BICOMPLEXES, INTEGRABLE MODELS, AND NONCOMMUTATIVE GEOMETRY
نویسندگان
چکیده
منابع مشابه
Noncommutative Geometry and a Class of Completely Integrable Models
We introduce a Hodge operator in a framework of noncommutative geometry. The complete integrability of 2-dimensional classical harmonic maps into groups (σ-models or principal chiral models) is then extended to a class of ‘noncommutative’ harmonic maps into matrix algebras.
متن کاملTowards Noncommutative Integrable Equations
We study the extension of integrable equations which possess the Lax representations to noncommutative spaces. We construct various noncommutative Lax equations by the Lax-pair generating technique and the Sato theory. The Sato theory has revealed essential aspects of the integrability of commutative soliton equations and the noncommutative extension is worth studying. We succeed in deriving va...
متن کاملTowards Noncommutative Integrable Systems
We present a powerful method to generate various equations which possess the Lax representations on noncommutative (1+1) and (1+2)-dimensional spaces. The generated equations contain noncommutative integrable equations obtained by using the bicomplex method and by reductions of the noncommutative (anti-)self-dual Yang-Mills equation. This suggests that the noncommutative Lax equations would be ...
متن کاملEarly Universe Models from Noncommutative Geometry
We investigate cosmological predictions on the early universe based on the noncommutative geometry models of gravity coupled to matter. Using the renormalization group analysis for the Standard Model with right handed neutrinos and Majorana mass terms, which is the particle physics content of the most recent noncommutative geometry models, we analyze the behavior of the coefficients of the grav...
متن کاملBuilding Cosmological Models via Noncommutative Geometry
This is an overview of new and ongoing research developments aimed at constructing cosmological models based on noncommutative geometry, via the spectral action functional, thought of as a modified gravity action, which includes the coupling with matter when computed on an almost commutative geometry. This survey is mostly based on recent results obtained in collaboration with Elena Pierpaoli a...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Modern Physics B
سال: 2000
ISSN: 0217-9792,1793-6578
DOI: 10.1142/s0217979200001977