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Non-Commutative Worlds and Classical Constraints [PDF]

Entropy, 2018
This paper reviews results about discrete physics and non-commutative worlds and explores further the structure and consequences of constraints linking classical calculus and discrete calculus formulated via commutators.
Louis H. Kauffman
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Supersymmetric minisuperspace models in self-dual loop quantum cosmology

Journal of High Energy Physics, 2021
In this paper, we study a class of symmetry reduced models of N $$ \mathcal{N} $$ = 1 super- gravity using self-dual variables. It is based on a particular Ansatz for the gravitino field as proposed by D’Eath et al. We show that the essential part of the
K. Eder, H. Sahlmann
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Gauge-Invariant Lagrangian Formulations for Mixed-Symmetry Higher-Spin Bosonic Fields in AdS Spaces

Universe, 2023
We deduce a non-linear commutator higher-spin (HS) symmetry algebra which encodes unitary irreducible representations of the AdS group—subject to a Young tableaux Y(s1,…,sk) with k≥2 rows—in a d-dimensional anti-de Sitter space. Auxiliary representations
Alexander Alexandrovich Reshetnyak, Pavel Yurievich Moshin   +1 more
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Manifestly causal in-in perturbation theory about the interacting vacuum

Journal of High Energy Physics, 2021
In-In perturbation theory is a vital tool for cosmology and nonequilibrium physics. Here, we reconcile an apparent conflict between two of its important aspects with particular relevance to De Sitter/inflationary contexts: (i) the need to slightly deform
Matthew Baumgart, Raman Sundrum
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Turán and Ramsey problems for alternating multilinear maps

Discrete Analysis, 2023
Turán and Ramsey problems for alternating multilinear maps, Discrete Analysis 2023:12, 22 pp. Ramsey's theorem (in its finite version) states that for every positive integer $k$ there exists a positive integer $n$ such that every graph with $n$ vertices
Youming Qiao
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Manifestly T-dual formulation of AdS space

Journal of High Energy Physics, 2017
We present a manifestly T-dual formulation of curved spaces such as an AdS space. For group manifolds related by the orthogonal vielbein fields the three form H = dB in the doubled space is universal at least locally. We construct an affine nondegenerate
Machiko Hatsuda, Kiyoshi Kamimura, Warren Siegel   +2 more
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A note on rings with certain variables identities

International Journal of Mathematics and Mathematical Sciences, 1989
It is proved that certain rings satisfying generalized-commutator constraints of the form [xm,yn,yn,...,yn]=0 with m and n depending on x and y, must have nil commutator ideal.
Hazar Abu-Khuzam
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Optical Solitons, Optimal Systems and Conserved Quantities of the Schrödinger Equation with Spatio-Temporal and Inter-Modal Dispersions

Fractal and Fractional
In this study, we present a unified symmetry-conservation solution analysis of a well-posed resonant nonlinear Schrödinger (NLS)-type equation incorporating spatio-temporal dispersion and inter-modal dispersion.
Funda Turk
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DISPEL-GNN: De-Illusion via Spectral Stability and Perturbation Bound-Enforced Learning for Community Detection with Risk-Aware Dynamic Attention in Graph Neural Networks

Mathematics
Community detection in graphs can be viewed as the estimation of a partition map that remains stable under admissible perturbations of graph topology and node attributes.
Daozheng Qu, Yanfei Ma, Mykhailo Pyrozhenko   +2 more
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Current-Commutator Constraints on Three- and Four-Point Functions

Physical Review Letters, 1966
John M Cornwall
exaly