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We study conformal field theories at finite temperature in the presence of a temporal conformal line defect, wrapping the thermal circle, akin to a Polyakov loop in gauge theories. Although several symmetries of the conformal group are…

High Energy Physics - Theory · Physics 2025-03-10 Julien Barrat , Bartomeu Fiol , Enrico Marchetto , Alessio Miscioscia , Elli Pomoni

We compute exact three and four point functions in the W_N minimal models that were recently conjectured to be dual to a higher spin theory in AdS_3. The boundary theory has a large number of light operators that are not only invisible in…

High Energy Physics - Theory · Physics 2011-12-13 Kyriakos Papadodimas , Suvrat Raju

We propose a prescription for describing correlation functions in higher-dimensional defect conformal field theories (DCFTs) by those in ancillary conformal field theories (CFTs) without defects, which is a vast generalization of the image…

High Energy Physics - Theory · Physics 2022-12-09 Tatsuma Nishioka , Yoshitaka Okuyama , Soichiro Shimamori

Under the assumption that degenerate fields exist, diagonal CFTs such as Liouville theory can be solved analytically using the conformal bootstrap method. Here we generalize this approach to non-diagonal CFTs, i.e. CFTs whose primary fields…

High Energy Physics - Theory · Physics 2018-07-04 Santiago Migliaccio , Sylvain Ribault

We present an analytic study of conformal field theories on the real projective space $\mathbb{RP}^d$, focusing on the two-point functions of scalar operators. Due to the partially broken conformal symmetry, these are non-trivial functions…

High Energy Physics - Theory · Physics 2021-08-11 Simone Giombi , Himanshu Khanchandani , Xinan Zhou

We study heavy-light four-point function by employing Lorentzian inversion formula, where the conformal dimension of heavy operator is as large as central charge $C_T\rightarrow\infty$. We implement the Lorentzian inversion formula back and…

High Energy Physics - Theory · Physics 2020-08-26 Yue-Zhou Li

The coupling between defects and extended critical degrees of freedom gives rise to the intriguing theory known as defect conformal field theory (CFT). In this work, we introduce a novel family of boundary and interface CFTs by coupling $N$…

Statistical Mechanics · Physics 2024-12-30 Yang Ge , Shao-Kai Jian

Three-point correlation functions in the strong-coupling regime of the AdS/CFT correspondence can be analyzed within a semiclassical approximation when two of the vertex operators correspond to heavy string states having large quantum…

High Energy Physics - Theory · Physics 2011-08-05 Rafael Hernandez

Applications of the bootstrap program to superconformal field theories promise unique new insights into their landscape and could even lead to the discovery of new models. Most existing results of the superconformal bootstrap were obtained…

High Energy Physics - Theory · Physics 2018-06-12 Martina Cornagliotto , Madalena Lemos , Volker Schomerus

A wide variety of methods have been used to compute percolation thresholds. In lattice percolation, the most powerful of these methods consists of microcanonical simulations using the union-find algorithm to efficiently determine the…

Statistical Mechanics · Physics 2012-12-11 Stephan Mertens , Cristopher Moore

We study the odd spin structure contributions to the multiloop amplitudes of light-cone gauge superstring field theory. We show that they coincide with the amplitudes in the conformal gauge with two of the vertex operators chosen to be in…

High Energy Physics - Theory · Physics 2018-04-04 Nobuyuki Ishibashi , Koichi Murakami

We bootstrap tree-level supergravity four-point correlators on AdS$_5\times$S$^5$ with one external half-BPS double-particle operator and three half-BPS single-particle operators. Our only input is the consistency of the operator product…

High Energy Physics - Theory · Physics 2026-01-23 Francesco Aprile , Stefano Giusto , Rodolfo Russo , Joao Vilas Boas

Boundary conformal field theories have several additional terms in the trace anomaly of the stress tensor associated purely with the boundary. We constrain the corresponding boundary central charges in three- and four-dimensional conformal…

High Energy Physics - Theory · Physics 2018-01-10 Christopher Herzog , Kuo-Wei Huang , Kristan Jensen

Relativistic charged-particle beams which generate intense longitudinal fields in accelerating structures also inherently couple to transverse modes. The effects of this coupling may lead to beam break-up instability, and thus must be…

We present a general and systematic treatment of multi-trace deformations in the AdS/CFT correspondence in the large N limit, pointing out and clarifying subtleties relating to the formulation of the boundary value problem on a conformal…

High Energy Physics - Theory · Physics 2010-10-27 Ioannis Papadimitriou

We consider structure constants of single-trace operators at strong coupling in planar $\mathcal{N}=4$ SYM theory using the hexagon formalism. We concentrate on heavy-heavy-light correlators where the heavy operators are BMN operators, with…

High Energy Physics - Theory · Physics 2020-05-20 Benjamin Basso , De-liang Zhong

We begin by explicating a recent proof of the cluster decomposition principle in AdS_{d+1} from the CFT_d bootstrap in d > 2. The CFT argument also computes the leading interactions between distant objects in AdS, and we confirm the…

High Energy Physics - Theory · Physics 2014-09-17 A. Liam Fitzpatrick , Jared Kaplan , Matthew T. Walters

We consider conformal field theories with slightly broken higher spin symmetry in arbitrary spacetime dimensions. We analyze the crossing equation in the double light-cone limit and solve for the anomalous dimensions of higher spin currents…

High Energy Physics - Theory · Physics 2016-07-20 Luis F. Alday , Alexander Zhiboedov

The numerical conformal bootstrap is used to study mixed correlators in $\mathcal{N}=1$ superconformal field theories (SCFTs) in $d=4$ spacetime dimensions. Systems of four-point functions involving scalar chiral and real operators are…

High Energy Physics - Theory · Physics 2017-08-02 Daliang Li , David Meltzer , Andreas Stergiou

We set up the computation of correlation functions for operators that are dual to semiclassical string states in strongly coupled defect conformal field theories (dCFTs). In the dCFT that is dual to the D3-D5 probe-brane system, we…

High Energy Physics - Theory · Physics 2023-08-29 George Georgiou , Georgios Linardopoulos , Dimitrios Zoakos