  We study two-dimensional non-linear sigma models with (2,2) supersymmetry and
a holomorphic superpotential that are believed to flow to unitary compact (2,2)
superconformal theories with equal left and right central charges c=9. The
SCFTs have a set of marginal deformations, and some of these can be realized as
deformations of parameters of the UV theory, making it possible to apply
techniques such as localization to probe the deformations of the SCFT in terms
of a UV Lagrangian. In this work we describe the UV lifts of the remaining SCFT
infinitesimal deformations, the so-called non-toric and non-polynomial
deformations. Our UV theories naturally arise as geometric phases of gauged
linear sigma models, and it may be possible to extend our results to find lifts
of all SCFT deformations to the gauged linear sigma model.
