The real topological vertex at work

We develop the real vertex formalism for the computation of the topological string partition function with D-branes and O-planes at the fixed point locus of an anti-holomorphic involution acting non-trivially on the toric diagram of any local toric Calabi-Yau manifold. Our results cover in particula...

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Bibliographic Details
Main Authors: Krefl, Daniel (Author) , Pasquetti, Sara (Author) , Walcher, Johannes (Author)
Format: Article (Journal)
Language:English
Published: 11 January 2010
In: Nuclear physics. B, Particle physics
Year: 2010, Volume: 833, Issue: 3, Pages: 153-198
ISSN:1873-1562
DOI:10.1016/j.nuclphysb.2010.01.002
Online Access:Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1016/j.nuclphysb.2010.01.002
Verlag, kostenfrei, Volltext: http://www.sciencedirect.com/science/article/pii/S0550321310000179
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Author Notes:Daniel Krefl, Sara Pasquetti, Johannes Walcher
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Summary:We develop the real vertex formalism for the computation of the topological string partition function with D-branes and O-planes at the fixed point locus of an anti-holomorphic involution acting non-trivially on the toric diagram of any local toric Calabi-Yau manifold. Our results cover in particular the real vertex with non-trivial fixed leg. We give a careful derivation of the relevant ingredients using duality with Chern-Simons theory on orbifolds. We show that the real vertex can also be interpreted in terms of a statistical model of symmetric crystal melting. Using this latter connection, we also assess the constant map contribution in Calabi-Yau orientifold models. We find that there are no perturbative contributions beyond one-loop, but a non-trivial sum over non-perturbative sectors, which we compare with the non-perturbative contribution to the closed string expansion.
Item Description:Gesehen am 25.02.2020
Physical Description:Online Resource
ISSN:1873-1562
DOI:10.1016/j.nuclphysb.2010.01.002