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Related papers: A $d$-Dimensional Stress Tensor for Mink$_{d+2}$ G…

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Twistors in four dimensions d=4 have provided a convenient description of massless particles with any spin, and this led to remarkable computational techniques in Yang-Mills field theory. Recently it was shown that the same d=4 twistor…

High Energy Physics - Theory · Physics 2008-11-26 Itzhak Bars , Moises Picon

We consider soft graviton scattering for a theory where Einstein's gravity is minimally coupled to a scalar field in the presence of a cosmological constant, i.e. in a background de Sitter space. Employing a perturbative expansion in a…

High Energy Physics - Theory · Physics 2025-12-08 Divyesh N. Solanki , Pratik Chattopadhyay , Srijit Bhattacharjee

This chapter reviews the construction of ``soft-collinear gravity'', the effective field theory which describes the interaction of collinear and soft gravitons with matter (and themselves), to all orders in the soft-collinear power…

High Energy Physics - Theory · Physics 2022-10-20 Martin Beneke , Patrick Hager , Robert Szafron

In 2507.17558, we provide a map from a scalar theory on $(D+2)$-dimensional Minkowski spacetime to a scalar theory with a continuous mass spectrum on $(D+1)$-dimensional de Sitter spacetime, and propose a link between celestial amplitudes…

High Energy Physics - Theory · Physics 2026-01-26 Hideo Furugori , Naoki Ogawa , Sotaro Sugishita , Takahiro Waki

Soft factorization theorems can be reinterpreted as Ward identities for (asymptotic) symmetries of scattering amplitudes in asymptotically flat space-time. In this paper we study the symmetries implied by the all loop soft photon theorems…

High Energy Physics - Theory · Physics 2026-03-11 Shamik Banerjee , Raju Mandal , Biswajit Sahoo

We consider a $SO(d)$ gauge theory in an Euclidean $d$-dimensional space-time, which is known to be renormalizable to all orders in perturbation theory for $2\le{d}\le4$. Then, with the help of a space-time representation of the gauge…

High Energy Physics - Theory · Physics 2008-11-26 R. F. Sobreiro , V. J. Vasquez Otoya

Nontrivial translation matrices occur for spin (A,B)+(C,D) with |A-C| = |B-D| = 1/2, necessarily associating a (C,D) field with a spin (A,B) field. Including translation matrices in covariant non-unitary Poincare representations also…

High Energy Physics - Theory · Physics 2007-05-23 Richard Shurtleff

In [1,2] it was shown that the subleading soft photon theorem in tree level amplitudes in massless QED is equivalent to a new class of symmetries of the theory parameterized by a vector field on the celestial sphere. In this paper, we…

High Energy Physics - Theory · Physics 2018-07-04 Alok Laddha , Prahar Mitra

By boosting the vertex operators of Witten's $SL(2,R)/U(1)$ black hole, we show that in the region V they lead to the primary fields of $c=1$ matter coupled to gravity at nonzero cosmological constant, while there is no such correspondence…

High Energy Physics - Theory · Physics 2008-02-03 M. Alimohammadi , F. Ardalan

We present new soft theorems for photon, gluon, and graviton correlators at tree level in (Anti)-de Sitter space. The results are derived by applying conformal Ward identities to constrain the structure of Witten diagrams.

High Energy Physics - Theory · Physics 2025-06-16 Jiajie Mei , Yuyu Mo

The monograph offers a coherent and self-contained treatment of massless (ladder) representations of the conformal group U(2,2) and their restriction to the de Sitter group Sp(2,2), combining rigorous representation-theoretic analysis with…

Mathematical Physics · Physics 2026-04-07 Jean-Pierre Gazeau , Hamed Pejhan , Ivan Todorov

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

We consider a class of 6D superconformal field theories (SCFTs) which have a large $N$ limit and a semi-classical gravity dual description. Using the quiver-like structure of 6D SCFTs we study a subsector of operators protected from large…

High Energy Physics - Theory · Physics 2020-11-19 Jonathan J. Heckman

A recent complete, explicit classification of all locally constructed symmetries and currents for free spinorial massless spin s fields on Minkowski space is summarized and extended to give a classification of all covariant symmetry…

Mathematical Physics · Physics 2007-05-23 Stephen C. Anco , Juha Pohjanpelto

We derive a compact analytic formula for a complete basis of conformally invariant tensor structures for three-point functions of conserved operators in arbitrary 4D Lorentz representations. The construction follows directly from a novel…

High Energy Physics - Theory · Physics 2026-01-09 Paul Heslop , Hector Puerta Ramisa

Celestial diamonds encode the global conformal multiplets of the conformally soft sector, elucidating the role of soft theorems, symmetry generators and Goldstone modes. Upon adding supersymmetry they stack into a pyramid. Here we treat the…

High Energy Physics - Theory · Physics 2022-01-05 Yorgo Pano , Sabrina Pasterski , Andrea Puhm

We construct, for spin $0,1,2$ tensor fields on S$^d$, a set of ladder operators that connect the distinct UIRs of SO$(d+1)$. This is achieved by relying on the conformal Killing vectors of S$^d$. For the case of spinning fields, the ladder…

High Energy Physics - Theory · Physics 2024-10-30 Vasileios A. Letsios , Matías N. Sempé , Guillermo A. Silva

I study the physical Fock space of the tensionless string theory with perimeter action, exploring its new gauge symmetry algebra. The cancellation of conformal anomaly requires the space-time to be 13-dimensional. All particles are massless…

High Energy Physics - Theory · Physics 2009-11-10 G. Savvidy

We study the tree-level scattering of massless scalars followed by an emission of a soft graviton in the small compact region inside the static patch in de Sitter space. We derive in the small cosmological constant limit the perturbative…

High Energy Physics - Theory · Physics 2026-03-02 Pratik Chattopadhyay , Divyesh N. Solanki

In this paper, we present a simple chiral 2d theory living on a momentum space celestial sphere whose behaviour exactly produces various IR dynamics of recent resurged interests for 4d (selfdual) Einstein gravity in asymptotically flat…

High Energy Physics - Theory · Physics 2024-12-31 Wei Bu , Sean Seet