An explicit formula for the Berezin star product

Mathematics – Quantum Algebra

Scientific paper

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19 pages, to appear in Lett. Math. Phys

Scientific paper

We prove an explicit formula of the Berezin star product on Kaehler
manifolds. The formula is expressed as a summation over certain strongly
connected digraphs. The proof relies on a combinatorial interpretation of
Englis' work on the asymptotic expansion of the Laplace integral.

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