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This paper discusses a framework to parametrize and decompose operator matrix elements for particles with higher spin $(j > 1/2)$ using chiral representations of the Lorentz group, i.e. the $(j,0)$ and $(0,j)$ representations and their…

High Energy Physics - Phenomenology · Physics 2025-12-16 Wim Cosyn , Frank Vera

The light-cone Hamiltonians for spin 1 and spin 2 fields, describing both the pure and the maximally supersymmetric theories, may be expressed as quadratic forms. In this paper, we show that this feature extends to light-cone higher spin…

High Energy Physics - Theory · Physics 2020-07-21 Sudarshan Ananth , Chetan Pandey , Saurabh Pant

These notes are intended to be a pedagogical introduction to higher-form symmetries, which are symmetries whose charged objects are extended operators supported on lines, surfaces, and etc. This subject has been one of the most popular and…

High Energy Physics - Theory · Physics 2023-09-20 Pedro R. S. Gomes

We report on progress in formulating a field theory of tensionless strings in $AdS_3$, starting from the dual large-$N$ symmetric orbifold CFT. We propose a set of field equations which are gauge invariant under the higher spin algebra of…

High Energy Physics - Theory · Physics 2020-01-08 Joris Raeymaekers

These lectures introduce key concepts in probability and statistical inference at a level suitable for graduate students in particle physics. Our goal is to paint as vivid a picture as possible of the concepts covered.

Data Analysis, Statistics and Probability · Physics 2007-05-23 Harrison B. Prosper

The higher-spin (HS) algebras so far known can be interpreted as the symmetries of the minimal representation of the isometry algebra. After discussing this connection briefly, we generalize this concept to any classical Lie algebras and…

High Energy Physics - Theory · Physics 2015-09-01 Euihun Joung , Karapet Mkrtchyan

Till now most of the results on interaction vertices for massless higher spin fields were obtained in a metric-like formalism using completely symmetric (spin-)tensors. In this, the Lagrangians turn out to be very complicated and the main…

High Energy Physics - Theory · Physics 2014-11-21 Yu. M. Zinoviev

Spin effects in strong interaction high energy processes are subtle phenomena which involve both short and long distance physics and test perturbative and non perturbative aspects of QCD. Moreover, depending on quantities like interferences…

High Energy Physics - Phenomenology · Physics 2008-11-26 Mauro Anselmino

In this note we provide some details on the quasi-local field redefinitions which map interactions extracted from Vasiliev's equations to those obtained via holographic reconstruction. Without loss of generality, we focus on the source to…

High Energy Physics - Theory · Physics 2017-01-23 Massimo Taronna

We use a recently proposed covariant procedure to reduce the Chern-Simons action of three-dimensional higher-spin gravity to the boundary, resulting in a Lorentz covariant action for higher-order chiral scalars. After gauge-fixing, we…

High Energy Physics - Theory · Physics 2025-04-15 Calvin Yi-Ren Chen , Euihun Joung , Karapet Mkrtchyan , Junggi Yoon

A new class of higher-spin gauge theories associated with various Coxeter groups is proposed. The emphasize is on the $B_p$--models. The cases of $B_1$ and its infinite graded-symmetric product $sym\,(\times B_1)^\infty$ correspond to the…

High Energy Physics - Theory · Physics 2018-08-29 M. A. Vasiliev

The monograph summarizes the author's results on the geometry of anholonomic and locally anisotropic interactions, published in J. Math. Phys., Nucl. Phys. B, Ann. Phys. (NY), JHEP, Rep. Math. Phys., Int. J. Theor. Phys. and in some former…

Mathematical Physics · Physics 2007-05-23 Sergiu I. Vacaru

We outline a program for interpreting the higher-spin dS/CFT model in terms of physics in the causal patch of a dS observer. The proposal is formulated in "elliptic" de Sitter space dS_4/Z_2, obtained by identifying antipodal points in…

High Energy Physics - Theory · Physics 2019-12-03 Illan F. Halpern , Yasha Neiman

We obtain a non-relativistic chiral massive higher-spin gravity in a deformed $AdS_3$ spacetime by applying a Lifshitz deformation and subsequent null reduction to chiral massless higher-spin gravity in $AdS_4$. Intriguingly, the vertices…

High Energy Physics - Theory · Physics 2025-11-27 Arpita Mitra , Debangshu Mukherjee , Tung Tran

It is shown that the coefficient of the cubic interaction vertex, in higher spin Lagrangians, has a very simple form when written in terms of spinor helicity products. The result for a higher-spin field, of spin $\lambda$, is equal to the…

High Energy Physics - Theory · Physics 2020-02-26 Sudarshan Ananth

Recently, a unique class of local Higher Spin Gravities with propagating massless fields in $4d$ - Chiral Higher Spin Gravity - was given a covariant formulation both in flat and $(A)dS_4$ spacetimes at the level of equations of motion. We…

High Energy Physics - Theory · Physics 2023-04-05 Alexey Sharapov , Evgeny Skvortsov , Arseny Sukhanov , Richard Van Dongen

Motivated by string field theory, we explore various algebraic aspects of higher spin theory and Vasiliev equation in terms of homotopy algebras. We present a systematic study of unfolded formulation developed for the higher spin equation…

High Energy Physics - Theory · Physics 2020-08-21 Si Li , Keyou Zeng

This is the preliminary manuscript of a book on symplectic field theory based on a lecture course for PhD students given in 2015-16. It covers the essentials of the analytical theory of punctured pseudoholomorphic curves, taking the…

Symplectic Geometry · Mathematics 2016-12-09 Chris Wendl

We discuss the prospects to observe effects of transverse polarization and spin-spin correlations of top quark pairs produced at hadron colliders.

High Energy Physics - Phenomenology · Physics 2007-05-23 Arnd Brandenburg

Analysis of the first-order corrections to higher-spin equations is extended to homotopy operators involving shift parameters with respect to the spinor $Y$ variables, the argument of the higher-spin connection $\omega(Y)$ and the argument…

High Energy Physics - Theory · Physics 2023-04-05 A. A. Tarusov , K. A. Ushakov , M. A. Vasiliev