Publication : t08/164
A holomorphic and background independent partition function for matrix models and topological strings
Eynard B. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)Mariño M. (Section de Math ́ematiques et D ́epartement de Physique Th ́eorique, Universit ́e de Gen`eve, CH-1211 Gen`eve, Switzerland)
Abstract:Année de publication : 2011
We study various properties of a nonperturbative partition function which can be associated to any spectral curve. When the spectral curve arises from a matrix model, this nonperturbative partition function is given by a sum of matrix integrals over all possible filling fractions, and includes all the multi-instanton corrections to the perturbative 1/N expansion. We show that the nonperturbative partition function, which is manifestly holomorphic, is also modular and background independent: it transforms as the partition function of a twisted fermion on the spectral curve. Therefore, modularity is restored by nonperturbative corrections. We also show that this nonperturbative partition function obeys the Hirota equation and provides a natural nonperturbative completion for topological string theory on local Calabi-Yau threefolds.
Revue : J. Geom. Phys. 61 1181-1202 (2011)
Preprint : arXiv:0810.4273
Lien : http://www.sciencedirect.com/science/article/pii/S0393044010002408
Langue : Anglais
Fichier(s) à télécharger :
publi.pdf
