Star Products and Branes in Poisson-Sigma Models

Star Products and Branes in Poisson-Sigma Models
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泊松西格玛模型中的明星产品和膜

DOI:
10.1007/s00220-006-0104-3
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发表时间:
2005
影响因子:
2.4
通讯作者:
F. Falceto
F. Falceto
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
I. Calvo;F. Falceto

文献摘要

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我们证明了Poisson-Sigma模型中的非共各向同性膜在量子水平上是允许的。当膜由第二类约束定义时,模型的微扰量子化产生与膜上的狄拉克括号相关联的康采维奇星积。最后,我们给出了一般膜的量子化。
We prove that non-coisotropic branes in the Poisson-Sigma model are allowed at the quantum level. When the brane is defined by second-class constraints, the perturbative quantization of the model yields Kontsevich’s star product associated to the Dirac bracket on the brane. Finally, we present the quantization for a general brane.