Two-Dimensional Dilaton Gravity Black Hole Solution for $N=2$ Superstring Theory

Abstract

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.

12 pages, LATEX (with macros included), UMDEPP 93-212

References in corpus (11)

• Self-Dual N=8 Supergravity as Closed N=2(4) Strings
• Self-Dual Supersymmetry and Supergravity in Atiyah-Ward Space-Time
• Majorana-Weyl Spinors and Self-Duality Gauge Fields in 2+2 Dimensions
• Extended Supersymmetry and Self-Duality in 2+2 Dimensions
• Supersymmetric Self-Dual Yang-Mills and Supergravity as Background of Green-Schwarz Superstring
• Topological Field Theories and Space-Time Singularity
• Supersymmetric Soluble Systems Embedded in Supersymmetric Self--Dual Yang--Mills Theory
• Supersymmetric KP Systems Embedded in Supersymmetric Self-Dual Yang-Mills Theory
• Exact Solutions for Self--Dual Yang--Mills and Self--Dual Tensor Multiplets on Gravitational Instanton Background
• Self-Dual Supersymmetric Yang-Mills Theory Generates Witten's Topological Field Theory
• Self-Dual Supersymmetric Yang-Mills Theory Generates Two-Dimensional Supersymmetric WZNW Models

Cited by in corpus (2)

• Stationary Axisymmetric Black Holes, $N=2$ Superstring, and Self-Dual Gauge or Gravity Fields
• ``Alternative $N=(4,0)$ Superstring and $\s$-Models''