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arXiv · 2008.03089

Sphere partition function of Calabi-Yau GLSMs

David Erkinger·Johanna Knapp
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Abstract

The sphere partition function of Calabi-Yau gauged linear sigma models (GLSMs) has been shown to compute the exact Kaehler potential of the Kaehler moduli space of a Calabi-Yau. We propose a universal expression for the sphere partition function evaluated in hybrid phases of Calabi-Yau GLSMs that are fibrations of Landau-Ginzburg orbifolds over some base manifold. Special cases include Calabi-Yau complete intersections in toric ambient spaces and Landau-Ginzburg orbifolds. The key ingredients that enter the expression are Givental's I/J-functions, the Gamma class and further data associated to the hybrid model. We test the proposal for one- and two-parameter abelian GLSMs, making connections, where possible, to known results from mirror symmetry and FJRW theory.

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David Erkinger, Johanna Knapp. 2022-04-12. Sphere partition function of Calabi-Yau GLSMs. https://arxiv.org/abs/2008.03089

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