Perturbative aspects of mass-deformed 
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 Chern-Simons-matter theory

Lehum, A. C.; Nascimento, J. R.; Petrov, A. Yu.

doi:10.1103/physrevd.101.065010

Cited by 1 publication

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“…The mass deformed theory with N = 3 supersymmetry was formulated in N = 1 superspace in [63]. There have been some recent studies on N = 3 theories, see for instance [64] for studies on non-renormalization theorems and UV finiteness of supergraph perturbation theory, and [65] for effective potentials and RG flows. The mass deformation preserves N = 3 supersymmetry but breaks the R symmetry from SU (2) R → U (1) R .…”

Section: A Notations and Conventionsmentioning

confidence: 99%

Scattering amplitudes in $$ \mathcal{N} $$ = 3 supersymmetric SU(N) Chern-Simons-matter theory at large N

Inbasekar

Janagal

Shukla

2020

J. High Energ. Phys.

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We study N = 3 supersymmetric Chern-Simons-matter theory coupled to matter in the fundamental representation of SU (N ). In the 't Hooft large N limit, we compute the exact 2 → 2 scattering amplitudes of the fundamental scalar superfields to all orders in the 't Hooft coupling λ. Our computations are presented in N = 1 superspace and make significant use of the residual SO(2) R symmetry in order to solve for the exact four-point correlator of the scalar superfields. By taking the on-shell limit, we are able to extract the exact 2 → 2 scattering amplitudes of bosons/fermions in the symmetric, antisymmetric and adjoint channels of scattering. We find that the scattering amplitude of the N = 3 theory in the planar limit is tree-level exact to all orders in the 't Hooft coupling λ. The result is consistent with the conjectured bosonization duality and is expected to have enhanced symmetry structures such as dual superconformal symmetry and Yangian symmetry.

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Section: A Notations and Conventionsmentioning

confidence: 99%