Aspects of metric-like higher-spin geometry

2012 ◽  
Author(s):  
D. Francia
Keyword(s):  
Spin Geometry ◽  
Higher Spin

IMPROVED FORMS OF SOME VANISHING THEOREMS IN RIEMANNIAN SPIN GEOMETRY

2000 ◽  
Vol 11 (03) ◽  
pp. 291-304 ◽  
Author(s):  
THOMAS BRANSON ◽  
OUSSAMA HIJAZI
Keyword(s):  
Differential Operators ◽  
Infinite Sequence ◽  
Spin Manifold ◽  
Vanishing Theorems ◽  
Spin Geometry ◽  
First Order ◽  
Conformal Curvature ◽  
Conformal Curvature Tensor ◽  
Higher Spin ◽  
Weyl Conformal Curvature Tensor

We improve the hypotheses on some vanishing theorems for first order differential operators on bundles over a Riemannian spin manifold. The improved hypotheses are uniform, in the sense that they are the same for each of an infinite sequence of bundles in each even dimension. They are also elementary, in the sense that they involve only the bottom eigenvalue of the Yamabe operator on scalars, and the pointwise action of the Weyl conformal curvature tensor on two-forms. In particular, they do not make reference to the higher spin bundles on which the conclusion holds.

scholarly journals Minimal local Lagrangians for higher-spin geometry

2005 ◽  
Vol 624 (1-2) ◽  
pp. 93-104 ◽  
Author(s):  
Dario Francia ◽  
Augusto Sagnotti
Keyword(s):  
Spin Geometry ◽  
Higher Spin

scholarly journals Higher-Spin Geometry and String Theory

2006 ◽  
Vol 33 ◽  
pp. 57-72 ◽  
Author(s):  
Dario Francia ◽  
Augusto Sagnotti
Keyword(s):  
String Theory ◽  
Spin Geometry ◽  
Higher Spin

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
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