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Kaluza-Klein Black Holes in String Theory

Finn Larsen

TL;DR

The paper analyzes non-supersymmetric Kaluza-Klein black holes in string theory, showing that extremal mass/entropy relations can be reproduced from a D0/D6 bound-state description via the Born-Infeld action, thus linking weak-coupling microstates to strong-coupling black-hole physics. It distinguishes slow and fast rotation branches, discusses stability and ergosphere behavior, and argues for a discrete Z2 duality relating weak and strong coupling regimes. Although not fully supersymmetric, the KK system exhibits structures reminiscent of BPS states, including duality-invariant entropy forms and potential CFT-like angular-momentum organization. Open problems remain, notably a precise microscopic accounting of entropy and a world-volume interpretation of angular momentum.

Abstract

Non-supersymmetric black holes carrying both electric and magnetic charge with respect to a single Kaluza-Klein gauge field have much in common with supersymmetric black holes. Angular momentum conservation and other general physics principles underlies some of their basic features. Kaluza-Klein black holes are interpreted in string theory as bound states of D6-branes and D0-branes. The microscopic theory reproduces the full nonlinear mass formula of the extremal black holes.

Kaluza-Klein Black Holes in String Theory

TL;DR

The paper analyzes non-supersymmetric Kaluza-Klein black holes in string theory, showing that extremal mass/entropy relations can be reproduced from a D0/D6 bound-state description via the Born-Infeld action, thus linking weak-coupling microstates to strong-coupling black-hole physics. It distinguishes slow and fast rotation branches, discusses stability and ergosphere behavior, and argues for a discrete Z2 duality relating weak and strong coupling regimes. Although not fully supersymmetric, the KK system exhibits structures reminiscent of BPS states, including duality-invariant entropy forms and potential CFT-like angular-momentum organization. Open problems remain, notably a precise microscopic accounting of entropy and a world-volume interpretation of angular momentum.

Abstract

Non-supersymmetric black holes carrying both electric and magnetic charge with respect to a single Kaluza-Klein gauge field have much in common with supersymmetric black holes. Angular momentum conservation and other general physics principles underlies some of their basic features. Kaluza-Klein black holes are interpreted in string theory as bound states of D6-branes and D0-branes. The microscopic theory reproduces the full nonlinear mass formula of the extremal black holes.

Paper Structure

This paper contains 14 sections, 18 equations.

Table of Contents

  1. Introduction
  2. Properties of Extreme Black Holes
  3. Basic Parameters
  4. Black hole mass:
  5. Black hole entropy
  6. The black hole temperature
  7. Comparison with Supersymmetric Black Holes
  8. 1)
  9. 2)
  10. 3)
  11. 4)
  12. Quantization Rules
  13. The Microscopic Description
  14. Discussion