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

Abstract

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.

29 pages

References in corpus (12)

• Strong-Weak Coupling Duality in Four Dimensional String Theory
• Duality, Quotients, and Currents
• On Non-Abelian Duality
• Conformally Exact Metric and Dilaton in String Theory on Curved Spacetime
• The Dark Side of String Theory: Black Holes and Black Strings
• Strings on Curved Spacetimes: Black Holes, Torsion, and Duality
• Global Analysis of New Gravitational Singularities in String and Particle Theories
• Non-Singularity of the Exact Two-Dimensional String Black Hole
• $SL(2,R)xSU(2)/R^2$ string model in curved spacetime and exact conformal results
• Chiral Gauged WZW Theories and Coset Models in Conformal Field Theory
• Exact Solutions of Four Dimensional Black Holes in String Theory
• Cosmological String Backgrounds

Cited by in corpus (7)

• Non-Abelian coset string backgrounds from asymptotic and initial data
• Exact monopole instantons and cosmological solutions in string theory from abelian dimensional reduction
• Scale without conformal invariance from integrable deformations of coset CFTs
• SO(3) \times U(1) isometric instantons with non abelian hair in four dimensional string theory
• On the Geometry of Coset Models with Flux
• SU(3)_c X SU(4)_L X U(1)_x model for three families
• Non standard parametrizations and adjoint invariants of classical groups