Cubic interactions of massless bosonic fields in three dimensions. II. Parityodd and ChernSimons vertices
Abstract
This work completes the classification of the cubic vertices for arbitraryspin massless bosons in three dimensions started in a previous companion paper by constructing parityodd vertices. Similarly to the parityeven case, there is a unique parityodd vertex for any given triple s_{1}≥s_{2}≥s_{3}≥2 of massless bosons if the triangle inequalities are satisfied (s_{1}<s_{2}+s_{3} ) and none otherwise. These vertices involve two (three) derivatives for odd (even) values of the sum s_{1}+s_{2}+s_{3}. A nontrivial relation between parityeven and parityodd vertices is found. Similarly to the parityeven case, the scalar and Maxwell matter can couple to higher spins through current couplings with higher derivatives. We comment on possible lessons for twodimensional conformal field theory. We also derive both parityeven and parityodd vertices with ChernSimons fields and comment on the analogous classification in two dimensions.
 Publication:

Physical Review D
 Pub Date:
 May 2018
 DOI:
 10.1103/PhysRevD.97.106021
 arXiv:
 arXiv:1803.02737
 Bibcode:
 2018PhRvD..97j6021K
 Keywords:

 High Energy Physics  Theory
 EPrint:
 29 pages