Torus knots and mirror symmetry

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 Sl(2, Z) symmetry of the spectral curve of the resolved c...

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Detalles Bibliográficos
Autores principales: Brini, Andrea, Eynard, Bertrand, Marino, Marcos
Lenguaje:eng
Publicado: 2011
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1007/s00023-012-0171-2
http://cds.cern.ch/record/1350168
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author Brini, Andrea
Eynard, Bertrand
Marino, Marcos
author_facet Brini, Andrea
Eynard, Bertrand
Marino, Marcos
author_sort Brini, Andrea
collection CERN
description 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 Sl(2, Z) symmetry of the spectral curve of the resolved conifold, and should be regarded as the mirror of the topological D-brane associated to 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.
id cern-1350168
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
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spelling cern-13501682023-03-15T19:12:17Zdoi:10.1007/s00023-012-0171-2http://cds.cern.ch/record/1350168engBrini, AndreaEynard, BertrandMarino, MarcosTorus knots and mirror symmetryParticle Physics - TheoryWe 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 Sl(2, Z) symmetry of the spectral curve of the resolved conifold, and should be regarded as the mirror of the topological D-brane associated to 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.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 Sl(2, Z) symmetry of the spectral curve of the resolved conifold, and should be regarded as the mirror of the topological D-brane associated to 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.arXiv:1105.2012CERN-PH-TH-2011-103oai:cds.cern.ch:13501682011-05-11
spellingShingle Particle Physics - Theory
Brini, Andrea
Eynard, Bertrand
Marino, Marcos
Torus knots and mirror symmetry
title Torus knots and mirror symmetry
title_full Torus knots and mirror symmetry
title_fullStr Torus knots and mirror symmetry
title_full_unstemmed Torus knots and mirror symmetry
title_short Torus knots and mirror symmetry
title_sort torus knots and mirror symmetry
topic Particle Physics - Theory
url https://dx.doi.org/10.1007/s00023-012-0171-2
http://cds.cern.ch/record/1350168
work_keys_str_mv AT briniandrea torusknotsandmirrorsymmetry
AT eynardbertrand torusknotsandmirrorsymmetry
AT marinomarcos torusknotsandmirrorsymmetry

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