SL (2, C) group action on cohomological field theories
We introduce the SL(2,C) group action on a partition function of a cohomological field theory via a 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...
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| Main Author: | |
|---|---|
| Format: | Article (Journal) |
| Language: | English |
| Published: |
2018
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| In: |
Letters in mathematical physics
Year: 2017, Volume: 108, Issue: 1, Pages: 161-183 |
| ISSN: | 1573-0530 |
| DOI: | 10.1007/s11005-017-0995-2 |
| Online Access: | Verlag, Volltext: https://doi.org/10.1007/s11005-017-0995-2
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| Author Notes: | Alexey Basalaev |
MARC
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| 520 | |a We introduce the SL(2,C) group action on a partition function of a cohomological field theory via a 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. Milanov and Ruan in Gromov–Witten theory of elliptic orbifold P1 and quasi-modular forms, arXiv:1106.2321, 2011). | ||
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