The Topological Vertex View Full Text


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Article Info

DATE

2005-03

AUTHORS

Mina Aganagic, Albrecht Klemm, Marcos Mariño, Cumrun Vafa

ABSTRACT

We construct a cubic field theory which provides all genus amplitudes of the topological A-model for all non-compact toric Calabi-Yau threefolds. The topology of a given Feynman diagram encodes the topology of a fixed Calabi-Yau, with Schwinger parameters playing the role of Kähler classes of the threefold. We interpret this result as an operatorial computation of the amplitudes in the B-model mirror which is the quantum Kodaira-Spencer theory. The only degree of freedom of this theory is an unconventional chiral scalar on a Riemann surface. In this setup we identify the B-branes on the mirror Riemann surface as fermions related to the chiral boson by bosonization. More... »

PAGES

425-478

References to SciGraph publications

  • 1995. Enumeration of Rational Curves Via Torus Actions in THE MODULI SPACE OF CURVES
  • 1989-09. Quantum field theory and the Jones polynomial in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2000-11-03. Knots, links and branes at large N in JOURNAL OF HIGH ENERGY PHYSICS
  • 1988-09. Topological sigma models in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1982-07. Calibrated geometries in ACTA MATHEMATICA
  • 1998-01-06. Webs of (p,q) 5-branes, five dimensional field theories and grid diagrams in JOURNAL OF HIGH ENERGY PHYSICS
  • 2004-02-06. Matrix model as a mirror of Chern-Simons theory in JOURNAL OF HIGH ENERGY PHYSICS
  • 2004-05. All Loop Topological String Amplitudes from Chern-Simons Theory in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 1995. Chern-Simons gauge theory as a string theory in THE FLOER MEMORIAL VOLUME
  • 1994-10. Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2001-03. Polynomial Invariants for Torus Knots¶and Topological Strings in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00220-004-1162-z

    DOI

    http://dx.doi.org/10.1007/s00220-004-1162-z

    DIMENSIONS

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