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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 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…

High Energy Physics - Theory · Physics 2025-08-22 Yoshiki Fukusumi

This is a review of recent developments in the theory of beta ensembles of random matrices and their relations with conformal filed theory (CFT). There are (almost) no new results here. This article can serve as a guide on appearances and…

Mathematical Physics · Physics 2014-08-19 Igor Rumanov

We study the effect of boundary deformations on the von Neumann entropy of subregions in two-dimensional boundary conformal field theories (BCFTs) at zero and finite temperature. The deformations considered are infinitesimal global…

High Energy Physics - Theory · Physics 2026-04-21 Dominik Neuenfeld , Christopher Tellinger

We study the recent proposal of arXiv:2405.20366 which poses a precise holographic duality between a 3d TQFT summed over all topologies and a unitary ensemble of boundary 2d CFTs. In that proposal, the sum over topologies is obtained via…

High Energy Physics - Theory · Physics 2025-11-07 Ahmed Barbar

Logarithmic conformal field theories have a vast range of applications, from critical percolation to systems with quenched disorder. In this paper we thoroughly examine the structure of these theories based on their symmetry properties. Our…

High Energy Physics - Theory · Physics 2017-11-22 Matthijs Hogervorst , Miguel Paulos , Alessandro Vichi

We consider the path integral of a quantum field theory in Minkowski spacetime with fixed boundary values (for the elementary fields) on asymptotic boundaries. We define and study the corresponding boundary correlation functions obtained by…

High Energy Physics - Theory · Physics 2023-11-08 Diksha Jain , Suman Kundu , Shiraz Minwalla , Onkar Parrikar , Siddharth G. Prabhu , Pushkal Shrivastava

The problem of constructing local bulk observables from boundary CFT data is of paramount importance in holography. In this work, we begin addressing this question from a modern bootstrap perspective. Our main tool is the boundary operator…

High Energy Physics - Theory · Physics 2023-11-17 Nat Levine , Miguel F. Paulos

For QFTs in AdS the boundary correlation functions remain conformal even if the bulk theory has a scale. This allows one to constrain RG flows with numerical conformal bootstrap methods. We apply this idea to flows between two-dimensional…

High Energy Physics - Theory · Physics 2024-04-15 António Antunes , Edoardo Lauria , Balt C. van Rees

We consider Carrollian conformal field theories in two dimensions and construct the boundary Carrollian conformal algebra (BCCA), opening up innumerable possibilities for further studies, given the growing relevance of Carrollian…

This work explores holographic correlators within the frameworks of two-dimensional Boundary Conformal Field Theory (BCFT) and Crosscap Conformal Field Theory (XCFT). Utilizing the AdS/CFT correspondence, we compute stress tensor…

High Energy Physics - Theory · Physics 2025-03-13 Yun-Ze Li , Yunfei Xie , Song He

In AdS/CFT partition functions of decoupled copies of the CFT factorize. In bulk computations of such quantities contributions from spacetime wormholes which link separate asymptotic boundaries threaten to spoil this property, leading to a…

High Energy Physics - Theory · Physics 2021-07-29 Phil Saad , Stephen Shenker , Shunyu Yao

We clarify the relationships between different approaches to the conformal bootstrap. A central role is played by the so-called extremal functionals. They are linear functionals acting on the crossing equation which are directly responsible…

High Energy Physics - Theory · Physics 2019-03-06 Dalimil Mazac , Miguel F. Paulos

Boundary conformal field theory (BCFT) is the study of conformal field theory (CFT) in semi-infinite space-time. In non-relativistic limit ($x\rightarrow\epsilon x, t\rightarrow t, \epsilon\rightarrow 0$), boundary conformal algebra changes…

High Energy Physics - Theory · Physics 2015-06-04 M. R. Setare , V. Kamali

Universal properties of a critical quantum spin chain are encoded in the underlying conformal field theory (CFT). This underlying CFT is fully characterized by its conformal data. We propose a method to extract the conformal data from a…

Statistical Mechanics · Physics 2020-02-05 Yijian Zou , Guifre Vidal

We consider entanglement through permeable junctions of $N$ $(1+1)$-dimensional free boson and free fermion conformal field theories. In the folded picture we constrain the form of the general boundary state. We calculate replicated…

High Energy Physics - Theory · Physics 2017-05-31 Michael Gutperle , John D. Miller

To connect conformal field theories (CFT) to probabilistic lattice models, recent works [HKV22, Ada23] have introduced a novel definition of local fields of the lattice models. Local fields in this picture are probabilistically concrete:…

Mathematical Physics · Physics 2024-07-30 David Adame-Carrillo , Delara Behzad , Kalle Kytölä

We study operator entanglement measures of the unitary evolution operators of (1+1)-dimensional conformal field theories (CFTs), aiming to uncover their scrambling and chaotic behaviors. In particular, we compute the bi-partite and…

High Energy Physics - Theory · Physics 2020-01-29 Laimei Nie , Masahiro Nozaki , Shinsei Ryu , Mao Tian Tan

In non-maximally quantum chaotic systems, the exponential behavior of out-of-time-ordered correlators (OTOCs) results from summing over exchanges of an infinite tower of higher "spin" operators. We construct an effective field theory (EFT)…

High Energy Physics - Theory · Physics 2023-08-16 Ping Gao , Hong Liu

We study the $T\bar T$ deformation of boundary conformal field theories (BCFTs) from an intrinsic field-theoretic perspective. Formulating the deformation as a modification of the asymptotic variational principle in AdS$_3$, we obtain the…

High Energy Physics - Theory · Physics 2026-01-30 Feiyu Deng
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