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Large-$N$, $\epsilon$-expansion or the conformal bootstrap allow one to make sense of some of conformal field theories in non-integer dimension, which suggests that AdS/CFT may also extend to fractional dimensions. It was shown recently…

High Energy Physics - Theory · Physics 2017-08-29 E. D. Skvortsov , Tung Tran

We consider free massive and massless higher integer spins in AdS backgrounds in general D dimensions. We obtain the solutions corresponding to the highest-weight state of the spin-\ell representations of the SO(2,D-1) isometry groups. The…

High Energy Physics - Theory · Physics 2015-05-30 H. Lu , Kai-Nan Shao

We study N <= 2 superconformal and supersymmetric theories on Lorentzian threemanifolds with a view toward holographic applications, in particular to BPS black hole solutions. As in the Euclidean case, preserved supersymmetry for…

High Energy Physics - Theory · Physics 2015-06-15 Kiril Hristov , Alessandro Tomasiello , Alberto Zaffaroni

Various exact two-dimensional conformal field theories with AdS_{2d+1} target space are constructed. These models can be solved using bosonization techniques. Some examples are presented that can be used in building perturbative superstring…

High Energy Physics - Theory · Physics 2010-02-03 Jan de Boer , Samson L. Shatashvili

We consider high-derivative equations obtained setting to zero the divergence of the higher-spin curvatures in metric-like form, showing their equivalence to the second-order equations emerging from the tensionless limit of open string…

High Energy Physics - Theory · Physics 2012-11-19 Dario Francia

The "fully charged" spin-2 field solution is presented. This is an analog of the Coulomb solution in electrodynamics and represents the "non-waving" part of the spin-2 field theory. Basic facts and definitions of the spin--2 field and…

General Relativity and Quantum Cosmology · Physics 2015-01-14 Jacek Jezierski , Szymon Migacz

We propose field equations for the conformal higher spin system in three dimensions coupled to a conformal scalar field with a sixth order potential. Both the higher spin equation and the unfolded equation for the scalar field have source…

High Energy Physics - Theory · Physics 2016-09-21 Bengt E. W. Nilsson

The linearized spectrum and the algebra of global symmetries of conformal higher-spin gravity decompose into infinitely many representations of the conformal algebra. Their characters involve divergent sums over spins. We propose a suitable…

High Energy Physics - Theory · Physics 2018-12-26 Thomas Basile , Xavier Bekaert , Euihun Joung

Can the holographic principle be extended beyond the well known AdS/CFT correspondence? During the last couple of years there has been a substantial amount of research trying to find answers for this question. In this work we provide a…

High Energy Physics - Theory · Physics 2018-01-30 Stefan Prohazka , Max Riegler

We present a simple construction of solutions to the supersymmetric higher spin theory based on solutions to bosonic theories. We illustrate this for the case of the Didenko-Vasiliev solution in arXiv:0906.3898, for which we have found a…

High Energy Physics - Theory · Physics 2015-05-20 Jun Bourdier , Nadav Drukker

This contribution discusses the recent progress in research of consistent supersymmetric interactions of AdS(5) higher spin gauge fields.

High Energy Physics - Theory · Physics 2007-05-23 K. B. Alkalaev

We construct a double field theory coupled to the fields present in Vasiliev's equations. Employing the "semi-covariant" differential geometry, we spell a functional in which each term is completely covariant with respect to…

High Energy Physics - Theory · Physics 2016-07-14 Xavier Bekaert , Jeong-Hyuck Park

This paper proposes a research program into how the special properties of the cubic chiral higher spin gravity theory may play a role in conformal cyclic cosmology and black hole physics, in particular for the black hole information…

General Relativity and Quantum Cosmology · Physics 2025-07-10 Anders K. H. Bengtsson

There is a great number of higher-spin gravities in $3d$ that can have both finite and infinite spectra of fields and can be formulated as Chern-Simons theories. It was believed that this is impossible in higher dimensions, where…

High Energy Physics - Theory · Physics 2025-05-20 Mattia Serrani

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

We study the chiral higher-spin symmetry algebras $\mathfrak{ca}$ of various twistorial higher-spin theories. These symmetries play the roles of asymptotic symmetries on the celestial twistor sphere, which constrain the observables of…

High Energy Physics - Theory · Physics 2025-12-30 Tung Tran

We study the formulation of massless higher-spin gravity on AdS$_3$ in a gauge in which the fundamental variables satisfy free field Poisson brackets. This gauge choice leaves a small portion of the gauge freedom unfixed, which should be…

High Energy Physics - Theory · Physics 2018-04-04 Andrea Campoleoni , Stefan Fredenhagen , Joris Raeymaekers

The dynamics of totally symmetric free massless higher spin fields in $AdS_d$ is reformulated in terms of the compensator formalism for AdS gravity. The $AdS_5$ higher spin algebra is identified with the star product algebra with the…

High Energy Physics - Theory · Physics 2011-05-05 M. A. Vasiliev

A brief review of the harmonic superspace approach to the construction of $\mathcal{N}=2$ supersymmetric higher spin theories is given. We define off-shell analytic harmonic gauge potentials of $\mathcal{N}=2$ supersymmetric higher-spin…

High Energy Physics - Theory · Physics 2024-09-13 Ioseph Buchbinder , Evgeny Ivanov , Nikita Zaigraev

We give a brief overview of some three-dimensional toy models for higher-spin interactions. We first review the construction of pure higher-spin gauge theories in terms of Chern-Simons theories. We then discuss how this setup could be…

High Energy Physics - Theory · Physics 2011-10-27 Andrea Campoleoni