A Superstring Theory in 2+2 Dimensions

Details A Superstring Theory in 2+2 Dimensions A Superstring Theory in 2+2 Dimensions

1994-10-03

arxiv.org/abs/hep-th/9410006v1

Physics

High Energy Physics

High Energy Physics - Theory

CTP TAMU-43/94, SISSA-143/94/EP

Scientific paper

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 physical spectrum of the open string contains an infinite number of massless states, including a supermultiplet of a self-dual Yang-Mills field and a right-handed spinor and a supermultiplet of an anti-self-dual Yang-Mills field and a left-handed spinor. The higher-spin multiplets are natural generalisations of these self-dual and anti-self-dual multiplets.

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