Scattering amplitudes of massive N = 2 gauge theories in three dimensions
2014 (English)In: Physical Review D, ISSN 1550-7998, Vol. 89, no 4, 045020- p.Article in journal (Refereed) Published
We study the scattering amplitudes of mass-deformed Chern-Simons theories and Yang-Mills-Chern-Simons theories with N = 2 supersymmetry in three dimensions. In particular, we derive the on-shell supersymmetry algebras which underlie the scattering matrices of these theories. We then compute various 3 and 4-point on-shell tree-level amplitudes in these theories. For the mass-deformed Chern-Simons theory, odd-point amplitudes vanish and we find that all of the 4-point amplitudes can be encoded elegantly in superamplitudes. For the Yang-Mills-Chern-Simons theory, we obtain all of the 4-point tree-level amplitudes using a combination of perturbative techniques and algebraic constraints and we comment on difficulties related to computing amplitudes with external gauge fields using Feynman diagrams. Finally, we propose a Britto-Cachazo-Feng-Witten recursion relation for mass-deformed theories in three dimensions and discuss the applicability of this proposal to mass-deformed N = 2 theories.
Place, publisher, year, edition, pages
2014. Vol. 89, no 4, 045020- p.
Astronomy, Astrophysics and Cosmology
IdentifiersURN: urn:nbn:se:su:diva-102477DOI: 10.1103/PhysRevD.89.045020ISI: 000332175200004OAI: oai:DiVA.org:su-102477DiVA: diva2:710590