Non-perturbative effects and the refined topological string

By Yasuyuki Hatsuda, Marcos Mariño, Sanefumi Moriyama, Kazumi Okuyama. 2013

258 citations recorded by the source corpus.

A bstractThe partition function of ABJM theory on the three-sphere has nonperturbative corrections due to membrane instantons in the M-theory dual. We show that the full series of membrane instanton corrections is completely determined by the refined topological string on the Calabi-Yau manifold known as local ℙ1 × ℙ1, in the NekrasovShatashvili limit. Our result can be interpreted as a first-principles derivation of the full series of non-perturbative effects for the closed topological string on this Calabi-Yau background. Based on this, we make a proposal for the non-perturbative free energy of topological strings on general, local Calabi-Yau manifolds.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/1e012aa1812620861cb264a3fa6530a532a55fdc

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Citations in the corpus

Topological Strings from Quantum Mechanics (2014, methodology): “In [10] a concrete proposal was made for a non-perturbative topological string free energy, inspired by the results on ABJM theory.”
Refined stable pair invariants for E-, M- and [p, q]-strings (2013, background): “The topological string on the del Pezzo surfaces captures [15] the topological sector [16] of three-dimensional ABJM theories proposed for the description of multiple M2-branes[17] even at strong coupling and recently it was found that the 1 = 0 sector of the refined topological string encodes the n”