q-Deformed Conformal and Poincaré Algebras on Quantum 4-spinors
نویسندگان
چکیده
We investigate quantum deformation of conformal algebras by constructing the quantum space for slq(4, C). The differential calculus on the quantum space and the action of the quantum generators are studied. We derive deformed su(4) and su(2, 2) algebras from the deformed sl(4) algebra using the quantum 4-spinor and its conjugate spinor. The 6-vector in soq(4, 2) is constructed as a tensor product of two sets of 4-spinors. The reality condition for the 6-vector and that for the generators are found. The q-deformed Poincaré algebra is extracted as a closed subalgebra. ∗ Fellow of the Japan Society for the Promotion of Science. Work partially supported by the Grant-in-Aid for Scientific Research from the Ministry of Education, Science and Culture (# 030083) Work partially supported by the Grant-in-Aid for Scientific Research from the Ministry of Education, Science and Culture (# 04245221)
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