The Real Topological Vertex at Work

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.

58 pages; v2: minor changes, refs added

References in corpus (4)

• Evidence for Tadpole Cancellation in the Topological String
• The Real Topological String on a local Calabi-Yau
• Decoupling A and B model in open string theory -- Topological adventures in the world of tadpoles
• New Anomalies in Topological String Theory

Cited by in corpus (12)

• Extended Holomorphic Anomaly in Gauge Theory
• Orientifolds and the Refined Topological String
• Topological vertex formalism with O5-plane
• Orientifolding of the ABJ Fermi gas
• Wall Crossing Phenomenology of Orientifolds
• ABCD of Beta Ensembles and Topological Strings
• Taming open/closed string duality with a Losev trick
• M-theory interpretation of the real topological string
• Exact Chern-Simons / Topological String duality
• Towards a gauge theory interpretation of the real topological string
• Real topological string amplitudes
• Topics in Open Topological Strings