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The two-by-two representation of the SL(2,c) group is for spin-1/2 particles. Starting from this two-by-two representation, it is possible to construct the four-by-four matrices for spin-1 particles. For massless particles, it is possible…

High Energy Physics - Theory · Physics 2007-05-23 Y. S. Kim

We construct the covariant, spinor sets of relativistic wave equations for a massless field on the basis of the two copies of the R-deformed Heisenberg algebra. For the finite-dimensional representations of the algebra they give a universal…

High Energy Physics - Theory · Physics 2011-07-19 Sergey M. Klishevich , Mikhail S. Plyushchay , Michel Rausch de Traubenberg

We study the large gauge transformations of massless higher-spin fields in four-dimensional Minkowski space. Upon imposing suitable fall-off conditions, providing higher-spin counterparts of the Bondi gauge, we observe the existence of an…

High Energy Physics - Theory · Physics 2017-08-23 Andrea Campoleoni , Dario Francia , Carlo Heissenberg

The present thesis is divided into three parts. In Part I we address a problem within Higher-Spin Gauge Theory in dimension three: namely, that of computing the asymptotic symmetry algebra of supersymmetric models, describing an infinite…

High Energy Physics - Theory · Physics 2014-06-23 Gustavo Lucena Gómez

This paper establishes and tests procedures which can determine the electron energy gap of the high-temperature superconductors using the $t\!-\!J$ model with spinon and holon quasiparticles obeying fractional statistics. A simpler problem…

Condensed Matter · Physics 2009-10-22 J. L. Levy , R. B. Laughlin

We systematically obtain all linear models which propagate a totally symmetric rank-three field without parity violation on a flat background. Each such model is defined exclusively by its gauge symmetry, a necessary property of effective…

High Energy Physics - Theory · Physics 2025-06-30 Will Barker , Carlo Marzo , Alessandro Santoni

Nodal-line semimetals, one of the topological semimetals, have degeneracy along nodal lines where the band gap is closed. In many cases, the nodal lines appear accidentally, and in such cases it is impossible to determine whether the nodal…

Materials Science · Physics 2017-10-16 Ryo Takahashi , Motoaki Hirayama , Shuichi Murakami

We study the problem of interacting theories with (partially)-massless and conformal higher spin fields without matter in three dimensions. A new class of theories that have partially-massless fields is found, which significantly extends…

High Energy Physics - Theory · Physics 2020-09-23 Maxim Grigoriev , Karapet Mkrtchyan , Evgeny Skvortsov

We show that the gauge-invariant coupling suggested by Pascalutsa removes non-pole terms from a spin-$\fth$ propagator only for a specific choice of free parameter. For the general case the problem can be solved by including higher order…

Nuclear Theory · Physics 2010-04-28 V. Shklyar , H. Lenske

Recently, a bundle theoretic description of massive single-particle state spaces, which is better suited for Relativistic Quantum Information Theory than the ordinary Hilbert space description, has been suggested. However, the mathematical…

Mathematical Physics · Physics 2023-09-19 Heon Lee

In the last few years we have seen an increase interest on gravitational waves due to recent and striking experimental results confirming Einstein's general relativity once more. From the field theory point of view, gravity describes the…

High Energy Physics - Theory · Physics 2019-02-06 H. G. M. Fortes , D. Dalmazi

We investigate localization of noninteracting particles with spins higher than 1/2 in a two-dimensional random potential in presence of spin-orbit coupling. We consider an integer spin ($s=1$) and a half-integer spin ($s=3/2$) belonging to…

Disordered Systems and Neural Networks · Physics 2010-01-11 Reza Sepehrinia

Using results on topological band theory of phases of matter and discrete symmetries, we study topological properties of band structure of physical systems involving spin $\frac{1}{2}$ and $\frac{3}{2}$ fermions. We apply this approach to…

High Energy Physics - Theory · Physics 2019-12-06 E. H Saidi

We propose that maximal depth, partially massless, higher spin excitations can mediate charged matter interactions in a de Sitter universe. The proposal is motivated by similarities between these theories and their traditional Maxwell…

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

An S=1/2 anti-ferromagnetic spin chain is mapped to the two-flavor massless Schwinger model, which admits a gapless mode. In a spin ladder system rung interactions break the chiral invariance. These systems are solved by bosonization. If…

Statistical Mechanics · Physics 2008-02-03 Yutaka Hosotani

The manifestly gauge invariant formulation for free symmetric partially massless fields in $(A)dS_d$ is given in terms of gauge connections and linearized curvatures that take values in the irreducible representations of $(o(d-1,2)) o(d,1)$…

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

Till now most of the results on interaction vertices for massless higher spin fields were obtained in a metric-like formalism using completely symmetric (spin-)tensors. In this, the Lagrangians turn out to be very complicated and the main…

High Energy Physics - Theory · Physics 2014-11-21 Yu. M. Zinoviev

The fermion representation for S = 1/2 spins is generalized to spins with arbitrary magnitudes. The symmetry properties of the representation is analyzed where we find that the particle-hole symmetry in the spinon Hilbert space of S =1/2…

Strongly Correlated Electrons · Physics 2011-02-28 Zheng-Xin Liu , Yi Zhou , Tai-Kai Ng

We extend the notion of the Higuchi bound and partial masslessness to ghost-free nonlinear bimetric theories. This can be achieved in a simple way by first considering linear massive spin-2 perturbations around maximally symmetric…

High Energy Physics - Theory · Physics 2015-07-24 S. F. Hassan , Angnis Schmidt-May , Mikael von Strauss

Here we show that in arbitrary dimensions $D\ge 3$ there are two families of second order Lagrangians describing massive "spin-2" particles via a nonsymmetric rank-2 tensor. They differ from the usual Fierz-Pauli theory in general. At zero…

High Energy Physics - Theory · Physics 2015-06-22 D. Dalmazi , A. L. R. dos Santos , E. L. Mendonça
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