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Black Holes and Solitons in String Theory

Donam Youm

TL;DR

Black Holes and Solitons in String Theory reviews how classical solutions in string theories realize supersymmetry and duality structures, linking p-branes and D-branes to black holes through a web of S-, T-, and U-dualities. It develops generating solutions and BPS bounds, and shows how microscopic entropy matching emerges from D-brane and brane-constructible microstates within N=2 and N=4 supergravity frameworks. The work emphasizes attractor mechanisms, moduli stabilization, and duality-invariant entropy expressions across dimensions, illustrating the deep unity between geometry of moduli spaces and black-hole thermodynamics. Overall, it highlights branes as essential non-perturbative ingredients for understanding quantum gravity within string/M-theory, and it systematically connects higher-dimensional brane physics to four- and five-dimensional black holes via dimensional reduction and dualities.

Abstract

We review various aspects of classical solutions in string theories. Emphasis is placed on their supersymmetry properties, their special roles in string dualities and microscopic interpretations. Topics include black hole solutions in string theories on tori and N=2 supergravity theories; p-branes; microscopic interpretation of black hole entropy. We also review aspects of dualities and BPS states.

Black Holes and Solitons in String Theory

TL;DR

Black Holes and Solitons in String Theory reviews how classical solutions in string theories realize supersymmetry and duality structures, linking p-branes and D-branes to black holes through a web of S-, T-, and U-dualities. It develops generating solutions and BPS bounds, and shows how microscopic entropy matching emerges from D-brane and brane-constructible microstates within N=2 and N=4 supergravity frameworks. The work emphasizes attractor mechanisms, moduli stabilization, and duality-invariant entropy expressions across dimensions, illustrating the deep unity between geometry of moduli spaces and black-hole thermodynamics. Overall, it highlights branes as essential non-perturbative ingredients for understanding quantum gravity within string/M-theory, and it systematically connects higher-dimensional brane physics to four- and five-dimensional black holes via dimensional reduction and dualities.

Abstract

We review various aspects of classical solutions in string theories. Emphasis is placed on their supersymmetry properties, their special roles in string dualities and microscopic interpretations. Topics include black hole solutions in string theories on tori and N=2 supergravity theories; p-branes; microscopic interpretation of black hole entropy. We also review aspects of dualities and BPS states.

Paper Structure

This paper contains 149 sections, 670 equations.