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We find the combinations of momentum and domain-wall charges corresponding to BPS states preserving 1/4, 1/2 or 3/4 of D=4 N=1 supersymmetry, and we show how the supersymmetry algebra implies their stability. These states form the boundary…

High Energy Physics - Theory · Physics 2019-08-17 Jerome P. Gauntlett , Gary W. Gibbons , Christopher M. Hull , Paul K. Townsend

We explicitly rewrite the path integral for the free or critical $O(N)$ (or $U(N)$) bosonic vector models in $d$ space-time dimensions as a path integral over fields (including massless high-spin fields) living on ($d+1$)-dimensional…

High Energy Physics - Theory · Physics 2022-03-23 Ofer Aharony , Shai M. Chester , Erez Y. Urbach

We apply the BRST approach, developed for higher spin field theories, to Lagrangian construction for totally antisymmetric massive fermionic fields in AdS_d space. As well as generic higher spin massive theories, the obtained Lagrangian…

High Energy Physics - Theory · Physics 2009-06-19 I. L. Buchbinder , V. A. Krykhtin , L. L. Ryskina

As is known, any realization of SU(2) in the phase space of a dynamical system can be generalized to accommodate the exceptional supergroup $D(2,1;\alpha)$, which is the most general $\mathcal{N}{=}\,4$ supersymmetric extension of the…

High Energy Physics - Theory · Physics 2019-03-27 Anton Galajinsky , Olaf Lechtenfeld

Spin foams of 4d gravity were recently extended from complexes with purely spacelike surfaces to complexes that also contain timelike surfaces. In this article, we express the associated partition function in terms of vertex amplitudes and…

General Relativity and Quantum Cosmology · Physics 2011-01-19 Florian Conrady

In this paper we perform, in the spirit of the holographic correspondence, a particular asymptotic limit of N=2, AdS_4 supergravity to N=2 supergravity on a locally AdS_3 boundary. Our boundary theory enjoys OSp(2|2) x SO(1,2) invariance…

High Energy Physics - Theory · Physics 2020-05-20 L. Andrianopoli , B. L. Cerchiai , R. D'Auria , M. Trigiante

We develop a bottom-up formulation of spin-kinetic theory for hot and/or dense plasmas. We introduce scalar and axial-vector phase-space functions as dynamical variables that parametrize both spin-averaged and spin-dependent distribution…

Nuclear Theory · Physics 2026-01-21 Zonglin Mo , Yi Yin

We consider a one-dimensional system of four inelastic hard spheres, colliding with a fixed restitution coefficient $r$, and we study the inelastic collapse phenomenon for such a particle system. We study a periodic, asymmetric collision…

Dynamical Systems · Mathematics 2025-10-09 Théophile Dolmaire , Eleni Hübner-Rosenau

We derive a $2+1$ dimensional model with unconventional supersymmetry at the boundary of an ${\rm AdS}_4$ $\mathcal{N}$-extended supergravity, generalizing previous results. The (unconventional) extended supersymmetry of the boundary model…

High Energy Physics - Theory · Physics 2020-01-22 L. Andrianopoli , B. L. Cerchiai , R. D'Auria , A. Gallerati , R. Noris , M. Trigiante , J. Zanelli

We compute directly in covariant formalism various four point massive scalar amplitudes in bosonic string with scalars up to level 11. The most ``difficult'' amplitude we consider is four identical scalars at level 4, i.e. the first non…

High Energy Physics - Theory · Physics 2025-12-02 Igor Pesando

By computing the operator product expansions between the first two ${\cal N}=4$ higher spin multiplets in the unitary coset model, the (anti)commutators of higher spin currents are obtained under the large $(N,k)$ 't Hooft-like limit. The…

High Energy Physics - Theory · Physics 2020-06-24 Changhyun Ahn , Dong-gyu Kim , Man Hea Kim

Here I present a new discrete model of quantum mechanics for relativistic 1-electron systems, in which particle movement is described by a directed space-time graph with attached 4-spinors, but without any continuous wave functions. These…

Quantum Physics · Physics 2007-05-23 Wolfgang Koehler

Further properties of a recently proposed higher order infinite spin particle model are derived. Infinitely many classically equivalent but different Hamiltonian formulations are shown to exist. This leads to a condition of uniqueness in…

High Energy Physics - Theory · Physics 2009-11-11 Ludde Edgren , Robert Marnelius

We describe several families of primary linear supermultiplets coupled to three-dimensional ${\cal N}=2$ conformal supergravity and use them to construct topological $BF$-type terms. We introduce conformal higher-spin gauge superfields and…

High Energy Physics - Theory · Physics 2018-12-19 Jessica Hutomo , Sergei M. Kuzenko , Daniel Ogburn

Causality constrains the gravitational interactions of massive higher spin particles in both AdS and flat spacetime. We explore the extent to which these constraints apply to composite particles, explaining why they do not rule out…

High Energy Physics - Theory · Physics 2020-01-29 Jared Kaplan , Sandipan Kundu

The development of the N = 4 supersymmetric approach to quantum cosmology based on the non-compact global O(d,d) symmetries of the effective action is given. The N = 4 supersymmetric action whose bosonic sector is invariant under O(d,d) is…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. Assaoui , T. Lhallabi

Massive spinning particle in $6d$-Minkowski space is described as a mechanical system with the configuration space $R^{5,1} \times CP^3$. The action functional of the model is unambiguously determined by the requirement of identical…

High Energy Physics - Theory · Physics 2016-09-06 S. L. Lyakhovich , A. A. Sharapov , K. M. Shekhter

Quantum fluctuations of the N\'eel state of the square lattice antiferromagnet are usually described by a $\mathbb{CP}^1$ theory of bosonic spinons coupled to a U(1) gauge field, and with a global SU(2) spin rotation symmetry. Such a theory…

Strongly Correlated Electrons · Physics 2018-01-31 Alex Thomson , Subir Sachdev

A contribution to the collection of reviews "Introduction to Higher Spin Theory" edited by S. Fredenhagen, this introductory article is a pedagogical account of higher-spin fields and their connections with String Theory. We start with the…

High Energy Physics - Theory · Physics 2016-04-19 Rakibur Rahman , Massimo Taronna

A new class of higher-spin gauge theories associated with various Coxeter groups is proposed. The emphasize is on the $B_p$--models. The cases of $B_1$ and its infinite graded-symmetric product $sym\,(\times B_1)^\infty$ correspond to the…

High Energy Physics - Theory · Physics 2018-08-29 M. A. Vasiliev
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