Topological Strings and Integrable Hierarchies View Full Text


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Article Info

DATE

2006-01

AUTHORS

Mina Aganagic, Robbert Dijkgraaf, Albrecht Klemm, Marcos Mariño, Cumrun Vafa

ABSTRACT

We consider the topological B-model on local Calabi-Yau geometries. We show how one can solve for the amplitudes by using -algebra symmetries which encode the symmetries of holomorphic diffeomorphisms of the Calabi-Yau. In the highly effective fermionic/brane formulation this leads to a free fermion description of the amplitudes. Furthermore we argue that topological strings on Calabi-Yau geometries provide a unifying picture connecting non-critical (super)strings, integrable hierarchies, and various matrix models. In particular we show how the ordinary matrix model, the double scaling limit of matrix models, and Kontsevich-like matrix model are all related and arise from studying branes in specific local Calabi-Yau three-folds. We also show how an A-model topological string on P1 and local toric threefolds (and in particular the topological vertex) can be realized and solved as B-model topological string amplitudes on a Calabi-Yau manifold. More... »

PAGES

451-516

References to SciGraph publications

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  • 2005-05. Localization and Gluing of Topological Amplitudes in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2004-05. All Loop Topological String Amplitudes from Chern-Simons Theory in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2007. Seiberg-Witten Theory and Random Partitions in THE UNITY OF MATHEMATICS
  • 2005-03. The Topological Vertex in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2003-12-23. Strings from tachyons: the c = 1 matrix reloaded in JOURNAL OF HIGH ENERGY PHYSICS
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  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00220-005-1448-9

    DOI

    http://dx.doi.org/10.1007/s00220-005-1448-9

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1024015666


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