BCOV on the Large Hilbert Space
High Energy Physics - Theory
2026-02-05 v2 Mathematical Physics
math.MP
Abstract
We formulate the BCOV theory of deformations of complex structures as a pull-back to the super moduli space of the worldline of a spinning particle. In this approach the appearance of a non-local kinetic term in the target space action has the same origin as the mismatch of pictures in the Ramond sector of super string field theory and is resolved by the same type of auxiliary fields in shifted pictures. The BV-extension is manifest in this description. A compensator for the holomorphic 3-form can be included by resorting to a description in the large Hilbert space.
Cite
@article{arxiv.2506.02983,
title = {BCOV on the Large Hilbert Space},
author = {Eugenia Boffo and Ondřej Hulík and Ivo Sachs},
journal= {arXiv preprint arXiv:2506.02983},
year = {2026}
}
Comments
21 pages, version 2: exposition improved, several points clarified