Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-12-28
Phys.Lett. B324 (1994) 315-321
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, LATEX (with macros included), UMDEPP 93-212
Scientific paper
10.1016/0370-2693(94)90200-3
We show that $N=8$ {\it self-dual} supergravity theory, which is the consistent background for $N=2$ closed superstring theory in $2+2\-$dimensions, can accommodate the recently discovered two-dimensional dilaton gravity black hole solution, {\it via} appropriate dimensional reductions and truncations. Interestingly, the usual dilaton field in this set of solutions emerges from the scalar field in the ${\bf 70}\-$dimensional representation of an intrinsic global $SO(8)$ group. We also give a set of exact solutions, which can be interpreted as the dilaton field on Eguchi-Hanson gravitational instanton background, realized in an $N=1$ self-dual supergravity theory. This suggests that the $N=2$ superstring has a close (even closer) relationship with the two-dimensional black hole solution, which was originally developed in the context of bosonic string and $N=1$ superstring. Our result also provides supporting evidence for the conjecture that the $N=2$ superstring theory is the ``master theory'' of supersymmetric integrable systems in lower-dimensions.
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