Dolan, Brian and O'Connor, Denjoe and Presnajder, Peter
(2004)
Fuzzy Complex Quadrics and Spheres.
Journal of High Energy Physics, 0402.
Abstract
A matrix algebra is constructed which consists of the necessary degrees of freedom for a finite approximation to the algebra of functions on the family of orthogonal Grassmannians of real dimension 2N, known as complex quadrics. These matrix algebras contain the relevant degrees of freedom for describing truncations of harmonic expansions of functions on Nspheres. An InonuWigner contraction of the quadric gives the cotangent bundle to the commutative sphere in the continuum limit. It is shown how the degrees of freedom for the sphere can be projected out of a finite dimensional functional integral, using secondorder Casimirs, giving a welldefined procedure for construction functional integrals over fuzzy spheres of any dimension.
Item Type: 
Article

Keywords: 
Field Theories in Higher Dimensions
Differential and Algebraic Geometry
NonCommutative Geometry 
Academic Unit: 
Faculty of Science and Engineering > Experimental Physics 
Item ID: 
247 
Depositing User: 
Dr. Brian Dolan

Date Deposited: 
30 Aug 2005 
Journal or Publication Title: 
Journal of High Energy Physics 
Publisher: 
IOP 
Refereed: 
Yes 
URI: 

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