Gravitational instantons and black plane solutions in 4-d string theory

Details Gravitational instantons and black plane solutions in 4-d string theory Gravitational instantons and black plane solutions in 4-d string theory

1994-11-21

arxiv.org/abs/hep-th/9411152v1

Phys.Rev. D52 (1995) 2266-2277

Physics

High Energy Physics

High Energy Physics - Theory

29 pages

Scientific paper

10.1103/PhysRevD.52.2266

We consider gauged Wess-Zumino models based on the non compact group $SU(2,1)$. It is shown that by vector gauging the maximal compact subgroup $U(2)$ the resulting backgrounds obey the gravity-dilaton one loop string vacuum equations of motion in four dimensional euclidean space. The torsionless solution is then interpreted as a pseudo-instanton of the $d=4$ Liouville theory coupled to gravity. The presence of a traslational isometry in the model allows to get another string vacuum backgrounds by using target duality that we identify with those corresponding to the axial gauging. We also compute the exact backgrounds. Depending on the value of $k$, they may be interpreted as instantons connecting a highly singular big bang like universe with a static singular or regular black plane geometry.

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