The target space geometry of N=(2,1) string theory

Details The target space geometry of N=(2,1) string theory The target space geometry of N=(2,1) string theory

1996-05-30

arxiv.org/abs/hep-th/9605223v2

Class.Quant.Grav. 14 (1997) 309-338

Physics

High Energy Physics

High Energy Physics - Theory

41 pages, 5 figures, standard LaTeX, uses epsf.tex. Some typos corrected, discussion in footnote 1 corrected

Scientific paper

10.1088/0264-9381/14/2/007

We describe the ${\cal{O}}({\alpha'}^0)$ constraints on the target space geometry of the $N=(2,1)$ heterotic superstring due to the left-moving $N=1$ supersymmetry and $U(1)$ currents. In the fermionic description of the internal sector supersymmetry is realized quantum mechanically, so that both tree-level and one-loop effects contribute to the order ${\cal{O}}({\alpha'}^0)$ constraints. We also discuss the physical interpretation of the resulting target space geometry in terms of configurations of a $2+2$-dimensional object propagating in a $10+2$-dimensional spacetime with a null isometry, which has recently been suggested as a unified description of string and M theory.

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