Duality Invariant Non-Extreme Black Holes in Toroidally Compactified String Theory
نویسندگان
چکیده
We present duality invariant structure of the thermodynamic quantities of non-extreme black hole solutions of torodially compactified Type II (M theory) and heterotic string in five and four dimensions. These quantities are parameterized by duality invariant combinations of charges and the nonextremality parameter, which measures a deviation from the BPS-saturated limit. In particular, in D = 5 we find explicit Sand T-duality [U-duality] invariant expressions for solutions of toroidally compactified heterotic string [Type II string]. In D = 4, we consider general S-duality invariant expressions for non-extreme solutions of pure N = 4 supergravity and find to the leading order in non-extremality parameter the Tand S-duality invariant expressions of toroidally compactified heterotic string. General non-extreme solutions of toroidally compactified string in D = 4 are awaiting further investigation. 04.50.+h,04.20.Jb,04.70.Bw,11.25.Mj Typeset using REVTEX 1
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