CONFORMAL FIELD THEORIES COUPLED TO 2-D GRAVITY IN THE CONFORMAL GAUGE

CONFORMAL FIELD THEORIES COUPLED TO 2-D GRAVITY IN THE CONFORMAL GAUGE
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共形规范中与二维重力耦合的共形场理论

DOI:
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发表时间:
1988
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影响因子:
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通讯作者:
F. David
F. David
中科院分区:
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文献类型:
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作者:
F. David

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在共形规范中可以研究共形场理论与二维引力的耦合。作为应用,简单地导出了Knizhnik、Polyakov和Zamolodchikov关于共形场标度维的结果。证明了他们关于弦的磁化率指数γ的猜想,并将其推广到任意亏格曲面。这一结果与随机晶格模型的精确结果一致。
The coupling of conformal field theories to 2-d gravity may be studied in the conformal gauge. As an application, the results of Knizhnik, Polyakov and Zamolodchikov for the scaling dimensions of conformal fields are derived in a simple way. Their conjecture for the susceptibility exponent γ of strings is proven and extended to arbitrary genus surfaces. The result agrees with exact results from random lattice models.