Geometric transitions and integrable systems

Duiliu Diaconescu, R. Dijkgraaf, R. Donagi, C. Hofman, T. Pantev

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We consider B-model large N duality for a new class of noncompact Calabi-Yau spaces modeled on the neighborhood of a ruled surface in a Calabi-Yau threefold. The closed string side of the transition is governed at genus zero by an A1 Hitchin integrable system on a genus g Riemann surface Σ. The open string side is described by a holomorphic Chern-Simons theory which reduces to a generalized matrix model in which the eigenvalues lie on the compact Riemann surface Σ. We show that the large N planar limit of the generalized matrix model is governed by the same A1 Hitchin system therefore proving genus zero large N duality for this class of transitions.

Original languageEnglish (US)
Pages (from-to)329-390
Number of pages62
JournalNuclear Physics B
Volume752
Issue number3
DOIs
StatePublished - Sep 25 2006

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strings
matrices
eigenvalues

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

Cite this

Diaconescu, D., Dijkgraaf, R., Donagi, R., Hofman, C., & Pantev, T. (2006). Geometric transitions and integrable systems. Nuclear Physics B, 752(3), 329-390. https://doi.org/10.1016/j.nuclphysb.2006.04.016
Diaconescu, Duiliu ; Dijkgraaf, R. ; Donagi, R. ; Hofman, C. ; Pantev, T. / Geometric transitions and integrable systems. In: Nuclear Physics B. 2006 ; Vol. 752, No. 3. pp. 329-390.
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Diaconescu, D, Dijkgraaf, R, Donagi, R, Hofman, C & Pantev, T 2006, 'Geometric transitions and integrable systems', Nuclear Physics B, vol. 752, no. 3, pp. 329-390. https://doi.org/10.1016/j.nuclphysb.2006.04.016

Geometric transitions and integrable systems. / Diaconescu, Duiliu; Dijkgraaf, R.; Donagi, R.; Hofman, C.; Pantev, T.

In: Nuclear Physics B, Vol. 752, No. 3, 25.09.2006, p. 329-390.

Research output: Contribution to journalArticle

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