Dirichlet, Neumann, Mixed and self-dual holography: (self-dual) Yang-Mills theory
Abstract
Motivated by applications of self-dual theories to the AdS/CFT correspondence, we study self-dual Yang-Mills theory (SDYM) and its relation to Yang-Mills theory and to Chalmers-Siegel theory with Dirichlet, Neumann, and mixed boundary conditions. A Fefferman-Graham analysis of SDYM is performed to identify its boundary CFT data. We make a proposal for self-dual holography that defines ``self-dual CFTs''. The bulk-to-bulk and boundary-to-bulk propagators for SDYM and for Yang-Mills/Chalmers-Siegel theory with mixed boundary conditions are derived in Feynman and axial gauges. Three- and four-point functions are computed in the spinor-helicity formalism, and the relations among the results in the various theories are clarified. The flat limit and the gauge-(in)dependence of the results are analyzed.
Cite
@article{arxiv.2602.21658,
title = {Dirichlet, Neumann, Mixed and self-dual holography: (self-dual) Yang-Mills theory},
author = {Evgeny Skvortsov and Richard Van Dongen},
journal= {arXiv preprint arXiv:2602.21658},
year = {2026}
}
Comments
34+10 pages, many diagrams; V2 more details on the collinear limit