Buscar
Mostrando ítems 31-40 de 81
Non-commutative geometry and symplectic field theory
(2007)
In this work we study representations of the Poincaré group defined over symplectic manifolds, deriving the Klein–Gordon and the Dirac equation in phase space. The formalism is associated with relativistic Wigner functions; ...
Projective modules and Gröbner bases for skew PBW extensions
(Polish Academy of Sciences. Institute of Mathematics, 2017-01)
Many rings and algebras arising in quantum mechanics, algebraic analysis, and non-commutative algebraic geometry can be interpreted as skew PBW (Poincare- Birkhoff Witt) extensions. In the present paper we study two aspects ...
Noncommutative U(1) gauge theory from a worldline perspective
(Springer, 2015-11)
Abstract: We study pure noncommutative U(1) gauge theory representing its one-loop effective action in terms of a phase space worldline path integral. We write the quadratic action using the background field method to keep ...
A Survey on Some Algebraic Characterizations of Hilbert’s Nullstellensatz for Non-commutative Rings of Polynomial TypeUn estudio sobre algunas caracterizaciones algebraicas del teorema de ceros de Hilbert para anillos no conmutativos de tipo polinomial
(Universidad EAFIT, 2020-06-19)
In this paper we present a survey of some algebraic characterizations of Hilbert’s Nullstellensatz for non-commutative rings of polynomial type. Using several results established in the literature, we obtain a version of ...
Higher spin fluctuations on spinless 4D BTZ black hole
(2019)
We construct linearized solutions to Vasiliev's four-dimensional higher spin gravity on warped AdS(3) x(xi)S(1) which is an Sp(2) x U(1) invariant non-rotating BTZ-like black hole with R-2 x T-2 topology. The background ...
Non-commutative differential calculus of some algebras of polynomial type having PBW bases
(Bogotá - Ciencias - Maestría en Ciencias - MatemáticasDepartamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-06-12)
In this work, we study the notion of differential calculus associated to an associative algebra, from its origin in manifolds geometry, to some generalizations in non commutative differential geometry. In particular, we ...