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hep-th2006★ 2 cited
Fuzzy Torus and q-Deformed Lie Algebra
Ryuichi Nakayama
It will be shown that the defining relations for fuzzy torus and deformed (squashed) sphere proposed by J. Arnlind, et al (hep-th/0602290) (ABHHS) can be rewriten as a new algebra…
hep-th2004
Non-commutative Field Theory on S^4
Ryuichi Nakayama, Yusuke Shimono
In the previous paper (hep-th/0402010) we proposed a matrix configuration for a non-commutative S^4 (NC4S) and constructed a non-commutative (star) product for field theories on NC…
hep-th2004
Matrix Configurations for Spherical 4-branes and Non-commutative Structures on S^4
Ryuichi Nakayama, Yusuke Shimono
We present a Matrix theory action and Matrix configurations for spherical 4-branes. The dimension of the representations is given by N=2(2j+1) (j=1/2,1,3/2,...). The algebra which…