c-map as c=1 string

Details c-map as c=1 string c-map as c=1 string

2012-01-20

arxiv.org/abs/1201.4392v1

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 2 figures

Scientific paper

We show the existence of a duality between the c-map space describing the universal hypermultiplet at tree level and the matrix model description of two-dimensional string theory compactified at a self-dual radius and perturbed by a sine-Liouville potential. It appears as a particular case of a general relation between the twistor description of four-dimensional quaternionic geometries and the Lax formalism for Toda hierarchy. Furthermore, we give an evidence that the instanton corrections to the c-map metric coming from NS5-branes can be encoded into the Baker-Akhiezer function of the integrable hierarchy.

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