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In this note, we construct a BRST invariant cubic vertex for massless fields of arbitrary mixed symmetry in flat space-time. The construction is based on the vertex given in bosonic Open String Field Theory. The algebra of gauge…

High Energy Physics - Theory · Physics 2008-11-26 A. Fotopoulos , M. Tsulaia

This paper contains an account of arbitrary cubic function fields of characteristic three. We define a standard form for an arbitrary cubic curve and consider its function field. By considering an integral basis for the maximal order of…

Number Theory · Mathematics 2010-09-06 Mark Bauer , Jonathan Webster

A simple realization of the conformal higher spin symmetry on the free $3d$ massless matter fields is given in terms of an auxiliary Fock module both in the flat and $AdS_3$ case. The duality between non-unitary field-theoretical…

High Energy Physics - Theory · Physics 2007-05-23 O. V. Shaynkman , M. A. Vasiliev

Assuming locality, Lorentz invariance and parity conservation we obtain a set of differential equations governing the 3-point interactions of massless bosons, which in turn determines the polynomial ring of these amplitudes. We derive all…

High Energy Physics - Theory · Physics 2019-01-23 Zhengdi Sun , Hui Xu , Yeuk-Kwan E. Cheung

We consider the motion of a spinning relativistic particle with an arbitrary value of spin in external electromagnetic and gravitational fields, to first order in the external field. We use the noncovariant description of spin. An explicit…

General Relativity and Quantum Cosmology · Physics 2009-10-31 A. A. Pomeransky , R. A. Sen'kov

We determine the shapes of pure cubic fields and show that they fall into two families based on whether the field is wildly or tamely ramified (of Type I or Type II in the sense of Dedekind). We show that the shapes of Type I fields are…

Number Theory · Mathematics 2016-05-26 Robert Harron

The structural inversion asymmetry-induced spin-orbit interaction of conduction band electrons in zinc-blende and wurtzite semiconductor structures is analysed allowing for a three-dimensional (3D) character of the external electric field…

Materials Science · Physics 2010-12-30 Eduard Takhtamirov , Roderick V. N. Melnik

We construct an off-shell extension of cubic interaction vertices between massless bosonic Higher Spin fields on a flat background which can be obtained from perturbative bosonic string theory. We demonstrate how to construct higher quartic…

High Energy Physics - Theory · Physics 2010-11-23 A. Fotopoulos , M. Tsulaia

Theory of massless scalar field $\phi$ with interaction $g \phi^3$ in six-dimensional space is considered. A possibility of initial scale invariance breaking, which results in a spontaneous arising of effective interaction $G \phi^4$, is…

High Energy Physics - Theory · Physics 2007-05-23 Boris A. Arbuzov

In the context of higher-spin holography, we compare the classification of cubic interaction vertices for higher-spin gravity theories in three dimensions to the possible three-point correlation functions of conserved higher-spin currents…

High Energy Physics - Theory · Physics 2019-09-25 Stefan Fredenhagen , Olaf Krüger , Karapet Mkrtchyan

We study the propagation of gauge fields with arbitrary integer spins in the symmetrical Einstein space of any dimensionality. We reduce the problem of obtaining a gauge-invariant Lagrangian of integer spin fields in such background to an…

High Energy Physics - Theory · Physics 2009-10-31 S. M. Klishevich

Using the gauge field model with massive gauge bosons, we could construct a new model to describe the strong interaction. In this new quantum chromodynamics(QCD) model, we will introduce two sets of gluon fields, one set is massive and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ning Wu

This thesis includes several original results. All of them are already published or submitted for publication. I present here the short summary of main results: The ultraviolet singular structure of the bulk-to-bulk propagators for higher…

High Energy Physics - Theory · Physics 2010-11-02 Karapet Mkrtchyan

The generalized connections of the (anti)-de Sitter space symmetry algebra, which are differential forms of arbitrary degree with values in any irreducible (spin)-tensor representation of the (anti)-de Sitter algebra, are studied. It is…

High Energy Physics - Theory · Physics 2009-09-28 E. D. Skvortsov

Conformal totally symmetric arbitrary spin fermionic fields propagating in the flat space-time of even dimension greater than or equal to four are investigated. First-derivative metric-like formulation involving Fang-Fronsdal kinetic…

High Energy Physics - Theory · Physics 2021-05-18 R. R. Metsaev

Pure gauge lattice QCD at arbitrary D is considered. Exact integration over link variables in an arbitrary D-volume leads naturally to an appearance of a set of surfaces filling the volume and gives an exact expression for functional of…

High Energy Physics - Theory · Physics 2009-10-28 B. Rusakov

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 elaborate on the partially massless spin 5/2 supermultiplet, which contains partially massless spin 5/2, massless and partially massless spin 2, as well as massless spin 3/2. We consider the global supertransformations connecting…

High Energy Physics - Theory · Physics 2025-06-09 Yu. M. Zinoviev

A new version of the self-similarity spin transform on three-dimensional cubic lattices is proposed that makes possible calculation of nontrivial spin correlations in a "combinatorial" model, in which all permitted spin configurations have…

Quantum Algebra · Mathematics 2025-04-03 Igor G. Korepanov

We present a simple group representation analysis of massive, and particularly ``partially massless'', fields of arbitrary spin in de Sitter spaces of any dimension. The method uses bulk to boundary propagators to relate these fields to…

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