摘要: Deformation quantization is a formal deformation of the algebra smooth functions on some manifold. In classical setting, Poisson bracket serves as an initial conditions, while associativity allows to proceed higher orders. Some applications string theory require in direction quasi-Poisson (that does not satisfy Jacobi identity). This condition incompatible with associativity, it quite unclear which restrictions can be imposed deformation. We show that for any exists and essentially unique if one requires (weak) hermiticity Weyl condition. also propose iterative procedure compute star product up desired order.
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