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The Real Topological Vertex at Work

Krefl, D, Pasquetti, S and Walcher, J (2009) The Real Topological Vertex at Work Nucl.Phys.B833:153-198,2010.

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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 Type: Article
Divisions : Surrey research (other units)
Authors :
Krefl, D
Walcher, J
Date : 8 September 2009
DOI : 10.1016/j.nuclphysb.2010.01.002
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:30
Last Modified : 24 Jan 2020 22:23

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