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. © 2010 Elsevier B.V

Krefl, D., Pasquetti, S., & Walcher, J. (2010). The real topological vertex at work. NUCLEAR PHYSICS. B, 833(3), 153-198 [10.1016/j.nuclphysb.2010.01.002].

The real topological vertex at work

PASQUETTI, SARA
Secondo
;
2010

Abstract

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. © 2010 Elsevier B.V
Articolo in rivista - Articolo scientifico
Orientifold; Topological string theory; Topological vertex;
English
153
198
46
Krefl, D., Pasquetti, S., & Walcher, J. (2010). The real topological vertex at work. NUCLEAR PHYSICS. B, 833(3), 153-198 [10.1016/j.nuclphysb.2010.01.002].
Krefl, D; Pasquetti, S; Walcher, J
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/145691
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