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The null conformal boundary $\mathscr{I}$ of Minkowski spacetime $\mathbb{M}$ plays a special role in scattering theory, as it is the locus where massless particle states are most naturally defined. We construct quantum fields on…

High Energy Physics - Theory · Physics 2023-08-29 Kevin Nguyen , Peter West

Conformal Carrollian groups are known to be isomorphic to Bondi-Metzner-Sachs (BMS) groups that arise as the asymptotic symmetries at the null boundary of Minkowski spacetime. The Carrollian algebra is obtained from the Poincare algebra by…

High Energy Physics - Theory · Physics 2019-05-28 Arjun Bagchi , Aditya Mehra , Poulami Nandi

Carrollian conformal field theories (carrollian CFTs) are natural field theories on null infinity of an asymptotically flat spacetime or, in general, geometries with conformal carrollian structure. Using a basis transformation,…

High Energy Physics - Theory · Physics 2023-11-13 Jakob Salzer

We argue that rational conformally invariant quantum field theories in two dimensions are closely related to torsion elements of the algebraic K-theory group K_3(C). If such a theory has an integrable matrix perturbation with purely elastic…

High Energy Physics - Theory · Physics 2007-05-23 Werner Nahm

Carrollian Holography aims to provide a holographic description of quantum gravity in asymptotically flat spacetimes, in terms of a novel kind of `carrollian' conformal field theory defined on the spacetime null conformal boundary…

High Energy Physics - Theory · Physics 2025-12-01 Kevin Nguyen

We show that position space correlators of a Poincare invariant quantum field theory can be recast in terms of conformally invariant correlators, in other words, as functions of conformal cross ratios. In particular, we show that…

High Energy Physics - Theory · Physics 2024-12-31 Siddharth G. Prabhu

We propose a formula relating scattering S-matrix amplitudes to correlators of a conformal field theory. The proposal implements a flat limit of the field theory, providing an indirect microscopic description of gravitational theories with…

High Energy Physics - Theory · Physics 2019-08-21 Eliot Hijano

This report reviews key developments in Carrollian physics with an emphasis on their role in the emerging framework of holography in asymptotically flat spacetimes. We begin by introducing the Carrollian limit, understood as the…

High Energy Physics - Theory · Physics 2026-02-04 Romain Ruzziconi

Causal set theory is an approach to quantum gravity in which spacetime is fundamentally discrete at the Planck scale and takes the form of a Lorentzian lattice, or "causal set", from which continuum spacetime emerges in a large-scale…

High Energy Physics - Theory · Physics 2024-05-15 Emma Albertini , Fay Dowker , Arad Nasiri , Stav Zalel

In an earlier paper we have constructed a basis of massless single particle quantum states which transform in the unitary principal series representation of the four dimensional Lorentz group. The S-matrix written in this basis gives rise…

High Energy Physics - Theory · Physics 2019-10-02 Shamik Banerjee

Scattering amplitudes at weak coupling are highly constrained by Lorentz invariance, locality and unitarity, and depend on model details only through coupling constants and particle content. In this paper, we develop an understanding of…

High Energy Physics - Theory · Physics 2019-11-01 Nima Arkani-Hamed , Daniel Baumann , Hayden Lee , Guilherme L. Pimentel

Recent attempts at the construction of holography for asymptotically flat spacetimes have taken two different routes. Celestial holography, involving a two dimensional (2d) CFT dual to 4d Minkowski spacetime, has generated novel results in…

High Energy Physics - Theory · Physics 2022-06-29 Arjun Bagchi , Shamik Banerjee , Rudranil Basu , Sudipta Dutta

In this paper, starting from pure group-theoretical point of view, we develop a regular approach to describing particles with different spins in the framework of a theory of scalar fields on the Poincare group. Such fields can be considered…

High Energy Physics - Theory · Physics 2007-05-23 D. M. Gitman , A. L. Shelepin

We investigate anisotropic conformal Carroll field theories and their holographic duals. On the field theory side, we focus on the case with scaling exponent $z=0$ in two and three spacetime dimensions. These theories exhibit…

High Energy Physics - Theory · Physics 2025-09-09 Emilie Despontin , Stephane Detournay , Sudipta Dutta , Dima Fontaine

Motivated by flat space holography, we demonstrate that massive spin-$s$ fields in Minkowski space near timelike infinity are massive carrollian fields on the carrollian counterpart of anti-de Sitter space called $\mathsf{Ti}$. Its…

High Energy Physics - Theory · Physics 2024-07-09 Emil Have , Kevin Nguyen , Stefan Prohazka , Jakob Salzer

Carrollian amplitudes are scattering amplitudes of massless particles written in position space at null infinity. We study various aspects of Carrollian amplitudes for gauge theory and gravity at loop level using primarily the modified…

High Energy Physics - Theory · Physics 2026-05-15 Vijay Nenmeli , Bin Zhu

The Carroll group arises in the vanishing speed of light limit of the Poincar\'{e} group and was initially discarded as just a mathematical curiosity. However, recent developments have proved otherwise. Carroll and conformal Carroll…

High Energy Physics - Theory · Physics 2026-05-01 Arjun Bagchi , Aritra Banerjee , Prateksh Dhivakar , Saikat Mondal , Ashish Shukla

Carrollian conformal field theory offers an alternative description of massless scattering amplitudes, that is holographic in nature. In an effort to build a framework that is both predictive and constraining, we construct operator product…

High Energy Physics - Theory · Physics 2026-04-20 Kevin Nguyen , Jakob Salzer

This paper explores the connections between particle scattering and quantum information theory in the context of the non-relativistic, elastic scattering of two spin-1/2 particles. An untangled, pure, two-particle in-state is evolved by an…

Quantum Physics · Physics 2009-11-11 N. L. Harshman

Although the whole conformal group $SO(4,2)$ can be considered as a symmetry in a classical massless field theory, the subgroup of special conformal transformations (SCT), usually related to transitions to uniformly accelerated frames,…

High Energy Physics - Theory · Physics 2007-05-23 V. Aldaya , M. Calixto , J. M. Cervero
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