ASK/PSK-correspondence and the r-map

Cortés, V, Dieterich, P-S and Mohaupt, T ASK/PSK-correspondence and the r-map. Letters in Mathematical Physics: a journal for the rapid dissemination of short contributions in the. ISSN 0377-9017 (Submitted)

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Abstract

We formulate a correspondence between affine and projective special K\"ahler manifolds of the same dimension. As an application, we show that, under this correspondence, the affine special K\"ahler manifolds in the image of the rigid r-map are mapped to one-parameter deformations of projective special K\"ahler manifolds in the image of the supergravity r-map. The above one-parameter deformations are interpreted as perturbative $\alpha'$-corrections in heterotic and type-II string compactifications with $N=2$ supersymmetry. Also affine special K\"ahler manifolds with quadratic prepotential are mapped to one-parameter families of projective special K\"ahler manifolds with quadratic prepotential. We show that the completeness of the deformed supergravity r-map metric depends solely on the (well-understood) completeness of the undeformed metric and the sign of the deformation parameter.

Item Type:	Article
Additional Information:	30 pages
Uncontrolled Keywords:	math.DG, math.DG, hep-th, 53C26 (Primary)
Depositing User:	Symplectic Admin
Date Deposited:	25 Sep 2017 09:13
Last Modified:	19 Jan 2023 06:54
Related URLs:	http://arxiv.org/abs/1702.02400v1
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3009526

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• ASK/PSK-correspondence and the r-map. (deposited 25 Sep 2017 09:13) [Currently Displayed]
  • ASK/PSK-correspondence and the r-map. (deposited 06 Dec 2017 07:44)