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A duality in two-dimensional gravity
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DOI：10.1007/JHEP05(2019)111.png)
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摘要
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We demonstrate an equivalence between two integrable flows defined in a polynomial ring quotiented by an ideal generated by a polynomial. This duality of integrable systems allows us to systematically exploit the Korteweg-de Vries hierarchy and its tau-function to propose amplitudes for non-compact topological gravity on Riemann surfaces of arbitrary genus. We thus quantize topological gravity coupled to non-compact topologica matter and demonstrate that this phase of topological gravity at N = 2 matter central charge larger than three is equivalent to the phase with matter of central charge smaller than three.
Keyword:
2D Gravity
Conformal Field Models in String Theory
Integrable Field Theories
Topological Field Theories
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期刊
IF:
5.5
论文数:
4.0W
被引数:
13.7W
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