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Poles in the $S$-Matrix of Relativistic Chern-Simons Matter theories from Quantum Mechanics
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abstract
An all orders formula for the $S$-matrix for 2 $\rightarrow$ 2 scattering in large N Chern-Simons theory coupled to a fundamental scalar has recently been conjectured. We find a scaling limit of the theory in which the pole in this $S$-matrix is near threshold. We argue that the theory must be well described by non-relativistic quantum mechanics in this limit, and determine the relevant Schroedinger equation. We demonstrate that the $S$-matrix obtained from this Schroedinger equation agrees perfectly with this scaling limit of the relativistic $S$-matrix; in particular the pole structures match exactly. We view this matching as a nontrivial consistency check of the conjectured field theory $S$-matrix.
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Mass-deformed $\mathcal{N} = 3$ Supersymmetric Chern-Simons-Matter Theory
The authors construct the unique mass-deformed N=3 U(N) Chern-Simons-Matter action and express it in N=1 superspace.
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