Dirichlet, Neumann, Mixed and self-dual holography: (self-dual) Yang-Mills theory
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| Format: | Preprint |
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2026
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| _version_ | 1866918385932042240 |
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| author | Skvortsov, Evgeny Van Dongen, Richard |
| author_facet | Skvortsov, Evgeny Van Dongen, Richard |
| contents | 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 $3d$ ``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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2602_21658 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dirichlet, Neumann, Mixed and self-dual holography: (self-dual) Yang-Mills theory Skvortsov, Evgeny Van Dongen, Richard High Energy Physics - Theory 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 $3d$ ``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. |
| title | Dirichlet, Neumann, Mixed and self-dual holography: (self-dual) Yang-Mills theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2602.21658 |