## SciPost Submission Page

# Thermal Decay without Information Loss in Horizonless Microstate Geometries

### by Iosif Bena, Pierre Heidmann, Ruben Monten, Nicholas P. Warner

#### - Published as SciPost Phys. 7, 063 (2019)

### Submission summary

As Contributors: | Ruben Monten |

Arxiv Link: | https://arxiv.org/abs/1905.05194v2 (pdf) |

Date accepted: | 2019-11-05 |

Date submitted: | 2019-10-25 |

Submitted by: | Monten, Ruben |

Submitted to: | SciPost Physics |

Discipline: | Physics |

Subject area: | High-Energy Physics - Theory |

Approach: | Theoretical |

### Abstract

We develop a new hybrid WKB technique to compute boundary-to-boundary scalar Green functions in asymptotically-AdS backgrounds in which the scalar wave equation is separable and is explicitly solvable in the asymptotic region. We apply this technique to a family of six-dimensional $\frac{1}{8}$-BPS asymptotically AdS$_3\,\times\,$S$^3$ horizonless geometries that have the same charges and angular momenta as a D1-D5-P black hole with a large horizon area. At large and intermediate distances, these geometries very closely approximate the extremal-BTZ$\,\times\,$S$^3$ geometry of the black hole, but instead of having an event horizon, these geometries have a smooth highly-redshifted global-AdS$_3\,\times\,$S$^3$ cap in the IR. We show that the response function of a scalar probe, in momentum space, is essentially given by the pole structure of the highly-redshifted global-AdS$_3$ modulated by the BTZ response function. In position space, this translates into a sharp exponential black-hole-like decay for times shorter than $N_1 N_5$, followed by the emergence of evenly spaced "echoes from the cap," with period $\sim N_1 N_5$. Our result shows that horizonless microstate geometries can have the same thermal decay as black holes without the associated information loss.

### Ontology / Topics

See full Ontology or Topics database.Published as SciPost Phys. 7, 063 (2019)

### Author comments upon resubmission

### List of changes

We have:

- corrected misprints such as SchrÃ¶dinger (p.9 and onward),

- replaced the notation $\Psi_E$ by $\Psi_{ex}$ in order to avoid notational conflict with other conventions (eq(2.12) and onward),

- addressed the confusing statement $x \ll \infty$ (p.11),

- added the definitions of the Airy functions (p.11),

- explained the statement that $J_R = 1/2$ is the minimal value (p.27),

- commented briefly on the difficulty extending our method to flat space superstrata (p.5),

- added references to the Virgo/LIGO and Event Horizon Telescope publications.