Torus Knots and Mirror Symmetry View Full Text


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Article Info

DATE

2012-12

AUTHORS

Andrea Brini, Marcos Mariño, Bertrand Eynard

ABSTRACT

We propose a spectral curve describing torus knots and links in the B-model. In particular, the application of the topological recursion to this curve generates all their colored HOMFLY invariants. The curve is obtained by exploiting the full \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${{\rm Sl}(2, \mathbb {Z})}$$\end{document} symmetry of the spectral curve of the resolved conifold, and should be regarded as the mirror of the topological D-brane associated with torus knots in the large N Gopakumar–Vafa duality. Moreover, we derive the curve as the large N limit of the matrix model computing torus knot invariants. More... »

PAGES

1873-1910

References to SciGraph publications

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  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s00023-012-0171-2

    DOI

    http://dx.doi.org/10.1007/s00023-012-0171-2

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1046628710


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