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Black Holes in Supergravity: the non-BPS Branch

Eric G. Gimon, Finn Larsen, Joan Simon

Abstract

We construct extremal, spherically symmetric black hole solutions to 4D supergravity with charge assignments that preclude BPS-saturation. In particular, we determine the ground state energy as a function of charges and moduli. We find that the mass of the non-BPS black hole remains that of a marginal bound state of four basic constituents throughout the entire moduli space and that there is always a non-zero gap above the BPS bound.

Black Holes in Supergravity: the non-BPS Branch

Abstract

We construct extremal, spherically symmetric black hole solutions to 4D supergravity with charge assignments that preclude BPS-saturation. In particular, we determine the ground state energy as a function of charges and moduli. We find that the mass of the non-BPS black hole remains that of a marginal bound state of four basic constituents throughout the entire moduli space and that there is always a non-zero gap above the BPS bound.

Paper Structure

This paper contains 24 sections, 116 equations.

Table of Contents

  1. Introduction
  2. The Setting
  3. The Theory
  4. Charges
  5. The Equations of Motion
  6. Attractors
  7. BPS Solutions
  8. A Simple BPS Solution: D0-D4 Without B-fields
  9. The Most General BPS Solution
  10. D0-D4 Revisited: Non-trivial B-fields
  11. Non-BPS solutions: the $\overline{\rm\bf D0}$-D4 case
  12. The Simple Non-BPS Solution
  13. The Seed Solution: Non-BPS Black Holes with 5 Parameters
  14. Duality Orbits
  15. Non-BPS Attractors with Flat Directions
  16. ...and 9 more sections