Involution in quantized endomorphism bundle and reality of noncommutative gravity actions

Details Involution in quantized endomorphism bundle and reality of noncommutative gravity actions Involution in quantized endomorphism bundle and reality of noncommutative gravity actions

2012-02-15

arxiv.org/abs/1202.3287v1

Physics

Mathematical Physics

9 pages

Scientific paper

It is shown that for arbitrary connection in the vector bundle compatible
with some Hermitian metric, the corresponding Fedosov trace functional commutes
with involution generated by this metric. This result is then used to prove
that certain noncommutative gravity actions are real in all powers of
deformation parameter.

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