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Higher Genus Amplitudes in SUSY Double-Well Matrix Model for 2D IIA Superstring

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Lie Theory and Its Applications in Physics (LT 2015)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 191))

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Abstract

We discuss a simple supersymmetric double-well matrix model which is considered to give a perturbation formulation of two-dimensional type IIA superstring theory on a nontrivial Ramond-Ramond background. Full nonperturbative contributions to the free energy are computed by using the technique of random matrix theory, and the result shows that supersymmetry (SUSY) is spontaneously broken by nonperturbative effects due to instantons. In addition, one-point functions of operators that are not protected by SUSY are obtained to all orders in genus expansion.

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Notes

  1. 1.

    We can repeat the parallel argument for “momentum background” in the type IIB theory, which is equivalent to the “winding background” in the type IIA theory through T-duality with respect to the \(S^1\) direction.

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Acknowledgements

The author would like to thank Michael G. Endres, Tsunehide Kuroki, Shinsuke Nishigaki and Hiroshi Suzuki for collaboration. He is grateful to the organizers of LT-11, especially Professor Vladimir K. Dobrev, for invitation to the wonderful meeting and for warm hospitality.

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Authors and Affiliations

  1. Okayama Institute for Quantum Physics, Kyoyama 1-9-1, Kita-ku, Okayama, 700-0015, Japan

    Fumihiko Sugino

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  1. Fumihiko Sugino
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Correspondence to Fumihiko Sugino .

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Editors and Affiliations

  1. Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, Sofia, Bulgaria

    Vladimir Dobrev

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Sugino, F. (2016). Higher Genus Amplitudes in SUSY Double-Well Matrix Model for 2D IIA Superstring. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. LT 2015. Springer Proceedings in Mathematics & Statistics, vol 191. Springer, Singapore. https://doi.org/10.1007/978-981-10-2636-2_14

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