$N=1$ Superstring in $2+2$ Dimensions

Details $N=1$ Superstring in $2+2$ Dimensions $N=1$ Superstring in $2+2$ Dimensions

1995-04-24

arxiv.org/abs/hep-th/9504121v1

Nucl.Phys.B444:468-486,1995

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, latex, no figures.

Scientific paper

10.1016/0550-3213(95)00194-W

In this paper we construct a $(2,2)$ dimensional string theory with manifest $N=1$ spacetime supersymmetry. We use Berkovits' approach of augmenting the spacetime supercoordinates by the conjugate momenta for the fermionic variables. The worldsheet symmetry algebra is a twisted and truncated ``small'' $N=4$ superconformal algebra. The realisation of the symmetry algebra is reducible with an infinite order of reducibility. We study the physical states of the theory by two different methods. In one of them, we identify a subset of irreducible constraints, which is by itself critical. We construct the BRST operator for the irreducible constraints, and study the cohomology and interactions. This method breaks the $SO(2,2)$ spacetime symmetry of the original reducible theory. In another approach, we study the theory in a fully covariant manner, which involves the introduction of infinitely many ghosts for ghosts.

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