Publication : t07/020
Holomorphic anomaly and matrix models
Eynard B. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)Orantin N. (CEA, DSM, SPhT (Service de Physique Théorique), F-91191 Gif-sur-Yvette, FRANCE)
Mariño M. (Theory Division, European Organization for Nuclear Research, CERN, CH-1211 Genève 23, Switzerland (Suisse))
Abstract:Année de publication : 2007
The genus g free energies of matrix models can be promoted to modular invariant, non-holomorphic amplitudes which only depend on the geometry of the classical spectral curve. We show that these non-holomorphic amplitudes satisfy the holomorphic anomaly equations of Bershadsky, Cecotti, Ooguri and Vafa. We derive as well holomorphic anomaly equations for the open string sector. These results provide evidence at all genera for the Dijkgraaf--Vafa conjecture relating matrix models to type B topological strings on certain local Calabi--Yau threefolds.
Revue : JHEP 0706 058 (2007)
DOI : 10.1088/1126-6708/2007/06/058
Preprint : arXiv:hep-th/0702110
Lien : http://www.iop.org/EJ/abstract/1126-6708/2007/06/058
Numéro Exterieur : CERN-PH-TH/2007031
Langue : Anglais
Fichier(s) à télécharger :
1126-6708_2007_06_058.pdf publi.pdf
