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We study actions for massive bosonic particles of higher spins by dimensionally reducing an action for massless particles. For the latter we take a model with a SO(N) extended local supersymmetry on the worldline, that is known to describe…

High Energy Physics - Theory · Physics 2015-06-22 Fiorenzo Bastianelli , Roberto Bonezzi , Olindo Corradini , Emanuele Latini

We construct a two-dimensional (2D) lattice model that is argued to realize a gapped chiral spin liquid with (Ising) non-Abelian topological order. The building blocks are spin-1/2 two-leg ladders with $SU(2)$-symmetric spin-spin…

Strongly Correlated Electrons · Physics 2017-12-19 Po-Hao Huang , Jyong-Hao Chen , Adrain E. Feiguin , Claudio Chamon , Christopher Mudry

The relativistic spinning particle model, proposed in [3,4], is analyzed in a Hamiltonian framework. The spin is simulated by extending the configuration space by introducing a light-like four vector degree of freedom. The model is heavily…

High Energy Physics - Theory · Physics 2009-11-06 Sudipta Das , Subir Ghosh

We study the aspects of constructing the interactions for the higher spin fields in the framework of BRST approach. The main object of such an approach is BRST operator acting in the appropriate Fock space and building on the base of…

High Energy Physics - Theory · Physics 2023-11-14 I. L. Buchbinder , A. A. Reshetnyak

We construct spectra of supersymmetric higher spin theories in D=4, 5 and 7 from twistors describing massless (super-)particles on AdS spaces. A massless twistor transform is derived in a geometric way from classical kinematics. Relaxing…

High Energy Physics - Theory · Physics 2009-11-10 Martin Cederwall

We study the properties of nonlinear superalgebras $\mathcal{A}$ and algebras $\mathcal{A}_b$ arising from a one-to-one correspondence between the sets of relations that extract AdS-group irreducible representations $D(E_0,s_1,s_2)$ in…

High Energy Physics - Theory · Physics 2025-03-20 A. A. Reshetnyak

The explicit form of linearized gauge invariant interactions of scalar and general higher even spin fields in the $AdS_{D}$ space is obtained. In the case of general spin $\ell$ a generalized 'Weyl' transformation is proposed and the…

High Energy Physics - Theory · Physics 2014-11-18 Ruben Manvelyan , Karapet Mkrtchyan

Using the BRST approach to higher spin field theories we develop a generic technique for constructing the cubic interaction vertices for N=1 supersymmetric massless higher spin fields on four, six and ten dimensional flat backgrounds. Such…

High Energy Physics - Theory · Physics 2021-05-12 I. L. Buchbinder , V. A. Krykhtin , Mirian Tsulaia , Dorin Weissman

We present a Lagrangian formulation for the free superspin-3/2 massive 4D, N=1 superfield. The model is described by a dynamical real vector superfield and an auxiliary real scalar superfield. The corresponding multiplet contains spin-1,…

High Energy Physics - Theory · Physics 2012-08-27 I. L. Buchbinder , S. James Gates, , J. Phillips , W. D. Linch

We discuss fermionic higher spin gauge symmetry breaking in AdS space from a holographic perspective. Analogously to the recently discussed bosonic case, the higher spin Goldstino mode responsible for the symmetry breaking has a…

High Energy Physics - Theory · Physics 2010-02-03 Paul J. Heslop , Fabio Riccioni

We study tools of the conformal bootstrap in simplifying limits, primarily a limit of large operator dimensions and small cross-ratios corresponding to non-relativistic physics in AdS. We show that T-channel conformal blocks give the…

High Energy Physics - Theory · Physics 2022-10-24 Henry Maxfield , Zahra Zahraee

By introducing arbitrary parameters in the usual Fronsdal model, we find a region in the parameters space away from the ``Fronsdal point'' where we still have an irreducible description of massless particles of arbitrary integer spin $s\ge…

High Energy Physics - Theory · Physics 2025-10-10 D. Dalmazi , B. dos S. Martins

We suggest a class of two-dimensional lattice spin Hamiltonians describing non-Abelian SU(2) chiral spin liquids - spin-analogues of fractional non-Abelian quantum Hall states- with gapped bulk and gapless chiral edge excitations described…

Strongly Correlated Electrons · Physics 2017-05-03 P. Lecheminant , A. M. Tsvelik

In this paper, a gauge invariant description of massive higher spin bosonic and fermionic particles in frame-like Lagrangian and unfolded formalism in (A)dS${}_4$ is built. A complete set of gauge invariant object is also constructed and…

High Energy Physics - Theory · Physics 2019-10-01 M. V. Khabarov , Yu. M Zinoviev

We analyze the Weyl invariance constraints on higher spin vertex operators in open superstring theory describing massless higher spin gauge field excitations in d-dimensional space-time. We show that these constraints lead to low-energy…

High Energy Physics - Theory · Physics 2015-06-16 Dimitri Polyakov

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

Fermionic totally symmetric arbitrary spin massless fields in AdS space of dimension greater than or equal to four are studied. Using Poincar\'e parametrization of AdS space, CFT adapted gauge invariant formulation for such fields is…

High Energy Physics - Theory · Physics 2013-12-11 R. R. Metsaev

Using new approach for the deformation procedure in the case of reducible gauge theories (Lavrov in Eur. Phys. J. C 82:429, 2022), it is shown that in the model of massless spin 3 field and a real scalar field local cubic and quartic…

High Energy Physics - Theory · Physics 2023-04-28 P. M. Lavrov

We address the issue of electromagnetic interaction for massive higher-spin fields in $3d$ Minkowski space. We show that consistent field equations can be obtained through the dimensional reduction of the higher-spin extension of self-dual…

High Energy Physics - Theory · Physics 2024-12-17 Alexey Sharapov , David Shcherbatov , Evgeny Skvortsov

We construct consistent bosonic higher-spin gauge theories in odd dimensions D>3 based on Chern-Simons forms. The gauge groups are infinite-dimensional higher-spin extensions of the Anti-de Sitter groups SO(D-1,2). We propose an invariant…

High Energy Physics - Theory · Physics 2008-11-26 Johan Engquist , Olaf Hohm