Supersymmetric twists in twistor space and holography

Abstract

A bstract : We compute some supersymmetric twists of field theories in twistor space, including the minimal supersymmetric and the chiral algebra twists of supersymmetric self-dual Yang-Mills, and the minimal twist of 𝒩 N = 1 self-dual supergravity. In the case of 𝒩 N = 4 we also find their holographic duals in the framework of chiral holography. We find that the minimal twist of gauge theories in twistor space is a topological-holomorphic theory and show that they are perturbatively and BRST equivalent to known holomorphic theories on spacetime at the classical level. We show that this is a consequence of the holomorphic degrees of freedom being effectively localized to a point on the twistor sphere making the choice of complex structure on spacetime manifest. For superconformal theories, the twist further localizes the holomorphic degrees of freedom to a plane contained on spacetime, reproducing the chiral algebra twist of 𝒩 N = 4 sYM. We show that the bulk duals of these twists also give lower dimensional holomorphic theories, reproducing results from twisted holography.

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BibTeX RIS

BibTeX

@article{balisa2026supersymmetric,
  title = {{Supersymmetric twists in twistor space and holography}},
  author = {Matheus Balisa and Eduardo Casali},
  journal = {Journal of High Energy Physics},
  year = {2026},
  month = oct,
  doi = {10.1007/jhep10(2026)231},
  url = {https://link.springer.com/article/10.1007/JHEP10(2026)231},
  note = {CC BY 4.0},
}

RIS

TY  - JOUR
TI  - Supersymmetric twists in twistor space and holography
AU  - Matheus Balisa
AU  - Eduardo Casali
PY  - 2026
DA  - 2026/10/22
JO  - Journal of High Energy Physics
DO  - 10.1007/jhep10(2026)231
UR  - https://link.springer.com/article/10.1007/JHEP10(2026)231
AB  - A bstract : We compute some supersymmetric twists of field theories in twistor space, including the minimal supersymmetric and the chiral algebra twists of supersymmetric self-dual Yang-Mills, and the minimal twist of 𝒩 N = 1 self-dual supergravity. In the case of 𝒩 N = 4 we also find their holographic duals in the framework of chiral holography. We find that the minimal twist of gauge theories in twistor space is a topological-holomorphic theory and show that they are perturbatively and BRST equivalent to known holomorphic theories on spacetime at the classical level. We show that this is a consequence of the holomorphic degrees of freedom being effectively localized to a point on the twistor sphere making the choice of complex structure on spacetime manifest. For superconformal theories, the twist further localizes the holomorphic degrees of freedom to a plane contained on spacetime, reproducing the chiral algebra twist of 𝒩 N = 4 sYM. We show that the bulk duals of these twists also give lower dimensional holomorphic theories, reproducing results from twisted holography.
SN  - 1029-8479
ER  -

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