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Scattering amplitudes of massive N = 2 gauge theories in three dimensions
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
2014 (English)In: Physical Review D, ISSN 1550-7998, Vol. 89, no 4, 045020- p.Article in journal (Refereed) Published
Abstract [en]

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.
Keyword [en]
Chern-Simons Theory, Loops, Duality
National Category
Astronomy, Astrophysics and Cosmology
URN: urn:nbn:se:kth:diva-143985DOI: 10.1103/PhysRevD.89.045020ISI: 000332175200004ScopusID: 2-s2.0-84897784398OAI: diva2:710320

QC 20140407

Available from: 2014-04-07 Created: 2014-04-04 Last updated: 2014-04-07Bibliographically approved

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Young, Donovan
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