Chen, ZhuoSharpe, Eric R.Wu, Ruoxu2019-03-042019-03-042016-08-161029-847993http://hdl.handle.net/10919/88065One of the open problems in understanding (0,2) mirror symmetry concerns the construction of Toda-like Landau-Ginzburg mirrors to (0,2) theories on Fano spaces. In this paper, we begin to fill this gap by making an ansatz for (0,2) Toda-like theories mirror to (0,2) supersymmetric nonlinear sigma models on products of projective spaces, with deformations of the tangent bundle, generalizing a special case previously worked out for P-1 x P-1. We check this ansatz by matching correlation functions of the B/2-twisted Todalike theories to correlation functions of corresponding A/2-twisted nonlinear sigma models, computed primarily using localization techniques. These (0,2) Landau-Ginzburg models admit redundancies, which can lend themselves to multiple distinct-looking representatives of the same physics, which we discuss.application/pdfen-USCreative Commons Attribution 4.0 InternationalTopological Field TheoriesExtended SupersymmetryArticle - Refereedhttps://doi.org/10.1007/JHEP08(2016)0938