Toda lattice hierarchy and generalized string equations
Toda lattice hierarchy and generalized string equations
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DOI：
10.1007/bf02101675
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发表时间：
1995-06
影响因子：
2.4
通讯作者：
K. Takasaki
中科院分区：
文献类型：
--
作者：
K. Takasaki
本文用户田格族语言重新研究了p广义Kontsevich模型和紧化c =1弦理论的弦方程。与文献中的假设相反，p =−1的广义孔采维奇模型与自对偶半径为c =1的弦理论不一致。一个更广泛的家庭的解决方案的户田晶格层次结构，包括这些模型的构造，并满足广义弦方程。在这个新的框架中讨论了各种弦模型的地位。
String equations of thepthgeneralized Kontsevich model and the compactifiedc=1 string theory are re-examined in the language of the Toda lattice hierarchy. As opposed to a hypothesis postulated in the literature, the generalized Kontsevich model atp=−1 does not coincide with thec=1 string theory at selfdual radius. A broader family of solutions of the Toda lattice hierarchy including these models is constructed, and shown to satisfy generalized string equations. The status of a variety ofc≦1 string models is discussed in this new framework.