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In holographic models of cosmology based on the (A)dS/CFT correspondence, conformal symmetry is implicit in the dual description of the Universe. Generically, however, one cannot expect the (broken) conformal invariance in the cosmic…

High Energy Physics - Theory · Physics 2015-06-19 Shinsuke Kawai , Yu Nakayama

While $f(T)$ gravity has shown considerable potential in addressing cosmological tensions, we explore previously overlooked solution spaces that hold further promise. We examine the case where the customary assumption of a strictly positive…

General Relativity and Quantum Cosmology · Physics 2025-10-21 Ozgur Akarsu , Bilal Bulduk , Antonio De Felice , Nihan Katırcı , N. Merve Uzun

The asymptotic symmetry algebra of $\mathcal{N}=1$ supergravity was recently constructed using the well-known $2$D celestial CFT (CCFT) technique in ArXiv: 2007.03785. In this paper, we extend the construction to the maximally…

High Energy Physics - Theory · Physics 2022-12-26 Nabamita Banerjee , Tabasum Rahnuma , Ranveer Kumar Singh

In this paper, we use crossing symmetry and unitarity constraints to put a lower bound on the central charge of conformal field theories in large space-time dimensions $D$. Specifically, we work with the four-point function of identical…

High Energy Physics - Theory · Physics 2023-06-07 Abhijit Gadde , Mrunmay Jagadale , Shraiyance Jain , Trakshu Sharma

Celestial holography proposes a duality between the gravitational $\mathcal{S}$-matrix and correlators in a conformal field theory living on the celestial sphere. In this white paper, solicited for the 2022 Snowmass process, we review the…

High Energy Physics - Theory · Physics 2021-11-23 Sabrina Pasterski , Monica Pate , Ana-Maria Raclariu

In this work, we fix the leading term in the operator algebra of light-transformed operators in the context of flat space holography. Starting with light-transformed graviton correlators, we show that the OPE obtained by taking the…

High Energy Physics - Theory · Physics 2025-08-21 Sourish Banerjee , Rudranil Basu

Solutions of the Strong CP Problem based on the spontaneous breaking of CP must feature a non-generic structure and simultaneously explain a coincidence between a priori unrelated CP-even and CP-odd mass scales. We show that these…

High Energy Physics - Phenomenology · Physics 2021-08-04 Alessandro Valenti , Luca Vecchi

We numerically study the crossing symmetry constraints in 4D CFTs, using previously introduced algorithms based on semidefinite programming. We study bounds on OPE coefficients of tensor operators as a function of their scaling dimension…

High Energy Physics - Theory · Physics 2015-06-22 Francesco Caracciolo , Alejandro Castedo Echeverri , Benedict von Harling , Marco Serone

We extend the holographic duality between 3d pure gravity and the 2d Ising CFT proposed in [Phys. Rev. D 85 (2012) 024032] to CFTs with boundaries. Besides the usual asymptotic boundary, the dual bulk spacetime now has a real cutoff, on…

High Energy Physics - Theory · Physics 2021-06-08 Andreas Karch , Zhu-Xi Luo , Hao-Yu Sun

We use the extrapolate dictionary to revisit the spectrum of operators in Celestial CFT. Under the Celestial CFT map, each state in the 4D Hilbert space should map to one in the 2D Hilbert space. This implies that, beyond the familiar…

High Energy Physics - Theory · Physics 2025-01-03 Justin Kulp , Sabrina Pasterski

What is the boundary holographic dual of S-duality for gauge theories in asymptotically flat space-times? Celestial amplitudes, by virtue of exhibiting holographic properties of the S-matrix, appear well-suited for studying this question.…

High Energy Physics - Theory · Physics 2024-08-26 Tristan McLoughlin , Nathan Moynihan , Andrea Puhm

Celestial holography expresses $\mathcal{S}$-matrix elements as correlators in a CFT living on the night sky. Poincar\'e invariance imposes additional selection rules on the allowed positions of operators. As a consequence, $n$-point…

High Energy Physics - Theory · Physics 2022-09-28 Sebastian Mizera , Sabrina Pasterski

The celestial $Lw_{1+\infty}$ symmetries in asymptotically flat spacetimes have a natural geometric interpretation on twistor space in terms of Poisson diffeomorphisms. Using this framework, we provide a first-principle derivation of the…

High Energy Physics - Theory · Physics 2024-12-23 Adam Kmec , Lionel Mason , Romain Ruzziconi , Akshay Yelleshpur Srikant

A classification of soft SUSY breaking deformation of general four dimensional $\mathcal{N}=2$ SCFT is provided. Given the large class of newly discovered $\mathcal{N}=2$ SCFTs and their known properties such as the central charges and full…

High Energy Physics - Theory · Physics 2019-05-02 Dan Xie

The operator product expansion of massless celestial primary operators of arbitrary spin is investigated. Poincar\'e symmetry is found to imply a set of recursion relations on the operator product expansion coefficients of the leading…

High Energy Physics - Theory · Physics 2022-02-09 Elizabeth Himwich , Monica Pate , Kyle Singh

We consider a supersymmetric model that uses partial compositeness to explain the fermion mass hierarchy and predict the sfermion mass spectrum. The Higgs and third-generation matter superfields are elementary, while the first two matter…

High Energy Physics - Phenomenology · Physics 2019-03-19 Yusuf Buyukdag , Tony Gherghetta , Andrew S. Miller

We study second-order cosmological perturbations in scalar-tensor models of dark energy that satisfy local gravity constraints, including f(R) gravity. We derive equations for matter fluctuations under a sub-horizon approximation and…

Astrophysics · Physics 2010-10-12 Takayuki Tatekawa , Shinji Tsujikawa

Celestial holography provides a reformulation of scattering amplitudes in four dimensional asymptotically flat spacetimes in terms of conformal correlators of operators on the two dimensional celestial sphere in a basis of boost…

High Energy Physics - Theory · Physics 2024-01-22 Laurent Freidel , Daniele Pranzetti , Ana-Maria Raclariu

Arguments are given that the lightest supersymmetric particle should be a neutralino $\chi$. Minimizing the fine tuning of the gauge hierarchy favours $\Omega_{\chi} h^2 \sim 0.1$. There are important constraints on the parameter space of…

Astrophysics · Physics 2009-10-31 John Ellis

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