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Known examples of unitary relativistic scale but not conformal-invariant field theories (SFTs) can be embedded into conventional conformal field theories (CFTs). We show that any SFT which is a subsector of a unitary CFT is a free theory.…

High Energy Physics - Theory · Physics 2020-04-13 Anatoly Dymarsky , Alexander Zhiboedov

Exploiting the analytic properties of the scattering amplitude, we provide an alternative but equivalent definition of the standard Mellin transform used to obtain celestial correlation functions. From this representation, we identify a…

High Energy Physics - Theory · Physics 2026-02-04 Eduardo Casali , Riccardo Giordana Pozzi

We systematically derive the consistency relations associated to the non-linearly realized symmetries of theories with spontaneously broken conformal symmetry but with a linearly-realized de Sitter subalgebra. These identities relate…

High Energy Physics - Theory · Physics 2013-04-12 Paolo Creminelli , Austin Joyce , Justin Khoury , Marko Simonović

We derive a bound on the conformal dimensions of the lightest few states in general unitary 2d conformal field theories with discrete spectra using modular invariance, including CFTs with chiral currents. We derive a bound on the conformal…

High Energy Physics - Theory · Physics 2015-08-04 Joshua D. Qualls

We consider two-dimensional chiral, first-order conformal field theories governing maps from the Riemann sphere to the projective light cone inside Minkowski space -- the natural setting for describing conformal field theories in two fewer…

High Energy Physics - Theory · Physics 2017-09-13 Tim Adamo , Ricardo Monteiro , Miguel F. Paulos

Recently, there has been a growing interest in celestial holography, which is holography in asymptotically flat spacetimes. This holographic duality exhibits numerous mysterious and fruitful features, particularly on the dual CFT side. In…

High Energy Physics - Theory · Physics 2024-04-23 Naoki Ogawa , Shunta Takahashi , Takashi Tsuda , Takahiro Waki

We use the AdS/CFT correspondence to explicitly calculate some of the three-point functions in the planar limit of the 4d $\mathcal{N}=1$ Leigh-Strassler SCFT. This strongly interacting CFT can be obtained as a mass deformation of the 4d…

High Energy Physics - Theory · Physics 2025-10-23 Nikolay Bobev , Hynek Paul

Correlators in symmetric orbifold CFTs are given by a finite sum of admissible branched covers of the 2d spacetime. We consider a Gross-Mende like limit where all operators have large twist, and show that the corresponding branched covers…

High Energy Physics - Theory · Physics 2021-05-26 Matthias R. Gaberdiel , Rajesh Gopakumar , Bob Knighton , Pronobesh Maity

This is the first in a series of papers on the search for the 2D CFT description of a large class of 4D $\mathcal{N} = 1$ gauge theories. Here, we identify the 2D CFT symmetry algebra and its representations, namely the conformal blocks of…

High Energy Physics - Theory · Physics 2017-09-13 Vladimir Mitev , Elli Pomoni

Correlation functions of energy flow operators (energy-energy correlators) are one of the simplest observables in quantum field theory and gravity, with diverse applications ranging from real world collider physics to constraining the space…

High Energy Physics - Theory · Physics 2025-12-12 Bianka Meçaj , Ian Moult , Matthew T. Walters , Yuan Xin

We define a conformal reference frame, i.e., a special projection of the six-dimensional sky bundle of a Lorentzian manifold (or the five-dimensional twistor space) to a three-dimensional manifold. We construct an example, a conformal…

Mathematical Physics · Physics 2017-08-16 Innocenti V. Maresin

In this work, we study the $\frac{1}{8}$-BPS heavy-heavy-light-light correlators in the D1D5 CFT and its holographic dual. On the field theory side, we compute the fermionic four-point correlators at the free orbifold point. On the dual…

High Energy Physics - Theory · Physics 2019-10-23 Jia Tian , Jue Hou , Bin Chen

We argue that every CFT contains light-ray operators labeled by a continuous spin J. When J is a positive integer, light-ray operators become integrals of local operators over a null line. However for non-integer J, light-ray operators are…

High Energy Physics - Theory · Physics 2019-08-27 Petr Kravchuk , David Simmons-Duffin

The spatial cross-correlation function xi_C recently introduced by Roukema et al. is applied to the equilateral toroidal topology of the universe. Several CMB maps based on the WMAP 5yr data are analysed and a small likelihood in favour of…

Astrophysics · Physics 2009-06-23 Ralf Aurich

CFTs in Euclidean signature satisfy well-accepted rules, such as the convergent Euclidean OPE. It is nowadays common to assume that CFT correlators exist and have various properties also in Lorentzian signature. Some of these properties may…

High Energy Physics - Theory · Physics 2021-09-15 Petr Kravchuk , Jiaxin Qiao , Slava Rychkov

Supersymmetric conformal field theories (SCFTs) form a unique subset of quantum field theories which provide powerful insights into strongly coupled critical phenomena. Here, we present a microscopic and non-perturbative realization of the…

Strongly Correlated Electrons · Physics 2026-01-01 Yin Tang , Cristian Voinea , Liangdong Hu , Zlatko Papić , W. Zhu

We analyze the momentum-space representations of the Lorentzian correlators of scalar primary operators in an arbitrary 2D CFT. These correlators characterize the effective dynamics of open quantum systems. We derive the results from the…

High Energy Physics - Theory · Physics 2025-07-22 Lorenzo Toni

We study surface operators in 3d Topological Field Theory and their relations with 2d Rational Conformal Field Theory. We show that a surface operator gives rise to a consistent gluing of chiral and anti-chiral sectors in the 2d RCFT. The…

High Energy Physics - Theory · Physics 2015-03-17 Anton Kapustin , Natalia Saulina

We discuss universal properties of conformal field theories with holographic duals. A central feature of these theories is the existence of a low-lying sector of operators whose correlators factorize. We demonstrate that factorization can…

High Energy Physics - Theory · Physics 2015-03-17 Sheer El-Showk , Kyriakos Papadodimas

Celestial amplitudes represent 4D scattering of particles in boost, rather than the usual energy-momentum, eigenstates and hence are sensitive to both UV and IR physics. We show that known UV and IR properties of quantum gravity translate…

High Energy Physics - Theory · Physics 2021-09-01 Nima Arkani-Hamed , Monica Pate , Ana-Maria Raclariu , Andrew Strominger