Journal article
On genus-0 invariants of Calabi-Yau hybrid models
D Erkinger, J Knapp
Journal of High Energy Physics (JHEP) | SpringerOpen | Published : 2023
Open access
Abstract
We compute genus zero correlators of hybrid phases of Calabi-Yau gauged linear sigma models (GLSMs), i.e. of phases that are Landau-Ginzburg orbifolds fibered over some base. These correlators are generalisations of Gromov-Witten and FJRW invariants. Using previous results on the structure of the of the sphere- and hemisphere partition functions of GLSMs when evaluated in different phases, we extract the I-function and the J-function from a GLSM calculation. The J-function is the generating function of the correlators. We use the field theoretic description of hybrid models to identify the states that are inserted in these correlators. We compute the invariants for examples of one- and two-p..
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Awarded by Fiona Wood Foundation
Funding Acknowledgements
We would like to thank Alessandro Chiodo, Ilarion Melnikov, Robert Pryor, Mauricio Romo, Emanuel Scheidegger, Thorsten Schimannek, and Eric Sharpe for helpful discussions and collaboration on related projects. JK thanks MATRIX Institute and Sorbonne Universite for hospitality. We also would like to thank the anonymous referee for helpful comments and for providing an explanation of the selection rule (2.10) that has been added to a revised version of the article. DE was supported by the Austrian Science Fund (FWF): [P30904-N27]. JK is supported by the Australian Research Council Discovery Project DP210101502 and the Australian Research Council Future Fellowship FT210100514.