A note on instanton effects in ABJM theoryReport as inadecuate

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Journal of High Energy Physics

, 2014:100

First Online: 19 November 2014Received: 24 September 2014Accepted: 05 November 2014 Abstract

We consider the quantum spectral problem appearing the Fermi gas formulation of the ABJM Aharony-Bergman-Jafferis-Maldacena matrix model. This is known to related to the refined topological string on local ℙ × ℙ Calabi-Yau geometry. In the ABJM setting the problem is formulated by an integral equation, and is somewhat different from the one formulated directly in terms of the Calabi-Yau geometry and studied in our earlier paper. We use the similar method in our earlier paper to determine the non-perturbative contributions to the quantum phase volume in the ABJM case from the Bohr-Sommerfeld quantization condition. As in our earlier paper, the non-perturbative contributions contain higher order smooth corrections beyond those required by singularity cancellations with the perturbative contributions proposed by Kallen and Marino. Our results imply possible new contributions to the grand potential of the ABJM matrix model.

KeywordsMatrix Models AdS-CFT Correspondence Topological Strings ArXiv ePrint: 1409.4967

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Author: Xian-fu Wang - Xin Wang - Min-xin Huang

Source: https://link.springer.com/

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