N = 2 superstring - Wikipedia

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In string theory, N = 2 superstring is a theory in which the worldsheet admits N = 2 supersymmetry rather than N = 1 supersymmetry as in the usual superstring. The target space (a term used for a generalization of space-time) is four-dimensional, but either none or two of its dimensions are time-like, i.e. it has either 4+0 or 2+2 dimensions. The spectrum consists of only one massless scalar, which describes gravitational fluctuations of self-dual gravity. The target space theory is therefore self-dual gravity, and is thought to consist no local (or propagating) degrees of freedom.^[1]

References

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^ Barrett, J.; Gibbons, G. W.; Perry, M. J.; Pope, C. N.; Ruback, P. J. (1994-04-10). "Kleinian Geometry and the N=2 Superstring". International Journal of Modern Physics A. 09 (9): 1457–1493. arXiv:hep-th/9302073. Bibcode:1994IJMPA...9.1457B. doi:10.1142/S0217751X94000650. ISSN 0217-751X. S2CID 119477527.

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