We compute the exact path integral of N = 2 supersymmetric gauge theories with general gauge group on RP4 and a Z(2)-quotient of the hemi-S-4. By specializing to SU(2) superconformal quivers, we show that these, together with hemi-S-4 partition functions, compute Liouville correlators on unoriented/open Riemann surfaces. We perform explicit checks for Riemann surfaces obtained as Z(2) quotients of the sphere and the torus. We also discuss the coupled 3d-4d systems associated to Liouville amplitudes with boundary punctures.
N=2 gauge theories on unoriented/open four-manifolds and their AGT counterparts / Bawane, A.; Benvenuti, S.; Bonelli, G.; Muteeb, N.; Tanzini, A.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2019:7(2019), pp. 1-54. [10.1007/JHEP07(2019)040]
N=2 gauge theories on unoriented/open four-manifolds and their AGT counterparts
Bawane A.;Benvenuti S.;Bonelli G.;Tanzini A.
2019-01-01
Abstract
We compute the exact path integral of N = 2 supersymmetric gauge theories with general gauge group on RP4 and a Z(2)-quotient of the hemi-S-4. By specializing to SU(2) superconformal quivers, we show that these, together with hemi-S-4 partition functions, compute Liouville correlators on unoriented/open Riemann surfaces. We perform explicit checks for Riemann surfaces obtained as Z(2) quotients of the sphere and the torus. We also discuss the coupled 3d-4d systems associated to Liouville amplitudes with boundary punctures.| File | Dimensione | Formato | |
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Bawane2019_Article_N2MathcalN2GaugeTheoriesOnUnor.pdf
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