arXiv · hep-th/9410006
A Superstring Theory in 2+2 Dimensions
Abstract
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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Z. Khviengia, H. Lu, C. N. Pope, E. Sezgin, X. J. Wang, K. W. Xu. 1994-10-03. A Superstring Theory in 2+2 Dimensions. https://arxiv.org/abs/hep-th/9410006
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