Superstrings with new supersymmetry in (9,2) and (10,2) dimensions
Superstrings with new supersymmetry in (9,2) and (10,2) dimensions
We construct superstring theories that obey the new supersymmetry algebra ${{Q}_{\ensuremath{\alpha}}{,Q}_{\ensuremath{\beta}}}={\ensuremath{\gamma}}_{\ensuremath{\alpha}\ensuremath{\beta}}^{\ensuremath{\mu}\ensuremath{\nu}}{P}_{1\ensuremath{\mu}}{P}_{2\ensuremath{\nu}}$ in a Green-Schwarz formalism, with kappa supersymmetry also of the new type. The superstring is in a system with a superparticle so that their total momenta are ${P}_{2\ensuremath{\mu}}{,P}_{1\ensuremath{\nu}},$ respectively. The system is covariant and critical in (10,2) dimensions if …