Abstract
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 central charges cL = cR = 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.
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Acknowledgments
IVM’s work is supported in part by the Humboldt Research Award as well as the Edu- cational Leave program at James Madison University. Our work on this project was also supported by the NSF Grant PHY-1914505. We thank P. Aspinwall and R. Plesser for use- ful discussions. IVM acknowledges an ancient collaboration with B. Wurm that attempted to tackle some closely related questions.
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Adams, G., Melnikov, I.V. Marginal deformations of Calabi-Yau hypersurface hybrids with (2,2) supersymmetry. J. High Energ. Phys. 2023, 186 (2023). https://doi.org/10.1007/JHEP10(2023)186
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DOI: https://doi.org/10.1007/JHEP10(2023)186