Quantum Field Theory on the q–deformed Fuzzy Sphere

نویسنده

  • H. Steinacker
چکیده

We discuss the second quantization of scalar field theory on the q–deformed fuzzy sphere S2 q,N for q ∈ IR, using a path–integral approach. We find quantum field theories which are manifestly covariant under Uq(su(2)), have a smooth limit q → 1, and satisfy positivity and twisted bosonic symmetry properties. Using a Drinfeld twist, they are equivalent to ordinary but slightly “nonlocal” QFT’s on the undeformed fuzzy sphere, which are covariant under SU(2).

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تاریخ انتشار 2008