scholarly journals Higher-spin gauge models with (1, 1) supersymmetry in AdS3 : Reduction to (1, 0) superspace

2021 ◽  
Vol 103 (12) ◽  
Author(s):  
Daniel Hutchings ◽  
Jessica Hutomo ◽  
Sergei M. Kuzenko
Keyword(s):  
Gauge Models ◽  
Higher Spin

scholarly journals CLASSICAL DESCRIPTION OF SPINNING DEGREES OF FREEDOM OF RELATIVISTIC PARTICLES BY MEANS OF COMMUTING SPINORS

1999 ◽  
Vol 14 (10n11) ◽  
pp. 709-720 ◽  
Author(s):  
A. A. DERIGLAZOV ◽  
D. M. GITMAN
Keyword(s):  
Electromagnetic Field ◽  
Dirac Equation ◽  
Degrees Of Freedom ◽  
External Electromagnetic Field ◽  
Classical Description ◽  
Gauge Models ◽  
Higher Spin ◽  
Grassmann Variables ◽  
Higher Spins ◽  
Relativistic Particles

We consider a possibility of describing spin one-half and higher spins of massive relativistic particles by means of commuting spinors. We present two classical gauge models with the variables xμ, ξα, χα, where ξ, χ are commuting Majorana spinors. In the course of quantization both models reproduce Dirac equation. We analyze the possibility of introducing an interaction with an external electromagnetic background into the models and generalizing them to higher spin description. The first model admits a minimal interaction with the external electromagnetic field, but leads to reducible representations of the Poincaré group being generalized for higher spins. The second model turns out to be appropriate for description of the massive higher spins. However, it seems to be difficult to introduce a minimal interaction with an external electromagnetic field into this model. We compare our approach with one, which uses Grassmann variables, and establish a relation between them.

scholarly journals BRST APPROACH TO LAGRANGIAN FORMULATION OF BOSONIC TOTALLY ANTISYMMETRIC TENSOR FIELDS IN CURVED SPACE

2009 ◽  
Vol 24 (06) ◽  
pp. 401-414 ◽  
Author(s):  
I. L. BUCHBINDER ◽  
V. A. KRYKHTIN ◽  
L. L. RYSKINA
Keyword(s):  
Gauge Symmetry ◽  
Lagrangian Formulation ◽  
Field Theories ◽  
Tensor Fields ◽  
Gauge Invariant ◽  
Curved Space ◽  
Spin Field ◽  
Gauge Models ◽  
Higher Spin ◽  
Lagrangian Construction

We apply the BRST approach, previously developed for higher spin field theories, to gauge-invariant Lagrangian construction for antisymmetric massive and massless bosonic fields in arbitrary d-dimensional curved space. The obtained theories are reducible gauge models both in massless and massive cases and the order of reducibility grows with the value of the rank of the antisymmetric field. In both cases the Lagrangians contain the sets of auxiliary fields and possess more rich gauge symmetry in comparison with standard Lagrangian formulation for the antisymmetric fields. This serves as an additional demonstration of universality of the BRST approach for Lagrangian constructions in various field models.

A Rare Low Spin Co(IV) Bis-Silyldiamide with High Thermal Stability: Exploring the Origin of an Unusual S = 1/2 Configuration

2020 ◽  
Author(s):  
David Zanders ◽  
Goran Bačić ◽  
Dominique Leckie ◽  
Oluwadamilola Odegbesan ◽  
Jeremy M. Rawson ◽  
...  
Keyword(s):  
Thermal Stability ◽  
Density Functional ◽  
Atomic Layer ◽  
Epr Spectrum ◽  
Functional Theory ◽  
Cluster Calculations ◽  
Layer Deposition ◽  
Starting Point ◽  
Higher Spin ◽  
Surface Saturation

Attempted preparation of a chelated Co(II) β-silylamide re-sulted in the unprecedented disproportionation to Co(0) and a spirocyclic cobalt(IV) bis(β-silyldiamide): [Co[(NtBu)2SiMe2]2] (1). Compound 1 exhibits a room temperature magnetic moment of 1.8 B.M and a solid state axial EPR spectrum diagnostic of a rare S = 1/2 configuration. Semicanonical coupled-cluster calculations (DLPNO-CCSD(T)) revealed the doublet state was clearly preferred (–27 kcal/mol) over higher spin configurations for which density functional theory (DFT) showed no energetic preference. Unlike other Co(IV) complexes, 1 had remarkable thermal stability, and was demonstrated to form a stable self-limiting monolayer in initial atomic layer deposition (ALD) surface saturation tests. The ease of synthesis and high-stability make 1 an attractive starting point to begin investigating otherwise inaccessible Co(IV) intermediates and synthesizing new materials.

scholarly journals The 3d $$ \mathcal{N} $$ = 6 bootstrap: from higher spins to strings to membranes

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Damon J. Binder ◽  
Shai M. Chester ◽  
Max Jerdee ◽  
Silviu S. Pufu
Keyword(s):  
Block Decomposition ◽  
Point Function ◽  
Present Evidence ◽  
Bootstrap Techniques ◽  
Wide Range ◽  
Higher Spin ◽  
Tensor Multiplet ◽  
Higher Spins ◽  
M Theory ◽  
Chern Simons

Abstract We study the space of 3d $$ \mathcal{N} $$ N = 6 SCFTs by combining numerical bootstrap techniques with exact results derived using supersymmetric localization. First we derive the superconformal block decomposition of the four-point function of the stress tensor multiplet superconformal primary. We then use supersymmetric localization results for the $$ \mathcal{N} $$ N = 6 U(N)k × U(N + M)−k Chern-Simons-matter theories to determine two protected OPE coefficients for many values of N, M, k. These two exact inputs are combined with the numerical bootstrap to compute precise rigorous islands for a wide range of N, k at M = 0, so that we can non-perturbatively interpolate between SCFTs with M-theory duals at small k and string theory duals at large k. We also present evidence that the localization results for the U(1)2M × U (1 + M)−2M theory, which has a vector-like large-M limit dual to higher spin theory, saturates the bootstrap bounds for certain protected CFT data. The extremal functional allows us to then conjecturally reconstruct low-lying CFT data for this theory.

scholarly journals Extending superposed harmonic initial data to higher spin

2021 ◽  
Vol 103 (8) ◽  
Author(s):  
Sizheng Ma ◽  
Matthew Giesler ◽  
Mark A. Scheel ◽  
Vijay Varma
Keyword(s):  
Initial Data ◽  
Higher Spin

scholarly journals Higher spin dark matter

2021 ◽  
pp. 136436
Author(s):  
Stephon Alexander ◽  
Leah Jenks ◽  
Evan McDonough
Keyword(s):  
Dark Matter ◽  
Higher Spin

scholarly journals Higher spin de Sitter Hilbert space

2019 ◽  
Vol 2019 (10) ◽  
Author(s):  
Dionysios Anninos ◽  
Frederik Denef ◽  
Ruben Monten ◽  
Zimo Sun
Keyword(s):  
Hilbert Space ◽  
De Sitter ◽  
Higher Spin

scholarly journals Characteristic cohomology and observables in higher spin gravity

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Alexey Sharapov ◽  
Evgeny Skvortsov
Keyword(s):  
Higher Spin Gravity ◽  
Complete Classification ◽  
Gravity Models ◽  
Simons Theory ◽  
Surface Charges ◽  
Higher Spin ◽  
Dynamical Invariants ◽  
Chern Simons ◽  
Conserved Currents

Abstract We give a complete classification of dynamical invariants in 3d and 4d Higher Spin Gravity models, with some comments on arbitrary d. These include holographic correlation functions, interaction vertices, on-shell actions, conserved currents, surface charges, and some others. Surprisingly, there are a good many conserved p-form currents with various p. The last fact, being in tension with ‘no nontrivial conserved currents in quantum gravity’ and similar statements, gives an indication of hidden integrability of the models. Our results rely on a systematic computation of Hochschild, cyclic, and Chevalley-Eilenberg cohomology for the corresponding higher spin algebras. A new invariant in Chern-Simons theory with the Weyl algebra as gauge algebra is also presented.

Sign in / Sign up

Export Citation Format

Share Document