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.
Original language | English |
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Pages (from-to) | 714-721 |
Number of pages | 8 |
Journal | Journal of the Korean Physical Society |
Volume | 60 |
Issue number | 5 |
DOIs | |
State | Published - Mar 2012 |
Keywords
- Chern-Simons theory
- Non-relativistic superconformal symmetry
- Scattering amplitude