Chiral Fermions on Quantum Four-Spheres

Details Chiral Fermions on Quantum Four-Spheres Chiral Fermions on Quantum Four-Spheres

1994-09-09

arxiv.org/abs/hep-th/9409045v1

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, LaTeX file, OU-HET 200

Scientific paper

We construct wave functions and Dirac operator of spin $1/2$ fermions on quantum four-spheres. The construction can be achieved by the q-deformed differential calculus which is manifestly $SO(5)_q$ covariant. We evaluate the engenvalue of the Dirac operator on wave functions of the spinors and show that we can define the chiral fermions in such a way that the massless Dirac operator anti-commutes with $\gamma_5$.

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