PreprintCC BY 4.0arXiv
Mass Deformations and Sheets in Logahoric Higgs Moduli
Abstract
We use the framework of the logahoric Hitchin integrable system introduced in our earlier work and the sheets of the Lie algebra in order to describe the tame defects in a six dimensional 𝒩=(2,0) superconformal theory under mass deformations. We show that varying leaves of fixed dimension in the Hitchin system amounts to varying residue orbits of fixed dimension. Moreover, we verify the period and dimension conditions in mass-like deformations, as proposed by Balasubramanian--Distler, thus realizing the sheets of the Lie algebra on the Poisson moduli space of logahoric Higgs torsors.
Related
- Continuation and reduction of steady vortex sheets under metric deformations on a disk
- Moduli Spaces of Homologically Trivial Parabolic (Higgs) Bundles on the Projective Line and an Application to the Deligne-Simpson Problem
- An analytic construction of the universal moduli space of SLr(ℂ)-Higgs bundles
- Asymptotics of the Moduli Spaces of Parabolic SL(3,ℂ)-Higgs Bundles
- Stratification of Joint Moduli Spaces of Higgs Bundles
BibTeX
@misc{kydonakis2026mass,
title = {{Mass Deformations and Sheets in Logahoric Higgs Moduli}},
author = {Georgios Kydonakis and Lutian Zhao},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.27934},
eprint = {2610.27934},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.27934},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Mass Deformations and Sheets in Logahoric Higgs Moduli
AU - Georgios Kydonakis
AU - Lutian Zhao
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.27934
UR - https://arxiv.org/abs/2610.27934
AB - We use the framework of the logahoric Hitchin integrable system introduced in our earlier work and the sheets of the Lie algebra in order to describe the tame defects in a six dimensional 𝒩=(2,0) superconformal theory under mass deformations. We show that varying leaves of fixed dimension in the Hitchin system amounts to varying residue orbits of fixed dimension. Moreover, we verify the period and dimension conditions in mass-like deformations, as proposed by Balasubramanian--Distler, thus realizing the sheets of the Lie algebra on the Poisson moduli space of logahoric Higgs torsors.
ER -