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Related papers: Celestial soft currents at one-loop and their OPEs

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We explore the OPE of certain twist operators in symmetric product ($S_N$) orbifold CFTs, extending our previous work arXiv:1804.01562 to the case of $\mathcal{N}=(4,4)$ supersymmetry. We consider a class of twist operators related to the…

High Energy Physics - Theory · Physics 2019-09-04 Thomas de Beer , Benjamin A. Burrington , Ian T. Jardine , A. W. Peet

We make progress towards resummation of power-suppressed logarithms in dijet event shapes such as thrust, which have the potential to improve high-precision fits for the value of the strong coupling constant. Using a newly developed…

High Energy Physics - Phenomenology · Physics 2018-08-30 Raymond Goerke , Matthew Inglis-Whalen

In two-dimensional conformal field theory (CFT) the building blocks are given by chiral CFTs, i.e.~CFTs on the unit circle (compactified light-ray). They are generated by quantum fields depending on one light-ray coordinate only. There are…

Operator Algebras · Mathematics 2017-12-14 Sebastiano Carpi

The fusion rules and operator product expansion (OPE) serve as crucial tools in the study of operator algebras within conformal field theory (CFT). Building upon the vision of using entanglement to explore the connections between fusion…

High Energy Physics - Theory · Physics 2024-07-02 Song He , Yu-Xuan Zhang , Long Zhao , Zi-Xuan Zhao

We discuss scattering in a CFT via the conformal partial-wave analysis and the Regge limit. The focus of this paper is on understanding an OPE with Minkowski conformal blocks. Starting with a t-channel OPE, it leads to an expansion for an…

High Energy Physics - Theory · Physics 2018-10-17 Timothy G. Raben , Chung-I Tan

We introduce a new numerical algorithm based on semidefinite programming to efficiently compute bounds on operator dimensions, central charges, and OPE coefficients in 4D conformal and N=1 superconformal field theories. Using our algorithm,…

High Energy Physics - Theory · Physics 2014-07-31 David Poland , David Simmons-Duffin , Alessandro Vichi

In celestial holography, four-dimensional scattering amplitudes are considered as two-dimensional conformal correlators of a putative two-dimensional celestial conformal field theory (CCFT). The simplest way of converting momentum space…

High Energy Physics - Theory · Physics 2022-09-07 Wei Fan , Angelos Fotopoulos , Stephan Stieberger , Tomasz R. Taylor , Bin Zhu

We perform a loop-level analysis of charged-current (CC) processes involving light leptons and quarks within the Standard Model Effective Field Theory (SMEFT). This work is motivated by the high precision reached in experiment and Standard…

High Energy Physics - Phenomenology · Physics 2024-02-13 Maria Dawid , Vincenzo Cirigliano , Wouter Dekens

We apply the average null energy condition to obtain upper bounds on the three-point function coefficients of stress tensors and a scalar operator, $\langle TT {\cal O } \rangle,$ in general CFTs. We also constrain the gravitational anomaly…

High Energy Physics - Theory · Physics 2017-12-06 Clay Cordova , Juan Maldacena , Gustavo J. Turiaci

We study the operator product expansion (OPE) of identical scalars in a conformal four-point correlator as a Stieltjes moment problem, and use Riemann-Liouville type fractional differential operators to generate classical moments from the…

High Energy Physics - Theory · Physics 2025-10-17 David Poland , Gordon Rogelberg

Various observables in compact CFTs are required to obey positivity, discreteness, and integrality. Positivity forms the crux of the conformal bootstrap, but understanding of the abstract implications of discreteness and integrality for the…

High Energy Physics - Theory · Physics 2021-02-24 Justin Kaidi , Eric Perlmutter

The $w_{1+\infty}$ symmetry algebra appears in the Einstein--Yang--Mills theory, proposed recently by Strominger. In this paper, we derive the supersymmetric $w_{1+\infty}$ symmetry by using the known results on the operator product…

High Energy Physics - Theory · Physics 2022-08-11 Changhyun Ahn

Massless scattering amplitudes in four-dimensional Minkowski spacetime can be Mellin transformed to correlation functions on the celestial sphere at null infinity called celestial amplitudes. We study various properties of massless…

High Energy Physics - Theory · Physics 2019-10-23 Dhritiman Nandan , Anders Schreiber , Anastasia Volovich , Michael Zlotnikov

We present new asymptotic formulas for the distribution of OPE coefficients in conformal field theories. These formulas involve products of four or more coefficients and include light-light-heavy as well as heavy-heavy-heavy contributions.…

High Energy Physics - Theory · Physics 2023-11-15 Tarek Anous , Alexandre Belin , Jan de Boer , Diego Liska

We investigate the short-interval expansion of the subsystem fidelity in two-dimensional conformal field theories (2D CFTs) using the operator product expansion (OPE) of twist operators. We obtain universal contributions from general…

High Energy Physics - Theory · Physics 2026-01-13 Bin Sui , Yihao Wang , Jiaju Zhang

We consider effective field theories (EFTs) of scalar fields with broken Lorentz boosts, which arise by taking the decoupling and flat-space limits of the EFT of inflation, and derive constraints that must be satisfied by the corresponding…

High Energy Physics - Theory · Physics 2024-03-12 Zongzhe Du , David Stefanyszyn

We study analytically the constraints of the conformal bootstrap on the low-lying spectrum of operators in field theories with global conformal symmetry in one and two spacetime dimensions. We introduce a new class of linear functionals…

High Energy Physics - Theory · Physics 2017-05-24 Dalimil Mazac

The large-scale behavior of two-dimensional critical percolation is expected to be described by a conformal field theory (CFT). Moreover, this putative CFT is believed to be of the logarithmic type, exhibiting logarithmic corrections to the…

Mathematical Physics · Physics 2025-08-28 Federico Camia , Yu Feng

We analyze the convergence properties of operator product expansions (OPE) for Lorentzian CFT four-point functions of scalar operators. We give a complete classification of Lorentzian four-point configurations. All configurations in each…

High Energy Physics - Theory · Physics 2022-10-12 Jiaxin Qiao

We propose a general frame work for deriving the OPEs within a logarithmic conformal field theory (LCFT). This naturally leads to the emergence of a logarithmic partner of the energy momentum tensor within an LCFT, and implies that the…

High Energy Physics - Theory · Physics 2007-05-23 S. Moghimi-Araghi , S. Rouhani , M. Saadat
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