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Exact 4-point scattering amplitude of the superconformal Schrödinger Chern-Simons theory

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Abstract

We consider the non-relativistic superconformal U(N) × U(N) Chern-Simons theory with level (k,−k) possessing fourteen supersymmetries. We obtain an exact four-point scattering amplitude of the theory to all orders in 1/N and 1/k and prove that the scattering amplitude becomes trivial when k = 1 and 2. We confirm this amplitude to one-loop order by using an explicit field theoretic computation and show that the beta function for the contact interaction vanishes to the one-loop order, which is consistent with the quantum conformal invariance of the underlying theory.

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Authors and Affiliations

  1. Department of Physics, University of Seoul, Seoul, 130-743, Korea

    Sangnam Park & Dongsu Bak

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  1. Sangnam Park
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  2. Dongsu Bak
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Correspondence to Dongsu Bak.

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Park, S., Bak, D. Exact 4-point scattering amplitude of the superconformal Schrödinger Chern-Simons theory. Journal of the Korean Physical Society 60, 714–721 (2012). https://doi.org/10.3938/jkps.60.714

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  • DOI: https://doi.org/10.3938/jkps.60.714

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