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Supersymmetry can be consistently generalized in one and two dimensional spaces, fractional supersymmetry being one of the possible extension. 2D fractional supersymmetry of arbitrary order $F$ is explicitly constructed using an adapted…

高能物理 - 理论 · 物理学 2008-02-03 M. Rausch de Traubenberg , P. Simon

Correlators of gauge invariant operators provide useful information on the dynamics, phases and spectra of a quantum field theory. In this paper, we consider N=1 supersymmetric theories and focus our attention on the supercurrent multiplet.…

高能物理 - 理论 · 物理学 2015-01-19 Riccardo Argurio , Matteo Bertolini , Lorenzo Di Pietro , Flavio Porri , Diego Redigolo

We analyse higher-spin theory with general coupling constant $\eta$ at the second order, focusing on the gauge non-invariant vertices $\Upsilon(\omega,\omega)$, $\Upsilon(\Omega,\omega,C)$ and $\Upsilon(\omega,C)$, that are shown to…

高能物理 - 理论 · 物理学 2024-12-25 Yu. A. Tatarenko , M. A. Vasiliev

We compute higher-point superstring correlators involving spin fields in various even space-time dimensions D at tree-level and to arbitrary loop order. This generalizes previous work in D=4 space-time dimensions. The main focus are D=6,8…

高能物理 - 理论 · 物理学 2011-06-15 D. Haertl , O. Schlotterer

We study local, higher-spin conserved currents in integrable $2d$ sigma models that have been deformed via coupling to auxiliary fields. These currents generate integrability-preserving flows introduced by Smirnov and Zamolodchikov. For…

高能物理 - 理论 · 物理学 2025-04-25 Daniele Bielli , Christian Ferko , Michele Galli , Gabriele Tartaglino-Mazzucchelli

We investigate the operator content of the Q-state Potts model in arbitrary dimension, using the representation theory of the symmetric group. In particular we construct all possible tensors acting on N spins, corresponding to given…

统计力学 · 物理学 2017-11-22 Romain Couvreur , Jesper Lykke Jacobsen , Romain Vasseur

We discuss recent endeavours in connecting twistor theory to higher-spin theories and the IKKT- matrix model. Starting with a brief review on higher-spin algebra hs in four-dimensional target space, we elucidate how higher-spin symmetry can…

高能物理 - 理论 · 物理学 2022-12-07 Tung Tran

The spin 0 generalized phase space approach provides a general expression for local current which depends on the choice of distribution function and generally deviates from the Schrodinger current. It is shown that the continuity equation…

量子物理 · 物理学 2013-12-17 Peter Holland

In recent papers arXiv:2109.07639 [hep-th] and arXiv:2202.08196 [hep-th], we constructed free off-shell $\mathcal{N}=2$ supersymmetric higher spin gauge theories in harmonic superspace and their cubic couplings to hypermultiplet. The…

高能物理 - 理论 · 物理学 2023-07-12 Ioseph Buchbinder , Evgeny Ivanov , Nikita Zaigraev

We evaluate one-loop partition functions of higher-spin fields in thermal flat space with angular potentials; this computation is performed in arbitrary space-time dimension, and the result is a simple combination of Poincar\'e characters.…

高能物理 - 理论 · 物理学 2016-05-04 Andrea Campoleoni , Hernan A. Gonzalez , Blagoje Oblak , Max Riegler

We focus on the geometrical reformulation of free higher spin supermultiplets in $4\rm{D},~\mathcal{N}=1$ flat superspace. We find that there is a de Wit-Freedman like hierarchy of superconnections with simple gauge transformations. The…

高能物理 - 理论 · 物理学 2021-01-04 I. L. Buchbinder , S. James Gates , K. Koutrolikos

Higher-form symmetries are associated with transformations that only act on extended objects, not on point particles. Typically, higher-form symmetries live alongside ordinary, point-particle (0-form), symmetries and they can be jointly…

高能物理 - 理论 · 物理学 2021-04-08 Tomas Brauner

We continue the program of constructing cubic interactions between matter and higher spin supermultiplets. In this work we consider a complex linear superfield and we find that it can have cubic interactions only with supermultiplets with…

高能物理 - 理论 · 物理学 2018-04-18 Konstantinos Koutrolikos , Pavel Kočí , Rikard von Unge

We propose field equations for the conformal higher spin system in three dimensions coupled to a conformal scalar field with a sixth order potential. Both the higher spin equation and the unfolded equation for the scalar field have source…

高能物理 - 理论 · 物理学 2016-09-21 Bengt E. W. Nilsson

We derive the propagators for higher-spin master fields in anti-de Sitter space of arbitrary dimension. A method is developed to construct the propagators directly without solving any differential equations. The use of the ambient space,…

高能物理 - 理论 · 物理学 2015-06-05 V. E. Didenko , E. D. Skvortsov

We construct a novel higher-spin theory of gravity in 2+1 spacetime dimensions. The construction is based on a higher-spin super-algebra extending the Poincare group. Our algebra accommodates all integer and half-integer spins from 1 to…

高能物理 - 理论 · 物理学 2015-11-03 George Georgiou

We propose a hybrid class of theories for higher spin gravity and matrix models, i.e. which handle simultaneously higher spin gravity fields and matrix models. The construction is similar to Vasiliev's higher spin gravity but part of the…

高能物理 - 理论 · 物理学 2017-10-24 Mauricio Valenzuela

In this Thesis we address the issue of consistent higher-spin interactions taking String Theory as a "theoretical laboratory". We thus arrive at a simple expression encompassing all three-point amplitudes for states belonging to the first…

高能物理 - 理论 · 物理学 2010-10-11 Massimo Taronna

Multiparticle extension of a higher-spin algebra $l$ is introduced as the Lie superalgebra associated with the universal enveloping algebra $U(l)$. While conventional higher-spin symmetry does not mix $n$-particle states with different $n$,…

高能物理 - 理论 · 物理学 2015-06-12 M. A. Vasiliev

We study the mixed system of correlation functions involving a scalar field charged under a global $U(1)$ symmetry and the associated conserved spin-1 current $J_\mu$. Using numerical bootstrap techniques we obtain bounds on new observables…

高能物理 - 理论 · 物理学 2021-02-03 Marten Reehorst , Emilio Trevisani , Alessandro Vichi