The Geometry of the Virasoro Group for Physicists
The Geometry of the Virasoro Group for Physicists
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物理学家维拉索罗群的几何
DOI：
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发表时间：
1988
期刊：
影响因子：
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通讯作者：
B. Zumino
中科院分区：
文献类型：
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作者：
B. Zumino
Diff（S 1）是圆的重参数化群，在弦理论中被称为Virasoro群。保持圆上某一点不变的重参数化构成商空间Dif（S1）/S1.这个空间的几何学与弦理论和弦场论有关。我们把这个空间描述成一个具有Kahler度量的无穷维复流形，并计算它的黎曼张量和里奇张量。
Diff(S 1), the group of reparametrizations of the circle, is known as the Virasoro group in string theory. Reparametrizations keeping fixed a point of the circle form the quotient space Dif f(S 1)/S 1. The geometry of this space is relevant for string theory and string field theory. We describe this space as an infinite dimensional complex manifold with a Kahler metric and compute its Riemann tensor and its Ricci tensor.