2D fractional supersymmetry for rational conformal field theory: Application for thirdinteger spin states
Abstract
A 2D fractional supersymmetry theory is algebraically constructed. The Lagrangian is derived using an adapted superspace including, in addition to a scalar field, two fields with spins {1}/{3}, {2}/{3} This theory turns out to be a rational conformal field theory. The symmetry of this model goes beyond the superVirasoro algebra and connects these thirdinteger spin states. Besides the stressmomentum tensor, we obtain a supercurrent of spin {4}/{3}. Cubic relations are involved in order to close the algebra; the basic algebra is no longer a Lie or a superLie algebra. The central charge of this model is found to be {5}/{3} Finally, we analyze the form that a local invariant action should take.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/S05503213(96)005226
 arXiv:
 arXiv:hepth/9603149
 Bibcode:
 1996NuPhB.482..325P
 Keywords:

 High Energy Physics  Theory
 EPrint:
 LaTex, 20 pages. Revised in response to referees' Comments