## Abstract

We calculate the entropy of an asymptotically Schwarzschild black hole, using an effective field theory of winding modes in type II string theory. In Euclidean signature, the geometry of the black hole contains a thermal cycle which shrinks towards the horizon. The light excitations thus include, in addition to the metric and the dilaton, also the winding modes around this cycle. The winding modes condense in the near-horizon region and source the geometry of the thermal cycle. Using the effective field theory action and standard thermodynamic relations, we show that the entropy, which is also sourced by the winding modes condensate, is exactly equal to the Bekenstein-Hawking entropy of the black hole. We then discuss some properties of the winding mode condensate and end with an application of our method to an asymptotically linear-dilaton black hole.

Original language | English |
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Article number | 219 |

Journal | Journal of High Energy Physics |

Volume | 2021 |

Issue number | 10 |

DOIs | |

State | Published - 1 Oct 2021 |

## Keywords

- Black Holes
- Black Holes in String Theory
- Tachyon Condensation

## ASJC Scopus subject areas

- Nuclear and High Energy Physics