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All Order Self-Dual Correlators From Symmetries
Abstract
We consider the scalar actions for self-dual Yang-Mills and self-dual gravity. We give a novel resummed version of their infinite tower of symmetries. We show that the Ward identities for symmetries corresponding to the individual levels of the infinite tower give the soft limits for wavefunction coefficients, while their resummed version completely fixes the full wavefunction. Our analysis is valid for general boundary conditions. Finally, we give an explicit formula for the n-point wavefunction coefficient as a single determinant reorganising the perturbiner solution, which also satisfies the soft limits.
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BibTeX
@misc{chowdhury2026order,
title = {{All Order Self-Dual Correlators From Symmetries}},
author = {Chandramouli Chowdhury and Silvia Nagy},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.32956},
eprint = {2610.32956},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.32956},
}
RIS
TY - UNPB
TI - All Order Self-Dual Correlators From Symmetries
AU - Chandramouli Chowdhury
AU - Silvia Nagy
PY - 2026
DA - 2026/10/23
PB - arXiv
DO - 10.48550/arxiv.2610.32956
UR - https://arxiv.org/abs/2610.32956
AB - We consider the scalar actions for self-dual Yang-Mills and self-dual gravity. We give a novel resummed version of their infinite tower of symmetries. We show that the Ward identities for symmetries corresponding to the individual levels of the infinite tower give the soft limits for wavefunction coefficients, while their resummed version completely fixes the full wavefunction. Our analysis is valid for general boundary conditions. Finally, we give an explicit formula for the n-point wavefunction coefficient as a single determinant reorganising the perturbiner solution, which also satisfies the soft limits.
ER -