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Massless higher-spin fields show no preference for any value of the cosmological constant in $3d$. All matter-free higher-spin gravities in 3d are equivalent to Chern-Simons theories with an appropriate choice of gauge algebra. For various…

High Energy Physics - Theory · Physics 2024-09-20 Alexey Sharapov , Evgeny Skvortsov , Arseny Sukhanov

We consider four-dimensional Higher-Spin Theory at the first nontrivial order corresponding to the cubic action. All Higher-Spin interaction vertices are explicitly obtained from Vasiliev's equations. In particular, we obtain the vertices…

High Energy Physics - Theory · Physics 2016-02-17 Nicolas Boulanger , Pan Kessel , E. D. Skvortsov , Massimo Taronna

N-point correlation functions of conserved currents and weight-two scalar operators of the three-dimensional free fermion vector model are found as invariants of the higher-spin symmetry in four-dimensional AdS. These are the correlators of…

High Energy Physics - Theory · Physics 2019-08-20 V. E. Didenko , Jianwei Mei , E. D. Skvortsov

Vasiliev's higher spin supergravity theory on three dimensional anti-de Sitter space is studied and, in particular, the partition function is computed at one loop level. The dual conformal field theory is proposed to be the N=(2,2) CP^N…

High Energy Physics - Theory · Physics 2015-06-03 Thomas Creutzig , Yasuaki Hikida , Peter B. Ronne

We consider the Sp(2n) invariant formulation of higher spin fields on flat and curved backgrounds of constant curvature.In this formulation an infinite number of higher spin fields are packed into single scalar and spinor master fields…

High Energy Physics - Theory · Physics 2014-09-10 Ioannis Florakis , Dmitri Sorokin , Mirian Tsulaia

These lecture notes provide an introduction to higher-spin gauge theories in three spacetime dimensions, with a focus on their asymptotic symmetries, their holographic description in terms of conformal field theories with W-symmetries as…

High Energy Physics - Theory · Physics 2024-09-24 Andrea Campoleoni , Stefan Fredenhagen

We explain how all information about ambient component field spin assignments in higher-dimensional off-shell supersymmetry is accessibly coded in one-dimensional restrictions, known as shadows. We also explain how to determine whether the…

High Energy Physics - Theory · Physics 2009-11-13 Michael G. Faux , Gregory D. Landweber

In this paper we use the spinor-helicity formalism to calculate 3-point functions involving scalar operators and spin-$s$ conserved currents in general 3d CFTs. In spinor-helicity variables we notice that the parity-even and the parity-odd…

High Energy Physics - Theory · Physics 2021-09-23 Sachin Jain , Renjan Rajan John , Abhishek Mehta , Amin A. Nizami , Adithya Suresh

We calculate the one-loop partition function for a massless arbitrary-spin field on quotients of a general dimensional AdS background using the results of arXiv:1103.3627. We use these results to compute the one-loop partition function for…

High Energy Physics - Theory · Physics 2015-06-05 Rajesh Kumar Gupta , Shailesh Lal

New holographic prescription for the model of 3d higher-spin gravity coupled to real matter fields $B_{\mu\nu}$ and $C$, which was introduced in ArXiv:1304.7941[hep-th], is formulated. By using a local symmetry, two of the components of…

High Energy Physics - Theory · Physics 2014-03-05 Ippei Fujisawa , Kenta Nakagawa , Ryuichi Nakayama

We conjecture that Vasiliev's theory of higher spin gravity in four-dimensional de Sitter space (dS) is holographically dual to a three-dimensional conformal field theory (CFT) living on the spacelike boundary of dS at future timelike…

High Energy Physics - Theory · Physics 2011-08-31 Dionysios Anninos , Thomas Hartman , Andrew Strominger

We demonstrate how three-point correlation functions of the free scalar U(N) model involving two scalar operators and one spin-$s$ conserved current organize themselves into corresponding AdS amplitudes involving two scalar and one spin-$s$…

High Energy Physics - Theory · Physics 2020-09-23 Shailesh Lal

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

Higher spin theories can be efficiently described in terms of auxiliary St\"uckelberg or projective space field multiplets. By considering how higher spin models couple to scale, these approaches can be unified in a conformal…

High Energy Physics - Theory · Physics 2013-08-01 Euihun Joung , Massimo Taronna , Andrew Waldron

Cubic vertices for symmetric higher-spin gauge fields of integer spins in $(A)dS_d$ are analyzed. $(A)dS_d$ generalization of the previously known action in $AdS_4$, that describes cubic interactions of symmetric massless fields of all…

High Energy Physics - Theory · Physics 2015-05-30 Mikhail A. Vasiliev

We revisit the problem of classification and explicit construction of the conformal three-point correlation functions of currents of arbitrary integer spin in arbitrary dimensions. For the conserved currents, we set up the equations for the…

High Energy Physics - Theory · Physics 2024-05-06 Melik Karapetyan , Ruben Manvelyan , Karapet Mkrtchyan

Within holography, we calculate the contribution of an arbitrary spin-s gauge boson exchange in $AdS_{d+1}$ to the four-point function with scalar operators on the boundary. As an important ingredient, we first compute the complete…

High Energy Physics - Theory · Physics 2014-12-25 Xavier Bekaert , Johanna Erdmenger , Dmitry Ponomarev , Charlotte Sleight

A special embedding of the SU(4) algebra in SU(10), including both spin two and spin three symmetry generators, is constructed. A possible five dimensional action for massless spin two and three fields with cubic interaction is constructed.…

High Energy Physics - Theory · Physics 2015-06-15 R. Manvelyan , K. Mkrtchyan , R. Mkrtchyan , S. Theisen

I take steps toward the construction of a CFT dual to Vasiliev's higher spin gravity in three dimensional de Sitter space. There are two main claims. The first is that higher spin de Sitter symmetries are related to extended Virasoro…

High Energy Physics - Theory · Physics 2011-11-02 Peter Ouyang

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