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Main Authors: Krishnan, Chethan, Talukdar, Sarthak
Format: Preprint
Published: 2024
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Online Access:https://arxiv.org/abs/2411.16669
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author Krishnan, Chethan
Talukdar, Sarthak
author_facet Krishnan, Chethan
Talukdar, Sarthak
contents In 1+1 dimensions, the equations of motion of the Horowitz-Polchinski (HP) effective string have a re-writing in terms of a first order system. This is attributed to FZZ duality. In this note, we observe that a similar re-writing exists in higher dimensions, so that the degree of the dilaton-winding subsystem reduces to first order. The 1+1 first order equations emerge as a natural limit of the higher dimensional HP system in the cap region of the cigar. As a result, there is a critical value of the winding amplitude that matches with the 1+1 coset SCFT prediction. At this critical point, the cigar has a puncture at the Euclidean horizon and the $higher$ $dimensional$ black hole entropy is correctly reproduced by the winding condensate.
format Preprint
id arxiv_https___arxiv_org_abs_2411_16669
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Vestige of FZZ Duality in Higher Dimensions
Krishnan, Chethan
Talukdar, Sarthak
High Energy Physics - Theory
In 1+1 dimensions, the equations of motion of the Horowitz-Polchinski (HP) effective string have a re-writing in terms of a first order system. This is attributed to FZZ duality. In this note, we observe that a similar re-writing exists in higher dimensions, so that the degree of the dilaton-winding subsystem reduces to first order. The 1+1 first order equations emerge as a natural limit of the higher dimensional HP system in the cap region of the cigar. As a result, there is a critical value of the winding amplitude that matches with the 1+1 coset SCFT prediction. At this critical point, the cigar has a puncture at the Euclidean horizon and the $higher$ $dimensional$ black hole entropy is correctly reproduced by the winding condensate.
title A Vestige of FZZ Duality in Higher Dimensions
topic High Energy Physics - Theory
url https://arxiv.org/abs/2411.16669