Hessian geometry and the holomorphic anomaly

Cardoso, GL and Mohaupt, T ORCID: 0000-0002-6864-4086 (2016) Hessian geometry and the holomorphic anomaly. JOURNAL OF HIGH ENERGY PHYSICS, 2016 (2). 161-.

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Official URL: http://dx.doi.org/10.1007/jhep02(2016)161

Abstract

We present a geometrical framework which incorporates higher derivative corrections to the action of N = 2 vector multiplets in terms of an enlarged scalar manifold which includes a complex deformation parameter. This enlarged space carries a deformed version of special Kahler geometry which we characterise. The holomorphic anomaly equation arises in this framework from the integrability condition for the existence of a Hesse potential.

Item Type:	Article
Additional Information:	43 pages. Revised version: minimal changes. Final version, accepted for publication by JHEP
Uncontrolled Keywords:	Differential and Algebraic Geometry, Supergravity Models, Topological Strings
Depositing User:	Symplectic Admin
Date Deposited:	22 Aug 2016 10:03
Last Modified:	15 Mar 2024 06:16
DOI:	10.1007/JHEP02(2016)161
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3002998