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

• Verfasst von: Basalaev, Alexey [VerfasserIn]
• Titel: SL (2, C) group action on cohomological field theories
• Verf.angabe: Alexey Basalaev
• Jahr: 2018
• Jahr des Originals: 2017
• Umfang: 23 S.
• Fussnoten: Published: 09 September 2017 ; Gesehen am 05.03.2020
• Titel Quelle: Enthalten in: Letters in mathematical physics
• Ort Quelle: Dordrecht [u.a.] : Springer Science + Business Media B.V, 1975
• Jahr Quelle: 2018
• Band/Heft Quelle: 108(2018), 1, Seite 161-183
• ISSN Quelle: 1573-0530
• DOI: doi:10.1007/s11005-017-0995-2
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1691742104

Abstract

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).