A Vestige of FZZ Duality in Higher Dimensions
Abstract
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 black hole entropy is correctly reproduced by the winding condensate.
Cite
@article{arxiv.2411.16669,
title = {A Vestige of FZZ Duality in Higher Dimensions},
author = {Chethan Krishnan and Sarthak Talukdar},
journal= {arXiv preprint arXiv:2411.16669},
year = {2025}
}
Comments
v1 became the published version, v2 contains two minor corrections to the published version