Quantum Field Theory on the q-deformed Fuzzy Sphere
Abstract
We discuss the second quantization of scalar field theory on the q-deformed fuzzy sphere S2q,N for q ∈ , 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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