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The correlators of free four dimensional conformal field theories (CFT4) have been shown to be given by amplitudes in two-dimensional $so(4,2)$ equivariant topological field theories (TFT2), by using a vertex operator formalism for the…

High Energy Physics - Theory · Physics 2020-08-13 Robert de Mello Koch , Sanjaye Ramgoolam

Recent investigation of locality problem for higher-spin fields led to a vertex reconstruction procedure that involved elements of contraction of the original Vasiliev interaction algebra. Inspired by these results we propose the…

High Energy Physics - Theory · Physics 2022-12-08 V. E. Didenko

We study quantum dilaton coupled spinors in two and four dimensions. Making classical transformation of metric, dilaton coupled spinor theory is transformed to minimal spinor theory with another metric and in case of 4d spinor also in the…

High Energy Physics - Theory · Physics 2009-09-17 Peter van Nieuwenhuizen , Shin'ichi Nojiri , Sergei D. Odintsov

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

2T-gravity in d+2 dimensions predicts 1T General Relativity (GR) in d dimensions, augmented with a local scale symmetry known as the Weyl symmetry in 1T field theory. The emerging GR comes with a number of constraints, particularly on…

High Energy Physics - Theory · Physics 2009-11-13 Itzhak Bars , Shih-Hung Chen

In this work, building up on [1] we present momentum space Ward identities related to broken higher spin symmetry as an alternate approach to computing correlators of spinning operators in interacting theories such as the quasi-fermionic…

High Energy Physics - Theory · Physics 2021-07-28 Sachin Jain , Renjan Rajan John , Vinay Malvimat

We argue that higher spin fields originate from Hamiltonian mechanics and play a role of gauge fields ensuring covariance of geometric observables such as length and volume with respect to canonical transformations in the same way as a…

High Energy Physics - Theory · Physics 2013-04-26 Dmitry Ponomarev

Following arXiv:1308.2337, we carry out one loop tests of higher spin AdS$_{d+1}$/CFT$_d$ correspondences for $d\geq 2$. The Vasiliev theories in AdS$_{d+1}$, which contain each integer spin once, are related to the $U(N)$ singlet sector of…

High Energy Physics - Theory · Physics 2014-04-23 Simone Giombi , Igor R. Klebanov , Benjamin R. Safdi

This work has its origins in an attempt to describe systematically the integrable geometries and gauge theories in dimensions one to four related to twistor theory. In each such dimension, there is a nondegenerate integrable geometric…

Differential Geometry · Mathematics 2014-03-31 David M. J. Calderbank

We provide an off-shell formulation of four-dimensional higher spin gravity based on a covariant Hamiltonian action on an open nine-dimensional Poisson manifold whose boundary consists of the direct product of spacetime and a noncommutative…

High Energy Physics - Theory · Physics 2016-03-29 Nicolas Boulanger , Ergin Sezgin , Per Sundell

We study the theory of Weyl conformal gravity with matter degrees of freedom in a conformally invariant interaction. Specifically, we consider a triplet of scalar fields and SO(3) non-abelian gauge fields, i.e. the Georgi-Glashow model…

High Energy Physics - Theory · Physics 2009-08-07 A. Edery , Luca Fabbri , M. B. Paranjape

The off-shell actions for $\cal N$-extended conformal supergravity theories in three dimensions were formulated in [1,2] for $1\leq {\cal N} \leq 6$ using a universal approach. Each action is generated by a closed super three-form which is…

High Energy Physics - Theory · Physics 2019-06-10 Evgeny I. Buchbinder , Daniel Hutchings , Jessica Hutomo , Sergei M. Kuzenko

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 symmetry algebra of massless fields living on the 3-dimensional conformal boundary of AdS(4) is shown to be isomorphic to 3d conformal higher spin algebra (AdS(4) higher spin algebra). A simple realization of this algebra on the free…

High Energy Physics - Theory · Physics 2007-05-23 O. V. Shaynkman

Recent cosmological observations and compatible theory offer an understanding of long-mysterious dark matter and dark energy. The postulate of universal conformal local Weyl scaling symmetry, without dark matter, modifies action integrals…

General Physics · Physics 2021-09-22 R. K. Nesbet

We show that there exist conformally invariant theories for all spins in d=4 de Sitter space, namely the partially massless models with higher derivative gauge invariance under a scalar gauge parameter. This extends the catalog from the two…

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

We determine the current exchange amplitudes for free totally symmetric tensor fields $\vf_{\mu_1 ... \mu_s}$ of mass $M$ in a $d$-dimensional $dS$ space, extending the results previously obtained for $s=2$ by other authors. Our…

High Energy Physics - Theory · Physics 2008-11-26 D. Francia , J. Mourad , A. Sagnotti

We investigate the problem of derivation of consistent equations of motion for the massive spin 2 field interacting with gravity within both field theory and string theory. In field theory we derive the most general classical action with…

High Energy Physics - Theory · Physics 2009-10-31 I. L. Buchbinder , V. A. Krykhtin , V. D. Pershin

We discuss the connection between Weyl$^2$ supergravity and superstrings and further discuss holography between 4-dimensional, ${\cal N}=4$ superconformal Weyl$^2$ supergravity and ${\cal N}=8$, higher spin-four theory on $AdS_5$. The…

High Energy Physics - Theory · Physics 2019-06-26 Sergio Ferrara , Alex Kehagias , Dieter Lust

It is shown that Weyl spinors in 4D Minkowski space are composed of primary fields of half-integer conformal weights. This yields representations of fermionic 2-point functions in terms of correlators of primary fields with a factorized…

High Energy Physics - Theory · Physics 2015-06-26 Rainer Dick