrikar , Alexander B. Weiss

We study 2+1 dimensional conformal field theories (CFTs) with a globally conserved U(1) charge, placed in a chemical potential which is periodically modulated along the spatial direction $x$ with zero average: $\mu(x) = V \cos(kx)$. The…

High Energy Physics - Theory · Physics 2014-01-29 Paul Chesler , Andrew Lucas , Subir Sachdev

We systematically develop the procedure of holographic renormalization for RG flows dual to asymptotically AdS domain walls. All divergences of the on-shell bulk action can be cancelled by adding covariant local boundary counterterms…

High Energy Physics - Theory · Physics 2015-06-26 Massimo Bianchi , Daniel Z. Freedman , Kostas Skenderis

We use the thermodynamics of anti-de Sitter gravity to derive sparseness bounds on the spectrum of local operators in holographic conformal field theories. The simplest such bound is $\rho(\Delta) \lesssim…

High Energy Physics - Theory · Physics 2018-08-01 Eric Mefford , Edgar Shaghoulian , Milind Shyani

Quantum field theories (QFT) in the presence of defects exhibit new types of anomalies which play an important role in constraining the defect dynamics and defect renormalization group (RG) flows. Here we study surface defects and their…

High Energy Physics - Theory · Physics 2021-12-08 Yifan Wang

We introduce and study renormalization group interfaces between two holographic conformal theories which are related by deformation by a scalar double trace operator. At leading order in the 1/N expansion, we derive expressions for the two…

High Energy Physics - Theory · Physics 2017-12-06 Charles Melby-Thompson , Cornelius Schmidt-Colinet

In this note we address the discrepancy found by Hung, Myers and Smolkin between the holographic calculation of entanglement entropy (using the Jacobson-Myers functional for the holographic minimal surface) and the CFT trace anomaly…

High Energy Physics - Theory · Physics 2015-10-15 Amin Faraji Astaneh , Alexander Patrushev , Sergey N. Solodukhin

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 give a holographic explanation how the renormalization group approach to singular perturbations in non-linear differential equations proposed by Chen, Goldenfeld and Oono is indeed equivalent to a renormalization group method in quantum…

High Energy Physics - Theory · Physics 2013-11-13 Yu Nakayama