Publication : t10/099

A matrix model for the topological string II: The spectral curve and mirror geometry

Eynard B. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Kashani-Poor A. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Marchal O. (CEA, IPhT (Institut de Physique Théorique), F-91191 Gif-sur-Yvette, France)
Abstract:
In a previous paper, we presented a matrix model reproducing the topological string partition function on an arbitrary given toric Calabi-Yau manifold. Here, we study the spectral curve of our matrix model and thus derive, upon imposing certain minimality assumptions on the spectral curve, the large volume limit of the BKMP "remodeling the B-model" conjecture, the claim that Gromov-Witten invariants of any toric Calabi-Yau 3-fold coincide with the spectral invariants of its mirror curve.
Année de publication : 2010
Revue : Ann. Henri Poincaré 14 119-158 (2010)
DOI : 10.1007/s00023-012-0184-x
Preprint : arXiv:1007.2194
Langue : Anglais

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