Dual Heterotic Black-Holes in Four and Two Dimensions

Abstract

We consider a class of extremal and non-extremal four-dimensional black-hole solutions occuring in toroidally compactified heterotic string theory, whose ten-dimensional interpretation involves a Kaluza-Klein monopole and a five-brane. We show that these four-dimensional solutions can be connected to extremal and non-extremal two-dimensional heterotic black-hole solutions through a change in the asymptotic behaviour of the harmonic functions associated with the Kaluza-Klein monopole and with the five-brane. This change in the asymptotic behaviour can be achieved by a sequence of S and T-S-T duality transformations in four dimensions. These transformations are implemented by performing a reduction on a two-torus with Lorentzian signature. We argue that the same mechanism can be applied to extremal and non-extremal black-hole solutions in the FHSV model.

10 pages, latex, 1 reference added

References in corpus (3)

• Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes
• From Type IIA Black Holes to T-dual Type IIB D-Instantons in N=2, D=4 Supergravity
• Duality Invariant Non-Extreme Black Holes in Toroidally Compactified String Theory

Cited by in corpus (6)

• The 3-string vertex and the AdS/CFT duality in the PP-wave limit
• Instanton-induced Yang-Mills correlation functions at large N and their AdS_5xS^5 duals
• Black Hole Thermodynamics and Two-Dimensional Dilaton Gravity Theory
• Dirac quasinormal modes of two-dimensional charged Dilatonic Black Holes
• Fermionic greybody factors of two and five-dimensional dilatonic black holes
• Entropy spectrum of (1+1) dimensional stringy black holes