PreprintCC BY 4.0arXiv
Pfaffian solutions to the Ernst equation
Abstract
We show that the Yamazaki-Hori solution to the Ernst equation can be represented in the Pfaffian form. We also discuss the consequences of this result for Nakamura's conjecture on the relation between the Ernst equation and the 2D Toda model.
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BibTeX
@misc{melikyan2026pfaffian,
title = {{Pfaffian solutions to the Ernst equation}},
author = {Arsen Melikyan and Aleksandr Pinzul},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.27420},
eprint = {2610.27420},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.27420},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Pfaffian solutions to the Ernst equation
AU - Arsen Melikyan
AU - Aleksandr Pinzul
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.27420
UR - https://arxiv.org/abs/2610.27420
AB - We show that the Yamazaki-Hori solution to the Ernst equation can be represented in the Pfaffian form. We also discuss the consequences of this result for Nakamura's conjecture on the relation between the Ernst equation and the 2D Toda model.
ER -