Normalized Weyl-type $\star$-product on Kähler manifolds

Abstract

We define a normalized Weyl-type $\star$-product on general Kähler manifolds. Expanding this product perturbatively we show that the cumbersome term, which appears in a Berezin-type product, does not appear at least in the first order of $\hslash$. This means a normalization factor, which is introduced by Reshetikhin and Takhtajan for a Berezin-type product, is unnecessary for our Weyl-type product at that order.

to be published in Mod. Phys. Lett. A

Cited by in corpus (2)

• Noncommutative Gauge Theory on Fuzzy Sphere from Matrix Model
• Stability of the fuzzy sphere solution from matrix model