Abstract
We compute the exact path integral of \( \mathcal{N} = 2 \) supersymmetric gauge theories with general gauge group on ℝℙ4 and a ℤ2-quotient of the hemi-S4. By specializing to SU(2) superconformal quivers, we show that these, together with hemi-S4 partition functions, compute Liouville correlators on unoriented/open Riemann surfaces. We perform explicit checks for Riemann surfaces obtained as ℤ2 quotients of the sphere and the torus. We also discuss the coupled 3d−4d systems associated to Liouville amplitudes with boundary punctures.
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Bawane, A., Benvenuti, S., Bonelli, G. et al. \( \mathcal{N} = 2 \) gauge theories on unoriented/open four-manifolds and their AGT counterparts. J. High Energ. Phys. 2019, 40 (2019). https://doi.org/10.1007/JHEP07(2019)040
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DOI: https://doi.org/10.1007/JHEP07(2019)040