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We propose a roadmap for bootstrapping conformal field theories (CFTs) described by gauge theories in dimensions $d>2$. In particular, we provide a simple and workable answer to the question of how to detect the gauge group in the bootstrap…

高能物理 - 理论 · 物理学 2021-12-29 Yin-Chen He , Junchen Rong , Ning Su

We compute the most general embedding space two-point function in arbitrary Lorentz representations in the context of the recently introduced formalism in arXiv:1905.00036 and arXiv:1905.00434. This work provides a first explicit…

高能物理 - 理论 · 物理学 2020-05-20 Jean-François Fortin , Valentina Prilepina , Witold Skiba

This is the second part of the paper 0709.3806v2. Here we show that three-point correlation function with one semi-degenerate field in Toda field theory as well as four-point correlation function with one completely degenerate and one…

高能物理 - 理论 · 物理学 2009-02-12 V. A. Fateev , A. V. Litvinov

We initiate the lightcone bootstrap analysis of multipoint correlators in a defect conformal field theory. The setup we consider is the three-point function of two bulk and one defect operator. Requiring consistency of the crossing equation…

高能物理 - 理论 · 物理学 2026-03-30 Lorenzo Bianchi , Andrea Mattiello , Lorenzo Quintavalle

Superconformal transformations are derived for the $\N=2,4 supermultiplets corresponding to the simplest chiral primary operators. These are applied to two, three and four point correlation functions. When $\N=4$, results are obtained for…

高能物理 - 理论 · 物理学 2009-11-07 F. A. Dolan , H. Osborn

The symmetry data of a $d$-dimensional quantum field theory (QFT) can often be captured in terms of a higher-dimensional symmetry topological field theory (SymTFT). In top down (i.e., stringy) realizations of this structure, the QFT in…

高能物理 - 理论 · 物理学 2024-08-23 Mirjam Cvetič , Ron Donagi , Jonathan J. Heckman , Max Hübner , Ethan Torres

Consider a d-dimensional quantum field theory (QFT) $\mathfrak{T}$, with a generalized symmetry $\mathcal{S}$, which may or may not be invertible. We study the action of $\mathcal{S}$ on generalized or $q$-charges, i.e. $q$-dimensional…

高能物理 - 理论 · 物理学 2025-10-15 Lakshya Bhardwaj , Sakura Schafer-Nameki

We study the fundamentals of quantum field theory on a rigid de Sitter space. We show that the perturbative expansion of late-time correlation functions to all orders can be equivalently generated by a non-unitary Lagrangian on a Euclidean…

高能物理 - 理论 · 物理学 2026-01-09 Lorenzo Di Pietro , Victor Gorbenko , Shota Komatsu

We use holography to study correlation functions of local operators in maximally supersymmetric Yang-Mills theories arising on the world-volume of D$p$-branes in the large-$N$ and strong-coupling limit. The relevant supergravity backgrounds…

高能物理 - 理论 · 物理学 2025-10-23 Nikolay Bobev , Guillermo Mera Álvarez , Hynek Paul

Recently, with the help of Parisi-Sourlas supersymmetry an intriguing relation was found expressing the four-point scalar conformal block of a (d-2)-dimensional CFT in terms of a five-term linear combination of blocks of a d-dimensional…

高能物理 - 理论 · 物理学 2021-04-07 Sarah Hoback , Sarthak Parikh

We characterize discrete (anti-)unitary symmetries and their non-invertible generalizations in $2+1$d topological quantum field theories (TQFTs) through their actions on line operators and fusion spaces. We explain all possible sources of…

高能物理 - 理论 · 物理学 2023-09-28 Matthew Buican , Rajath Radhakrishnan

We study relevant deformations of conformal field theory on a cylinder using conformal perturbation theory, and in particular the one point function of the deformation operator and the energy in a system after a quench. We do the one point…

高能物理 - 理论 · 物理学 2014-11-05 David Berenstein , Alexandra Miller

We explore higher-dimensional conformal field theories (CFTs) in the presence of a conformal defect that itself hosts another sub-dimensional defect. We refer to this new kind of conformal defect as the composite defect. We elaborate on the…

高能物理 - 理论 · 物理学 2024-04-26 Soichiro Shimamori

We investigate the principles of quantum field theory using a stiff de Sitter space. We demonstrate that a non-unitary Lagrangian on a Euclidean AdS geometry can produce the perturbative expansion of late-time correlation functions to all…

高能物理 - 理论 · 物理学 2026-03-05 Sayantan Choudhury

We derive a dispersion relation for two-point correlation functions in defect conformal field theories. The correlator is expressed as an integral over a (single) discontinuity that is controlled by the bulk channel operator product…

高能物理 - 理论 · 物理学 2023-08-02 Lorenzo Bianchi , Davide Bonomi

We continue our study of $\lambda$-deformed $\sigma$-models by setting up a $1/k$ perturbative expansion around the free field point for cosets, in particular for the $\lambda$-deformed $SU(2)/U(1)$ coset CFT. We construct an interacting…

高能物理 - 理论 · 物理学 2020-07-28 George Georgiou , Konstantinos Sfetsos , Konstantinos Siampos

We study the correlation function between one single-trace scalar operator and a circular Wilson loop in the $4d$ $\mathcal{N}=2$ superconformal field theory with gauge group $SU(N)$ and matter transforming in the symmetric and…

高能物理 - 理论 · 物理学 2023-06-19 Alessandro Pini , Paolo Vallarino

In this letter we discuss the operator product expansion of scalar operators in five-dimensional field theories with an $SU(1,3)\times U(1)$ spacetime symmetry. Such theories arise by a novel conformal null reduction of six-dimensional…

高能物理 - 理论 · 物理学 2024-05-16 N. Lambert , A. Lipstein , R. Mouland

We present a calculation of three point functions for a class of chiral operators, including the primary ones, in d = 3, N = 8; d = 6, N = (2,0) and d = 4, N = 4 superconformal field theories at large N. These theories are related to the…

高能物理 - 理论 · 物理学 2009-10-31 Fiorenzo Bastianelli , Roberto Zucchini

Understanding the link between correlation functions (CFs) of local operators and measurable collider correlators has emerged as a new opportunity in the study of gauge theory dynamics at colliders. While in Conformal Field Theories (CFTs)…

高能物理 - 理论 · 物理学 2026-03-25 Hao Chen , Pier Francesco Monni , Zhaoyan Pang , Gherardo Vita , Hua Xing Zhu