A Fuzzy Three Sphere and Fuzzy Tori

Details A Fuzzy Three Sphere and Fuzzy Tori A Fuzzy Three Sphere and Fuzzy Tori

2003-06-24

arxiv.org/abs/hep-th/0306231v1

JHEP 0310 (2003) 060

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, typeset in LaTeX, uses youngtab.sty

Scientific paper

10.1088/1126-6708/2003/10/060

A fuzzy circle and a fuzzy 3-sphere are constructed as subspaces of fuzzy complex projective spaces, of complex dimension one and three, by modifying the Laplacians on the latter so as to give unwanted states large eigenvalues. This leaves only states corresponding to fuzzy spheres in the low energy spectrum (this allows the commutative algebra of functions on the continuous sphere to be approximated to any required degree of accuracy). The construction of a fuzzy circle opens the way to fuzzy tori of any dimension, thus circumventing the problem of power law corrections in possible numerical simulations on these spaces.

Affiliated with

Also associated with

No associations

Rating

A Fuzzy Three Sphere and Fuzzy Tori does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A Fuzzy Three Sphere and Fuzzy Tori, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Fuzzy Three Sphere and Fuzzy Tori will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-52718