Dual descriptions of spintwo massive particles in D=2+1 via master actions
Abstract
In the first part of this work we show the decoupling (up to contact terms) of redundant degrees of freedom which appear in the covariant description of spintwo massive particles in D=2+1. We make use of a master action which interpolates, without solving any constraints, between a first, second, and thirdorder (in derivatives) selfdual model. An explicit dual map between those models is derived. In our approach the absence of ghosts in the thirdorder selfdual model, which corresponds to a quadratic truncation of topologically massive gravity, is due to the triviality (no particle content) of the EinsteinHilbert action in D=2+1. In the second part of the work, also in D=2+1, we prove the quantum equivalence of the gauge invariant sector of a couple of selfdual models of opposite helicities (+2 and 2) and masses m_{+} and m_{} to a generalized selfdual model which contains a quadratic EinsteinHilbert action, a ChernSimons term of first order, and a FierzPauli mass term. The use of a firstorder ChernSimons term instead of a thirdorder one avoids conflicts with the sign of the EinsteinHilbert action.
 Publication:

Physical Review D
 Pub Date:
 February 2009
 DOI:
 10.1103/PhysRevD.79.045025
 arXiv:
 arXiv:0812.0161
 Bibcode:
 2009PhRvD..79d5025D
 Keywords:

 11.10.Kk;
 Field theories in dimensions other than four;
 High Energy Physics  Theory
 EPrint:
 title and abstract slightly modified, 3 references added, comments on interactions included