Field Theoretic Realizations for Cubic Supersymmetry
Abstract
We consider a fourdimensional spacetime symmetry which is a nontrivial extension of the Poincaré algebra, different from supersymmetry and not contradicting a priori the wellknown nogo theorems. We investigate some field theoretical aspects of this new symmetry and construct invariant actions for noninteracting fermion and noninteracting boson multiplets. In the case of the bosonic multiplet, where twoform fields appear naturally, we find that this symmetry is compatible with a local U(1) gauge symmetry, only when the latter is gauge fixed by a 't HooftFeynman term.
 Publication:

International Journal of Modern Physics A
 Pub Date:
 2004
 DOI:
 10.1142/S0217751X04019913
 arXiv:
 arXiv:hepth/0305172
 Bibcode:
 2004IJMPA..19.5585M
 Keywords:

 03.50.Kk;
 03.65.Fd;
 11.30.Ly;
 Other special classical field theories;
 Algebraic methods;
 Other internal and higher symmetries;
 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 LaTex, 25 pages use macro amsmath and amsfonts.Section 5 slightly extended, some references corrected