Results 41 to 50 of about 200,382 (172)

Gromov-Hausdorff limits of Kahler manifolds and algebraic geometry [PDF]

, 2012
We prove a general result about the geometry of holomorphic line bundles over Kahler manifolds.
arxiv   +1 more source

Higher dimensional quantum Hall effect as A-class topological insulator

Nuclear Physics B, 2014
We perform a detail study of higher dimensional quantum Hall effects and A-class topological insulators with emphasis on their relations to non-commutative geometry.
Kazuki Hasebe
doaj   +1 more source

The multitrace matrix model: An alternative to Connes NCG and IKKT model in 2 dimensions

Physics Letters B, 2016
We present a new multitrace matrix model, which is a generalization of the real quartic one matrix model, exhibiting dynamical emergence of a fuzzy two-sphere and its non-commutative gauge theory.
Badis Ydri
doaj  

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

Lectures notes in universal algebraic geometry [PDF]

arXiv, 2016
Lectures notes in universal algebraic geometry for ...
arxiv  

On trialities and their absolute geometries [PDF]

arXiv, 2023
We introduce the notion of moving absolute geometry of a geometry with triality and show that, in the classical case where the triality is of type $(I_\sigma)$ and the absolute geometry is a generalized hexagon, the moving absolute geometry also gives interesting flag-transitive geometries with Buekenhout diagram with parameters $(d_p, g, d_L) = (5, 3,
arxiv  

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

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

Chirality, a new key for the definition of the connection and curvature of a Lie-Kac superalgebra

Journal of High Energy Physics, 2021
A natural generalization of a Lie algebra connection, or Yang-Mills field, to the case of a Lie-Kac superalgebra, for example SU(m/n), just in terms of ordinary complex functions and differentials, is proposed.
Jean Thierry-Mieg
doaj   +1 more source

Geometry of symplectic log Calabi-Yau pairs [PDF]

arXiv, 2018
We will survey some aspects of the smooth topology, algebraic geometry, symplectic geometry and contact geometry of anti-canonical pairs in complex dimension two.
arxiv