Abstract
Abstract
We started a program to study the open string integrality invariants (LMOV invariants) for toric Calabi-Yau 3-folds with Aganagic-Vafa brane (AV-brane) several years ago. This paper is devoted to the case of resolved conifold with one out AV-brane in any integer framing τ , which is the large N duality of Chern-Simons theory for a framed unknot with integer framing τ in S
3. By using the methods from string dualities, we compute several explicit formulae of the corresponding LMOV invariants for this special model, whose integrality properties have been proved in a separated paper [56].
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference84 articles.
1. M. Aganagic and C. Vafa, Mirror symmetry, D-branes and counting holomorphic discs, hep-th/0012041 [INSPIRE].
2. M. Aganagic and C. Vafa, Large N Duality, Mirror Symmetry and a Q-deformed A-polynomial for Knots, arXiv:1204.4709 [INSPIRE].
3. A. Aganagic, A. Klemm, C. Vafa, Disk instantons, mirror symmetry and the duality web, Z. Naturforsch.A 57 (2002) 1.
4. M. Aganagic, A. Klemm, M. Mariño and C. Vafa, The Topological vertex, Commun. Math. Phys.254 (2005) 425 [hep-th/0305132] [INSPIRE].
5. M. Aganagic, M. Mariño and C. Vafa, All loop topological string amplitudes from Chern-Simons theory, Commun. Math. Phys.247 (2004) 467 [hep-th/0206164] [INSPIRE].
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