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Two-point correlators and self-correlators of primordial perturbations in quasi-de Sitter spacetime backgrounds are considered. For large separations two-point correlators exhibit nearly scale invariance, while for short distances…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Adrian del Rio , Jose Navarro-Salas

We construct superconformal invariants in superspace which are used to build 3-point correlators of spinning operators in general $\cal{N}=2$ superconformal field theories in three dimensions. Our systematic analysis includes various…

High Energy Physics - Theory · Physics 2022-12-22 Aditya Jain , Amin A. Nizami

In cosmology, correlation functions on a late-time boundary can arise from both field redefinitions and bulk interactions, which are usually believed to generate distinct results. In this letter, we propose a counterexample showcasing that…

High Energy Physics - Theory · Physics 2025-09-01 Donggang Wang , Xiangwei Wang , Yi Wang , Wenqi Yu

In this paper, we continue our study of form factors and correlation functions of gauge-invariant local composite operators in the twistor-space formulation of N=4 super Yang-Mills theory. Using the vertices for these operators obtained in…

High Energy Physics - Theory · Physics 2017-05-23 Laura Koster , Vladimir Mitev , Matthias Staudacher , Matthias Wilhelm

We study unitary conformal field theories with a unique stress tensor and at least one higher-spin conserved current in d>3 dimensions. We prove that every such theory contains an infinite number of higher-spin conserved currents of…

High Energy Physics - Theory · Physics 2016-04-20 Vasyl Alba , Kenan Diab

We develop a theory of massive spinning particles interacting with background fields in four spacetime dimensions in which holomorphy and chirality play a central role. Applying a perturbation theory of symplectic forms to the massive…

High Energy Physics - Theory · Physics 2023-08-09 Joon-Hwi Kim , Sangmin Lee

In this work a proposal for definition of twistors on generic curved spaces is exposed and investigated. We consider superpositions of nearly autoparallel and nearly geodesic maps (nearly conformal maps, nc-maps) of (pseudo-)Riemannian…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Sergiu I. Vacaru , Sergiu V. Ostaf

In this paper, we develop a momentum super space formalism for $\mathcal{N}=1,2$ superconformal field theories in three dimensions. First, we solve for super-correlators in the usual momentum superspace variables. However, we found that…

High Energy Physics - Theory · Physics 2023-12-07 Sachin Jain , Dhruva K. S , Deep Mazumdar , Shivang Yadav

We study conserved currents of any integer or half integer spin built from massless scalar and spinor fields in $AdS_3$. 2-forms dual to the conserved currents in $AdS_3$ are shown to be exact in the class of infinite expansions in higher…

High Energy Physics - Theory · Physics 2009-10-31 Sergey Prokushkin , Mikhail Vasiliev

Dissipative mechanical systems on the torus with a friction that is proportional to the velocity are modeled by conformally symplectic maps on the annulus, which are maps that transport the symplectic form into a multiple of itself (with a…

Dynamical Systems · Mathematics 2021-02-03 Renato Calleja , Marta Canadell , Alex Haro

In these lectures I will discuss the following topics: (1) Twistors in 4 flat dimensions: Massless particles; constrained phase space (x,p) versus twistors; Physical states in twistor space. (2) Introduction to 2T-physics and derivation of…

High Energy Physics - Theory · Physics 2007-05-23 Itzhak Bars

A key insight of the bootstrap approach to cosmological correlations is the fact that all correlators of slow-roll inflation can be reduced to a unique building block---the four-point function of conformally coupled scalars, arising from…

High Energy Physics - Theory · Physics 2021-02-03 Daniel Baumann , Carlos Duaso Pueyo , Austin Joyce , Hayden Lee , Guilherme L. Pimentel

We calculate the four point correlation function for scalar perturbations in the canonical model of slow-roll inflation. We work in the leading slow-roll approximation where the calculation can be done in de Sitter space. Our calculation…

High Energy Physics - Theory · Physics 2014-10-14 Archisman Ghosh , Nilay Kundu , Suvrat Raju , Sandip P. Trivedi

Cosmological correlators are important observables in cosmology. They are often approximated by de Sitter space correlators. In this paper, we give a first precise diagrammatical computation of higher loop diagrams to all orders for a…

High Energy Physics - Theory · Physics 2025-07-30 Matthias Nowinski , Ivo Sachs

By viewing current in the detecting lead of a spintronic device as being an ensemble of flowing spins corresponding to a mixed quantum state, where each spin itself is generally described by an improper mixture generated during the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Branislav K. Nikolic , Satofumi Souma

A twistorial formulation of the N=1 D=4 superparticle with tensorial central charges describing massive and massless cases in uniform manner is given. The twistors resolve energy-momentum vector whereas the tensorial central charges are…

High Energy Physics - Theory · Physics 2007-05-23 S. Fedoruk , V. G. Zima

Strongly interacting spins underlie many intriguing phenomena and applications ranging from magnetism to quantum information processing. Interacting spins combined with motion display exotic spin transport phenomena, such as superfluidity…

Twistors appear to provide a satisfactory treatment of angular momentum for gravitationally radiating systems. The approach is manifestly Bondi-Metzner-Sachs (BMS) invariant, and there are no supertranslation ambiguities. The resulting…

General Relativity and Quantum Cosmology · Physics 2021-12-01 Adam D. Helfer

The cosmological evolution of free massless vector or tensor (but not gauge) fields minimally coupled to gravity is analyzed. It is shown that there are some unstable solutions for these fields in De Sitter background. The back reaction of…

Astrophysics · Physics 2009-12-30 A. D. Dolgov

We use the embedding of Einstein gravity with cosmological constant into conformal gravity as a basis for using the twistor action for conformal gravity to obtain MHV scattering amplitudes not just for conformal gravity, but also for…

High Energy Physics - Theory · Physics 2015-06-16 Tim Adamo , Lionel Mason
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