Results 71 to 80 of about 916 (188)

Gauge Theories and non-Commutative Geometry: A review

EPJ Web of Conferences, 2018
This is a very brief report on the attempts to introduce the concepts of noncommutative geometry in the theoretical description of the fundamental interactions. A particular emphasis will be given to gauge theories. A large part of the report is based on
Iliopoulos John
doaj   +1 more source

Model Predictive Control of Gas Networks Based on Port‐Hamiltonian Formulations

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 3, September 2026.
ABSTRACT To efficiently compute optimal compressor actions in gas networks, we investigate port‐Hamiltonian models consisting of linear and a nonlinear model assumptions. The control actions are derived via adjoint‐based gradients that incorporate the constraints of the underlying optimization problem. We then present results from the implementation of
Andres Ortegón‐Villacorte, Jan Rohleff   +1 more
wiley   +1 more source

Non-commutative differential geometry [PDF]

Publications Mathématiques de l'IHÉS, 1985
In this article, Connes lays the groundwork for a theory of noncommutative differential geometry, i.e. differential geometry for noncommutative algebras generalizing the commutative algebra \({\mathcal C}^{\infty}(M)\) of smooth functions on a compact manifold. The idea of doing topology of noncommutative ''topological spaces'', i.e. \(C^*\)- algebras,
openaire   +2 more sources

Localization sequences for logarithmic topological cyclic homology

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes, Steffen Sagave, Christian Schlichtkrull   +2 more
wiley   +1 more source

Symplectic groupoids and Poisson electrodynamics

Journal of High Energy Physics
We develop a geometric approach to Poisson electrodynamics, that is, the semi-classical limit of noncommutative U(1) gauge theory. Our framework is based on an integrating symplectic groupoid for the underlying Poisson brackets, which we interpret as the
Vladislav G. Kupriyanov, Alexey A. Sharapov, Richard J. Szabo   +2 more
doaj   +1 more source

Higher representation stability for ordered configuration spaces

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley   +1 more source

Covariant quantization of field theories on T-Minkowski noncommutative spacetimes

Journal of High Energy Physics
We develop a quantization scheme for the quantum theory of a real scalar field on a class of non-commutative spacetime models collectively known as T-Minkowski.
Giuseppe Fabiano, Flavio Mercati
doaj   +1 more source

Quantum noncommutative ABJM theory: first steps

Journal of High Energy Physics, 2018
We introduce ABJM quantum field theory in the noncommutative spacetime by using the component formalism and show that it is N $$ \mathcal{N} $$ = 6 supersymmetric. For the U(1) κ × U(1)−κ case, we compute all one-loop 1PI two and three point functions in
Carmelo P. Martin, Josip Trampetic, Jiangyang You   +2 more
doaj   +1 more source

Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic

Communications on Pure and Applied Mathematics, Volume 79, Issue 8, Page 1973-2102, August 2026.
ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley   +1 more source

A fuzzy bipolar celestial sphere

Journal of High Energy Physics, 2019
We introduce a non-commutative deformation of the algebra of bipolar spherical harmonics supporting the action of the full Lorentz algebra. Our construction is close in spirit to the one of the non-commutative spherical harmonics associated to the fuzzy ...
Francesco Alessio, Michele Arzano
doaj   +1 more source