Notes on topological string theory and 2-D quantum gravity

Notes on topological string theory and 2-D quantum gravity
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发表时间:
1990-11
期刊:
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通讯作者:
R. Dijkgraaf;E. Verlinde;H. Verlinde
R. Dijkgraaf;E. Verlinde;H. Verlinde
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其他
文献类型:
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作者:
R. Dijkgraaf;E. Verlinde;H. Verlinde

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在这些笔记中,我们给拓扑弦理论的审查。我们讨论二维拓扑场论,代表其经典背景。我们描述了它们的对称性和物理振幅的性质。在d < 1的特殊情况下,我们解释拓扑弦理论如何能被精确地求解,通过推导不同属的世界片相关函数之间的递归关系形式的Schwinger-Dyson方程。基于讲座提出的春季学校弦和量子引力,的里雅斯特,4月24日至5月2日,1990年和Cargése研讨会随机表面,量子引力和弦,5月28日至6月1日,1990年。
In these notes we give a review of topological string theory. We discuss twodimensional topological field theories, which represent its classical backgrounds. We describe their symmetries and the properties of the physical amplitudes. In the particular context of d < 1 we explain how topological string theory can be exactly solved, by deriving Schwinger-Dyson equations in the form of recursion relations between world-sheet correlation functions at different genera. ∗Based on lectures presented at the Spring School on Strings and Quantum Gravity, Trieste, April 24 – May 2, 1990 and the Cargése Workshop on Random Surfaces, Quantum Gravity and Strings, May 28 – June 1, 1990.