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arXiv 1209.0191hep-th
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伽利略共形代数的Wess-Zumino-Witten模型

Wess-Zumino-Witten Model for Galilean Conformal Algebra

Somdeb Chakraborty, Parijat Dey

摘要:

本文基于2维时空中的伽利略共形代数构造了一个Wess-Zumino-Witten模型,它是相对论共形代数的非相对论模拟.我们得到了对应于六维(群流形的维数)σ-模型的精确背景和一个c=6的中心荷。我们进行了Sugawara类型的建设,以验证共形不变性的模型。此外,我们讨论了作为一个物理时空度量的背景获得的可行性。

英文摘要:

In this note, we construct a Wess-Zumino-Witten model based on the Galilean conformal algebra in 2-spacetime dimensions, which is a nonrelativistic analogue of the relativistic conformal algebra. We obtain exact background corresponding to σ-models in six dimensions (the dimension of the group manifold) and a central charge c=6. We carry out a Sugawara type construction to verify the conformal invariance of the model. Further, we discuss the feasibility of the background obtained as a physical spacetime metric.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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