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In this paper, we derive a soft theorem at leading and subleading orders within the context of BFSS matrix theory. Specifically, we consider the effective field theory describing interactions between bound states of D0-branes at leading…

High Energy Physics - Theory · Physics 2026-02-06 Davide Laurenzano , John F. Wheater

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

In recent years soft factorization theorems in scattering amplitudes have been reinterpreted as conservation laws of asymptotic charges. In gauge, gravity, and higher spin theories the asymptotic charges can be understood as canonical…

High Energy Physics - Theory · Physics 2019-04-18 Miguel Campiglia , Laurent Freidel , Florian Hopfmüller , Ronak M Soni

We consider the operator product expansion (OPE) structure of scalar primary operators in a generic Lorentzian CFT and its dual description in a gravitational theory with one extra dimension. The OPE can be decomposed into certain bi-local…

High Energy Physics - Theory · Physics 2020-05-20 Heng-Yu Chen , Lung-Chuan Chen , Nozomu Kobayashi , Tatsuma Nishioka

Tree-level gravitational amplitudes satisfy an infinite hierarchy of soft factorization theorems. The existence of these theorems has been recently linked with the existence of an infinite tower of asymptotic symmetries. In this paper, we…

High Energy Physics - Theory · Physics 2025-01-17 Samim Akhtar

Carrollian holography aims to express gravity in four-dimensional asymptotically flat spacetime in terms of a dual three-dimensional Carrollian CFT living at null infinity. Carrollian amplitudes are massless scattering amplitudes written in…

High Energy Physics - Theory · Physics 2023-12-19 Lionel Mason , Romain Ruzziconi , Akshay Yelleshpur Srikant

We identify an eikonal regime in celestial CFT$_2$ in which massless 2-2 scattering is dominated by t-channel exchange. We derive a formula for the celestial amplitude that resums exchanges of arbitrary integer spin to all orders in the…

High Energy Physics - Theory · Physics 2022-06-22 Leonardo Pipolo de Gioia , Ana-Maria Raclariu

We prove convergence and compatibility of iterated bulk and boundary operator product expansions (OPEs) in two-dimensional conformal field theory with locally $C_1$-cofinite chiral symmetry. For each tree, we give an explicit domain of…

Quantum Algebra · Mathematics 2026-05-27 Yuto Moriwaki

We consider massless scattering from the point of view of the position, momentum, and celestial bases. In these three languages different properties of physical processes become manifest or obscured. Within the soft sector, they highlight…

High Energy Physics - Theory · Physics 2022-07-06 Laura Donnay , Sabrina Pasterski , Andrea Puhm

In this note we show how the 1-loop exact correction to the subleading soft graviton theorem arising from IR divergences of scattering amplitudes matches onto the quadratic corrections to the soft charges computed from the BMS flux algebra.…

High Energy Physics - Theory · Physics 2023-01-25 Sabrina Pasterski

Soft-operators, loosely speaking, are operators which create or annihilate zero energy massless particles on the celestial sphere in Minkowski space. The Lorentz group acts on the celestial sphere by conformal transformation and the…

High Energy Physics - Theory · Physics 2020-05-20 Shamik Banerjee , Pranjal Pandey , Partha Paul

We transform superstring scattering amplitudes into the correlation functions of primary conformal fields on two-dimensional celestial sphere. The points on celestial sphere are associated to the asymptotic directions of (light-like)…

High Energy Physics - Theory · Physics 2018-10-17 Stephan Stieberger , Tomasz R. Taylor

Soft theorems in gauge theory and gravity encode the universal properties of scattering amplitudes as the zero frequency limit of one or more external states is approached. When the participating particles are treated in the massless limit,…

High Energy Physics - Theory · Physics 2021-07-15 Nikhil Kalyanapuram

Following up on the recent work of Cachazo, He and Yuan \cite{arXiv:1503.04816 [hep-th]}, we derive the double soft graviton theorem in perturbative gravity. We show that the double soft theorem derived using CHY formula precisely matches…

High Energy Physics - Theory · Physics 2016-10-03 Arnab Priya Saha

We calculate the simultaneous double-soft limit of two massless closed strings scattering with any number of closed string tachyons to the subleading order at the tree level. The limit factorizes the scattering amplitude into a double-soft…

High Energy Physics - Theory · Physics 2020-05-13 Raffaele Marotta , Matin Mojaza

We establish the nonperturbative celestial optical theorem from the unitarity of $S$-matrix. This theorem provides a set of nonperturbative bootstrap equations of the conformal partial wave (CPW) coefficients. The celestial optical theorem…

High Energy Physics - Theory · Physics 2025-12-16 Reiko Liu , Wen-Jie Ma

In this review we discuss currents in celestial CFT and the consistency of their naive symmetry algebras. In particular we study in detail the Jacobi identity and the double residue condition for soft insertions, hard momentum space…

High Energy Physics - Theory · Physics 2024-10-16 Adam Ball

We analyse the OPE of any two 1/2 BPS operators of (2,0) SCFT$_6$ by constructing all possible three-point functions that they can form with another, in general long operator. Such three-point functions are uniquely determined by…

High Energy Physics - Theory · Physics 2010-02-03 B. Eden , S. Ferrara , E. Sokatchev

The graviton exchange effect on cosmological correlation functions is examined by employing the double-soft limit technique. A new relation among correlation functions that contain the effects due to graviton exchange diagrams in addition…

High Energy Physics - Theory · Physics 2017-01-26 Allan L. Alinea , Takahiro Kubota , Nobuhiko Misumi

Soft cosmology is an extension of standard cosmology allowing for a scale-dependent equation-of-state (EoS) parameter in the dark sectors, which is one of the properties of soft materials in condensed-matter physics, that may arise either…

Cosmology and Nongalactic Astrophysics · Physics 2022-12-12 Emmanuel N. Saridakis , Weiqiang Yang , Supriya Pan , Fotios K. Anagnostopoulos , Spyros Basilakos