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Twisted Correlators from Harmonic Superspace

  • Dennis le Plat
  • Torben Skrzypek
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Abstract

We establish a harmonic superspace formulation for 𝒩=2 orbifolds of 𝒩=4 super-Yang-Mills (SYM) theory. We account for the orbifold projection by introducing topological defect lines to the planar supergraphs of 𝒩=4 SYM. These twist lines are sourced by twisted sector operators, transparent to vector multiplets but generate orbifold phases when crossed by bifundamental hypermultiplet fields. This formalism establishes a refinement of the orbifold inheritance principle at supergraph level. As a direct application, we compute leading twist-dependent corrections to BPS two- and three-point functions, finding agreement with localisation results in extremal cases and generating new data for non-extremal correlators. We further map these corrections to finite-size effects in the twisted hexagon formalism. This opens a path towards an all-order integrability prescription of orbifold structure constants.

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Cite

BibTeXRIS
BibTeX
@misc{plat2026twisted,
  title = {{Twisted Correlators from Harmonic Superspace}},
  author = {Dennis le Plat and Torben Skrzypek},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28722},
  eprint = {2610.28722},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28722},
}
RIS
TY  - UNPB
TI  - Twisted Correlators from Harmonic Superspace
AU  - Dennis le Plat
AU  - Torben Skrzypek
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.28722
UR  - https://arxiv.org/abs/2610.28722
AB  - We establish a harmonic superspace formulation for 𝒩=2 orbifolds of 𝒩=4 super-Yang-Mills (SYM) theory. We account for the orbifold projection by introducing topological defect lines to the planar supergraphs of 𝒩=4 SYM. These twist lines are sourced by twisted sector operators, transparent to vector multiplets but generate orbifold phases when crossed by bifundamental hypermultiplet fields. This formalism establishes a refinement of the orbifold inheritance principle at supergraph level. As a direct application, we compute leading twist-dependent corrections to BPS two- and three-point functions, finding agreement with localisation results in extremal cases and generating new data for non-extremal correlators. We further map these corrections to finite-size effects in the twisted hexagon formalism. This opens a path towards an all-order integrability prescription of orbifold structure constants.
ER  -