From Zwiebach invariants to Getzler relation

Abstract

We introduce the notion of Zwiebach invariants that generalize Gromov-Witten invariants and homotopical algebra structures. We outline the induction procedure that induces the structure of Zwiebach on the subbicomplex, that gives the structure of Gromov-Witten invariants on subbicomplex with zero diffferentials. We propose to treat Hodge dGBV with 1/12 axiom as the simplest set of Zwiebach invariants, and explicitely prove that it induces WDVV and Getzler equations in genera 0 and 1 respectively.

35 pages

References in corpus (2)

• Introduction to string field theory
• Towards Integrability of Topological Strings I: Three-forms on Calabi-Yau manifolds

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