A New Class of Two-Dimensional Noncommutative Spaces | Zendy

A. Pinzul | Zendy; A. Stern | Zendy

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A New Class of Two-Dimensional Noncommutative Spaces

Author(s) -

A. Pinzul,

A. Stern

Publication year - 2002

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2002/03/039

Subject(s) - noncommutative geometry , mathematics , noncommutative algebraic geometry , noncommutative quantum field theory , limit (mathematics) , pure mathematics , plane (geometry) , class (philosophy) , quantum differential calculus , constant (computer programming) , mathematical analysis , poisson distribution , differential (mechanical device) , geometry , physics , computer science , artificial intelligence , statistics , programming language , thermodynamics

We find an infinite number of noncommutative geometries which posses adifferential structure. They generalize the two dimensional noncommutativeplane, and have infinite dimensional representations. Upon applying generalizedcoherent states we are able to take the continuum limit, where we recover thepunctured plane with non constant Poisson structures.Comment: 19 page

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