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Related papers: Currents of Arbitrary Spin in $AdS_3$

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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 2007-05-23 Sergey Prokushkin , Mikhail Vasiliev

Conserved currents of any spin $t>0$ built from bosonic symmetric massless gauge fields of arbitrary integer spins in $AdS_4$ are found. Analogously to the case of $4d$ Minkowski space, currents considered in this paper are not gauge…

High Energy Physics - Theory · Physics 2024-05-13 P. A. Smirnov , M. A. Vasiliev

Gauge invariant conserved conformal currents built from massless fields of all spins in 4d Minkowski space-time and $AdS_4$ are described within the unfolded dynamics approach. The current cohomology associated with non-zero conserved…

High Energy Physics - Theory · Physics 2016-01-21 O. A. Gelfond , M. A. Vasiliev

Conserved currents of any spin $t>0$ built from symmetric massless gauge fields of any integer spin $s \geq t$ in {4d} Minkowski space are found. In particular, stress-energy tensor for a higher-spin field of any spin is constructed.…

High Energy Physics - Theory · Physics 2015-01-26 P. A. Smirnov , M. A. Vasiliev

The full list of conserved conformal higher spin currents built from massless scalar and spinor fields is presented. It is shown that, analogously to the relationship between usual conformal and AdS symmetries, the set of the conformal…

High Energy Physics - Theory · Physics 2009-10-31 S. E. Konstein , M. A. Vasiliev , V. N. Zaikin

Within the framework of (2,0) anti-de Sitter (AdS) supersymmetry in three dimensions, we propose a multiplet of higher-spin currents. Making use of this supercurrent, we construct two off-shell gauge formulations for a massless multiplet of…

High Energy Physics - Theory · Physics 2018-12-19 Jessica Hutomo , Sergei M. Kuzenko

Scalar field theories in $\text{(A)dS}_{2}$ with integer scaling dimensions $\Delta = k+1$ are characterised by the existence of a pair of (anti-)holomorphic higher-spin currents. We explore the consequences of this to describe their…

High Energy Physics - Theory · Physics 2026-01-30 Calvin Y. -R. Chen , Lukas W. Lindwasser , Massimo Porrati

Higher-spin conserved currents and charges feature prominently in integrable 2d QFTs in flat space. Motivated by the question of integrable field theories in AdS space, we consider the consequences of higher-spin currents for QFTs in…

High Energy Physics - Theory · Physics 2026-03-25 António Antunes , Nat Levine , Marco Meineri

We give an explicit superspace construction of higher spin conserved supercurrents built out of $4D,\mathcal{N}=1$ massless supermultiplets of arbitrary spin. These supercurrents are gauge invariant and generate a large class of cubic…

High Energy Physics - Theory · Physics 2018-08-29 I. L. Buchbinder , S. James Gates , Konstantinos Koutrolikos

Infinite set of higher spin conserved charges is found for the $sp(2M)$ symmetric dynamical systems in $\f{1}{2} M (M+1)$-dimensional generalized spacetime $\M_M$. Since the dynamics in $\M_M$ is equivalent to the conformal dynamics of…

High Energy Physics - Theory · Physics 2007-05-23 M. A. Vasiliev

Using unfolded formulation of free equations for massless fields of all spins we obtain explicit form of higher-spin conformal conserved charges bilinear in 4d massless fields of arbitrary spins.

High Energy Physics - Theory · Physics 2008-11-26 O. A. Gelfond , E. D. Skvortsov , M. A. Vasiliev

We present the full list of conserved currents built of two massless spinor fields in Minkowski space and their derivatives multiplied by Clifford algebra elements. The currents have particular mixed-symmetry type described by Young…

High Energy Physics - Theory · Physics 2015-06-05 K. B. Alkalaev

A complete and explicit classification of all locally constructed conserved currents and underlying conserved tensors is obtained for massless linear symmetric spinor fields of any spin s>0 in four dimensional flat spacetime. These results…

Mathematical Physics · Physics 2009-11-07 Stephen C. Anco , Juha Pohjanpelto

Tensionless string theory on AdS3 x S3 x T4, as captured by a free symmetric product orbifold, has a large set of conserved currents which can be usefully organised in terms of representations of a N=(4,4) supersymmetric higher spin…

High Energy Physics - Theory · Physics 2015-02-12 Matthias R Gaberdiel , Rajesh Gopakumar

A recent complete, explicit classification of all locally constructed symmetries and currents for free spinorial massless spin s fields on Minkowski space is summarized and extended to give a classification of all covariant symmetry…

Mathematical Physics · Physics 2007-05-23 Stephen C. Anco , Juha Pohjanpelto

We show explicitly that all partially and strictly massless fields with spins s<=3 in (A)dS have null propagation. Assuming that this property holds also for s>3, we derive the mass-cosmological constant tunings required to yield all higher…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , A. Waldron

This thesis presents the general structure of non-conformal higher-spin supercurrent multiplets in three and four spacetime dimensions. Such supercurrents are in one-to-one correspondence with off-shell massless higher-spin gauge…

High Energy Physics - Theory · Physics 2020-09-03 Jessica Hutomo

We extend to its spin~3/2 supersymmetric partner the very recent demonstration that the massless limit of massive spin~2 exchange amplitudes can be made continuous in background AdS spaces, in contrast to the known flat space…

High Energy Physics - Theory · Physics 2008-11-26 S. Deser , A. Waldron

We derive the propagators for higher-spin master fields in anti-de Sitter space of arbitrary dimension. A method is developed to construct the propagators directly without solving any differential equations. The use of the ambient space,…

High Energy Physics - Theory · Physics 2015-06-05 V. E. Didenko , E. D. Skvortsov

In a conformally flat three-dimensional spacetime, the linearised higher-spin Cotton tensor $\mathfrak{C}_{\alpha(n)}(h)$ is the unique conserved conformal current which is a gauge-invariant descendant of the conformal gauge prepotential…

High Energy Physics - Theory · Physics 2021-06-16 Sergei M. Kuzenko , Michael Ponds
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