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A SUSY Double-Well Matrix Model as 2D Type IIA Superstring

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Lie Theory and Its Applications in Physics

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 111))

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Abstract

We discuss correspondence between a simple supersymmetric matrix model with a double-well potential and two-dimensional type IIA superstrings on a nontrivial Ramond–Ramond background. In particular, we can see direct correspondence between single trace operators in the matrix model and vertex operators in the type IIA theory by computing scattering amplitudes and comparing the results in both sides.

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Notes

  1. 1.

    In two dimensions, “tachyon” turns out to be not truly tachyonic but massless.

  2. 2.

    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 and Hiroshi Suzuki for collaboration. He is grateful to the organizers of LT-10, especially Professor Vladimir Dobrev, for the 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. Bulgarian Academy of Sciences, Institute for Nuclear Research and Nuclear Energy, Sofia, Bulgaria

    Vladimir Dobrev

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Sugino, F. (2014). A SUSY Double-Well Matrix Model as 2D Type IIA Superstring. In: Dobrev, V. (eds) Lie Theory and Its Applications in Physics. Springer Proceedings in Mathematics & Statistics, vol 111. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55285-7_12

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