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arXiv · 1405.6607

SL(2,C) group action on Cohomological field theories

Alexey Basalaev
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Abstract

We introduce the $\mathrm{SL}(2,\mathbb{C})$ group action on a partition function of a Cohomological field theory via the certain Givental's action. Restricted to the small phase space we describe the action via the explicit formulae on a CohFT genus $g$ potential. We prove that applied to the total ancestor potential of a simple elliptic singularity the action introduced coincides with the transformation of Milanov--Ruan changing the primitive form (cf. arXiv:1106.2321).

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Alexey Basalaev. 2017-09-11. SL(2,C) group action on Cohomological field theories. https://doi.org/10.1007/s11005-017-0995-2

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