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We study tree-level celestial amplitudes in Yang-Mills theory -- Mellin transforms of multi-gluon scattering amplitudes that convert them into the correlators of conformal primary fields on two-dimensional celestial sphere. By using purely…

High Energy Physics - Theory · Physics 2019-06-26 Wei Fan , Angelos Fotopoulos , Tomasz R. Taylor

We initiate the study of non- and ultra-relativistic higher spin theories. For sake of simplicity we focus on the spin-3 case in three dimensions. We classify all kinematical algebras that can be obtained by all possible In\"on\"u--Wigner…

High Energy Physics - Theory · Physics 2017-01-30 Eric Bergshoeff , Daniel Grumiller , Stefan Prohazka , Jan Rosseel

We compute boundary three-point functions involving two scalars and a gauge field of arbitrary spin in the AdS vacuum of Vasiliev's higher spin gravity, for any deformation parameter \lambda. In the process, we develop tools for extracting…

High Energy Physics - Theory · Physics 2017-08-23 Martin Ammon , Per Kraus , Eric Perlmutter

In this note, we present a novel formulation of 4d pure Yang-Mills theory within the unfolded framework of Vasiliev higher-spin gravity. This formulation is first-order and exhibits manifest diffeomorphism and gauge invariance. Our approach…

High Energy Physics - Theory · Physics 2026-01-12 Nikita Misuna

We consider a construction of the fundamental spin representations of the simple Lie algebras $\mathfrak{so}(n)$ in terms of binary arithmetic of fixed width integers. This gives the spin matrices as a Lie subalgebra of a…

Representation Theory · Mathematics 2024-03-05 Henrik Winther

BFSS proposed that asymptotically flat M-theory is dual to a large $N$ limit of the matrix quantum mechanics describing $N$ nonrelativistic D0-branes. Recent insights on the soft symmetries of any quantum theory of gravity in asymptotically…

High Energy Physics - Theory · Physics 2022-09-01 Noah Miller , Andrew Strominger , Adam Tropper , Tianli Wang

This is the second of a series of two papers devoted to the partition function realization of Wilson surfaces in strict higher gauge theory. A higher 2--dimensional counterpart of the topological coadjoint orbit quantum mechanical model…

High Energy Physics - Theory · Physics 2023-01-25 Roberto Zucchini

We consider the exact superpotential of N=1 super Yang-Mills theory with gauge group SO(N) and arbitrary tree-level polynomial superpotential of one adjoint Higgs field. A field-theoretic derivation of the glueball superpotential is given,…

High Energy Physics - Theory · Physics 2010-04-05 R. A. Janik , N. A. Obers

Continuing our program of deriving aspects of celestial holography from string theory, we extend the Roiban-Spradlin-Volovich-Witten (RSVW) formalism to celestial amplitudes. We reformulate the tree-level maximally-helicity-violating (MHV)…

High Energy Physics - Theory · Physics 2025-01-30 Igor Mol

We explain how twistor theory represents the self-dual sector of four dimensional gravity in terms of the loop group of Poisson diffeomorphisms of the plane via Penrose's non-linear graviton construction. The symmetries of the self-dual…

High Energy Physics - Theory · Physics 2022-03-09 Tim Adamo , Lionel Mason , Atul Sharma

We present a `spinon formulation' of the $SU(n)_1$ Wess-Zumino-Witten models. Central to this approach are a set of massless quasi-particles, called `spinons', which transform in the representation ${\bf \bar{n}}$ of $su(n)$ and carry…

High Energy Physics - Theory · Physics 2009-10-30 P. Bouwknegt , K. Schoutens

In an odd-dimensional spacetime, gravity can be formulated as a proper gauge theory based on the Chern-Simons action for a suitable gauge group. Performing dimensional reduction, one obtains, as an effective theory, Chamseddine's…

High Energy Physics - Theory · Physics 2024-01-31 Dušan Đorđević , Dragoljub Gočanin

We explore the prospects for bounding the weak scale using the weak gravity conjecture (WGC), addressing the hierarchy problem by violating the expectations of effective field theory. Building on earlier work by Cheung and Remmen, we…

High Energy Physics - Phenomenology · Physics 2019-10-02 Nathaniel Craig , Isabel Garcia Garcia , Seth Koren

We present the superfield generalization of free higher spin equations in tensorial superspaces and analyze tensorial supergravities with GL(n) and SL(n) holonomy as a possible framework for the construction of a non-linear higher spin…

High Energy Physics - Theory · Physics 2009-11-10 Igor Bandos , Paolo Pasti , Dmitri Sorokin , Mario Tonin

We extend the celestial Roiban-Spradlin-Volovich-Witten (RSVW) formalism developed in our previous work to minitwistor superspace. Using the Drummond-Henn formula for all tree-level amplitudes in N=4 supersymmetric Yang-Mills (SYM) theory,…

High Energy Physics - Theory · Physics 2026-05-26 Igor Mol

Higher-spin vertices containing up to quintic interactions at the Lagrangian level are explicitly calculated in the one-form sector of the non-linear unfolded higher-spin equations using a $\beta\to-\infty$--shifted contracting homotopy…

High Energy Physics - Theory · Physics 2020-01-29 V. E. Didenko , O. A. Gelfond , A. V. Korybut , M. A. Vasiliev

We present a complete solution to the problem of Formal Higher Spin Gravities --- formally consistent field equations that gauge a given higher spin algebra and describe free higher spin fields upon linearization. The problem is shown to be…

High Energy Physics - Theory · Physics 2019-05-01 A. A. Sharapov , E. D. Skvortsov

The single-soft-graviton limit of any quantum gravity scattering amplitude is given at leading order by the universal Weinberg pole formula. Gauge invariance of the formula follows from global energy-momentum conservation. In this paper…

High Energy Physics - Theory · Physics 2014-06-11 Freddy Cachazo , Andrew Strominger

We propose a Lorentz-covariant Yang-Mills ``spin-gauge'' theory, where the function valued Pauli matrices play the role of a non-scalar Higgs-field. As symmetry group we choose $SU(2) \times U(1)$ of the 2-spinors describing…

General Relativity and Quantum Cosmology · Physics 2008-11-26 H. Dehnen , E. Hitzer

Using the covariant phase space formalism, we construct the phase space for non-Abelian gauge theories in $(d+2)$-dimensional Minkowski spacetime for any $d \geq 2$, including the edge modes that symplectically pair to the low energy…

High Energy Physics - Theory · Physics 2024-06-05 Temple He , Prahar Mitra