Regular Article - Theoretical Physics
Localizing non-linear sigma model on
MIPT, 141701, Dolgoprudny, Russia
2 NRC “Kurchatov Institute”, 117218, Moscow, Russia
3 Lebedev Physics Institute, 119991, Moscow, Russia
4 ITMP, MSU, 119991, Moscow, Russia
5 IITP, 127994, Moscow, Russia
6 Department of Physics and Astronomy, Uppsala University, Box 516, 75120, Uppsala, Sweden
Accepted: 17 July 2022
Published online: 30 August 2022
We present a systematic study of supersymmetric non-linear sigma models on with the target being a Kähler manifold. We discuss their reformulation in terms of cohomological field theory. In the cohomological formulation we use a novel version of 2D self-duality which involves a U(1) action on . In addition to the generic model we discuss the theory with target space equivariance corresponding to a supersymmetric sigma model coupled to a non-dynamical supersymmetric background gauge multiplet. We discuss the localization locus and perform a one-loop calculation around the constant maps. We argue that the theory can be reduced to some exotic model over the moduli space of holomorphic disks.
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