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 dilato...
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2025-01-01
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Online Access: | https://doi.org/10.1007/JHEP01(2025)177 |
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author | Chethan Krishnan Sarthak Talukdar |
author_facet | Chethan Krishnan Sarthak Talukdar |
author_sort | Chethan Krishnan |
collection | DOAJ |
description | 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 higher dimensional black hole entropy is correctly reproduced by the winding condensate. |
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id | doaj-art-cc9a6f78bc124717b927a3756a51158f |
institution | Kabale University |
issn | 1029-8479 |
language | English |
publishDate | 2025-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj-art-cc9a6f78bc124717b927a3756a51158f2025-02-09T12:08:04ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025112310.1007/JHEP01(2025)177A vestige of FZZ duality in higher dimensionsChethan Krishnan0Sarthak Talukdar1Center for High Energy Physics, Indian Institute of ScienceCenter for High Energy Physics, Indian Institute of ScienceAbstract 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.https://doi.org/10.1007/JHEP01(2025)177Black Holes in String TheoryConformal Field Models in String TheoryModels of Quantum Gravity |
spellingShingle | Chethan Krishnan Sarthak Talukdar A vestige of FZZ duality in higher dimensions Journal of High Energy Physics Black Holes in String Theory Conformal Field Models in String Theory Models of Quantum Gravity |
title | A vestige of FZZ duality in higher dimensions |
title_full | A vestige of FZZ duality in higher dimensions |
title_fullStr | A vestige of FZZ duality in higher dimensions |
title_full_unstemmed | A vestige of FZZ duality in higher dimensions |
title_short | A vestige of FZZ duality in higher dimensions |
title_sort | vestige of fzz duality in higher dimensions |
topic | Black Holes in String Theory Conformal Field Models in String Theory Models of Quantum Gravity |
url | https://doi.org/10.1007/JHEP01(2025)177 |
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