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

Sangnam Park, Dongsu Bak

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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 languageEnglish
Pages (from-to)714-721
Number of pages8
JournalJournal of the Korean Physical Society
Volume60
Issue number5
DOIs
StatePublished - Mar 2012

Keywords

  • Chern-Simons theory
  • Non-relativistic superconformal symmetry
  • Scattering amplitude

Fingerprint

Dive into the research topics of 'Exact 4-point scattering amplitude of the superconformal Schrödinger Chern-Simons theory'. Together they form a unique fingerprint.

Cite this