Boundary Liouville Field Theory I. Boundary State and Boundary Two-point Function
Boundary Liouville Field Theory I. Boundary State and Boundary Two-point Function
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边界刘维尔场论一、边界态与边界两点函数
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
A. Zamolodchikov
中科院分区：
文献类型：
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作者：
V. Fateev;A. Zamolodchikov;A. Zamolodchikov
研究了具有共形边界的刘维尔共形场论。有一个由边界宇宙学常数参数化的共形边界条件族，因此观测值依赖于边界和体宇宙学常数的维数比。磁盘的几何形状被认为是。我们提出了一个明确的表达式的期望值的散装经营者内的磁盘和两点功能的边界运营商。我们还评论退化边界算子的性质。可能的应用和进一步的发展进行了讨论。特别地，我们给出了边界sin-Gordon模型中边界算子的精确期望值。
Liouville conformal field theory is considered with conformal boundary. There is a family of conformal boundary conditions parameterized by the boundary cosmological constant, so that observables depend on the dimensional ratios of boundary and bulk cosmological constants. The disk geometry is considered. We present an explicit expression for the expectation value of a bulk operator inside the disk and for the two-point function of boundary operators. We comment also on the properties of the degenrate boundary operators. Possible applications and further developments are discussed. In particular, we present exact expectation values of the boundary operators in the boundary sin-Gordon model.