Twisted Correlators from Harmonic Superspace

Dennis le Plat; Torben Skrzypek

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arXiv · 2610.28722

Twisted Correlators from Harmonic Superspace

Dennis le Plat·Torben Skrzypek

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Abstract

We establish a harmonic superspace formulation for $\mathcal N=2$ orbifolds of $\mathcal N=4$ super-Yang-Mills (SYM) theory. We account for the orbifold projection by introducing topological defect lines to the planar supergraphs of $\mathcal N=4$ 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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Dennis le Plat, Torben Skrzypek. 2026-10-20. Twisted Correlators from Harmonic Superspace. https://arxiv.org/abs/2610.28722

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