The A-model R-matrix conjecture for mirror Gromov–Witten and FJRW theories
The A-model R-matrix conjecture for mirror Gromov–Witten and FJRW theories
Let be a Calabi–Yau variety and let be a pair defining an FJRW theory. Suppose that the Gromov–Witten theory of and the FJRW theory of are two mirror A-models of the same B-model. Let and denote their partition functions, and let be a linear change of variables. A-model R-matrix conjecture. There is an upper-triangular Givental action such that
This is presented as an A-side analogue of the corresponding B-side relation between the two primitive-form phases. The source does not state a resolution.
Sources & referencesView supporting material
Primary source
Alexey Basalaev and Nathan Priddis, “Givental-type reconstruction at a non-semisimple point”, arXiv:1605.07862 (2017).
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