%0 Journal Article
%T c-map as c=1 string
%+ Laboratoire Charles Coulomb (L2C)
%A Alexandrov, Sergey
%Z 19 pages, 2 figures
%< avec comité de lecture
%Z L2C:12-008
%@ 0550-3213
%J Nuclear Physics B
%I Elsevier
%V 863
%N 1
%P 329-346
%8 2012-05-17
%D 2012
%Z 1201.4392
%R 10.1016/j.nuclphysb.2012.05.018
%Z Physics [physics]/High Energy Physics - Theory [hep-th]Journal articles
%X 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.
%G English
%L hal-00663227
%U https://hal.science/hal-00663227
%~ CNRS
%~ L2C
%~ MIPS
%~ UNIV-MONTPELLIER
%~ UM-2015-2021