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Related papers: A New Twist on Spinning (A)dS Correlators

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The identification of integrable dynamics remains a formidable challenge, and despite centuries of research, only a handful of examples are known to date. In this article, we explore a special form of area-preserving (symplectic) mappings…

Exactly Solvable and Integrable Systems · Physics 2025-10-21 Timofey Zolkin , Yaroslav Kharkov , Sergei Nagaitsev

The superspace formulation of the worldvolume action of twistor string models is considered. It is shown that for the Berkovits-Siegel closed twistor string such a formulation is provided by a N=4 twistor-like action of the tensionless…

High Energy Physics - Theory · Physics 2011-07-19 Igor A. Bandos , Jose A. de Azcarraga , Cesar Miquel-Espanya

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

Cosmological correlation functions are significantly more complex than their flat-space analogues, such as tree-level scattering amplitudes. While these amplitudes have simple analytic structure and clear factorisation properties,…

High Energy Physics - Theory · Physics 2024-09-04 Denis Werth

Consistency conditions for the local existence of massless spin 3/2 fields has been explored that the field equations for massless helicity 3/2 are consistent iff the space-time is Ricci-flat and that in Minkowski space-time the space of…

High Energy Physics - Theory · Physics 2009-11-07 Mitsuo J. Hayashi

We construct massless infinite spin irreducible representations of the six-dimensional Poincar\'{e} group in the space of fields depending on twistor variables. It is shown that the massless infinite spin representation is realized on the…

High Energy Physics - Theory · Physics 2021-11-10 I. L. Buchbinder , S. A. Fedoruk , A. P. Isaev

According to one of many equivalent definitions of twistors a (null) twistor is a null geodesic in Minkowski spacetime. Null geodesics can intersect at points (events). The idea of Penrose was to think of a spacetime point as a derived…

High Energy Physics - Theory · Physics 2007-05-23 Kirill Krasnov

By means of variational methods and systematic numerical analysis, we demonstrate the existence of stable solitons in three-dimensional (3D) free space, in the context of binary atomic condensates combining contact self-attraction and…

Quantum Gases · Physics 2015-12-23 Yong-Chang Zhang , Zheng-Wei Zhou , Boris A. Malomed , Han Pu

We present the details of a recently discovered representation of conformal four-point ladder integrals as thermal one-point functions in scalar field theories. We show that the conformal ladder integrals can be constructed from the…

High Energy Physics - Theory · Physics 2025-10-17 Manthos Karydas , Songyuan Li , Anastasios C. Petkou , Matthieu Vilatte

The twistor construction is applied for obtaining examples of generalized complex structures (in the sense of N. Hitchin) that are not induced by a complex or a symplectic structure.

Differential Geometry · Mathematics 2009-11-11 Johann Davidov , Oleg Mushkarov

The purpose of this work is to return, with a new observation and rather unconventional point of view, to the study of asymptotically flat solutions of Einstein equations. The essential observation is that from a given asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Carlos. Kozameh , E. T. Newman , Gilberto Silva-Ortigoza

This paper is intended to describe twistors via the paravector model of Clifford algebras and to relate such description to conformal maps in the Clifford algebra over R(4,1), besides pointing out some applications of the pure spinor…

Mathematical Physics · Physics 2007-05-23 Roldao da Rocha , Jayme Vaz

Insulating materials with dynamical spin degrees of freedom have recently emerged as viable conduits for spin flows. Transport phenomena harbored therein are, however, turning out to be much richer than initially envisioned. In particular,…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 Yaroslav Tserkovnyak

We study the consistency of the cubic couplings of a (partially-)massless spinning field to two scalars in $\left(d+1\right)$-dimensional de Sitter space. Gauge invariance of observables with external (partially)-massless spinning fields…

High Energy Physics - Theory · Physics 2021-11-10 Charlotte Sleight , Massimo Taronna

Motivated by the success of Hodges' momentum twistor variables in planar Yang-Mills, in this note we introduce a set of new variables, the S variables, which are tailored for gravity (or more generally for theories without color ordering).…

High Energy Physics - Theory · Physics 2012-05-02 Yuxiang Gu

In this paper we consider the Dirac spinor field in interaction with a background of electrodynamics and torsion-gravity; by performing the polar reduction we acquire the possibility to introduce a new set of objects that have the…

General Physics · Physics 2019-01-14 Luca Fabbri

We show that Poincar\'e invariance directly implies the existence of a complexified Minkowski space whose real and imaginary directions unify spacetime and spin, which we dub spinspacetime. Despite the intrinsic noncommutativity of spin,…

High Energy Physics - Theory · Physics 2025-04-23 Joon-Hwi Kim

We construct spectra of supersymmetric higher spin theories in D=4, 5 and 7 from twistors describing massless (super-)particles on AdS spaces. A massless twistor transform is derived in a geometric way from classical kinematics. Relaxing…

High Energy Physics - Theory · Physics 2009-11-10 Martin Cederwall

We examine the behavior of correlation functions for a massless scalar field in de Sitter space with a quartic interaction. We find that two-loop corrections are relevant, and that the resummation of these corrections generates a…

High Energy Physics - Theory · Physics 2015-09-30 Arvind Rajaraman

The phase space of a Hamiltonian system is symplectic. However, the post-Newtonian Hamiltonian formulation of spinning compact binaries in existing publications does not have this property, when position, momentum and spin variables $[X, P,…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Xin Wu , Yi Xie