The Rigid Limit in Special Kahler Geometry: From K3-Fibrations to Special Riemann Surfaces: A Detailed Case Study
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The Rigid Limit in Special Kahler Geometry: From K3-Fibrations to Special Riemann Surfaces: A Detailed Case Study
| Title: | The Rigid Limit in Special Kahler Geometry: From K3-Fibrations to Special Riemann Surfaces: A Detailed Case Study |
| Author: |
Denef, Frederik; Zanon, Daniela; Billo, Marco; Fre, Pietro; Pesando, Igor; Troost, Walter; Van Proeyen, Antoine
Note: Order does not necessarily reflect citation order of authors. |
| Citation: | Billo, Marco, Frederik Denef, Pietro Fre, Igor Pesando, Walter Troost, Antoine Van Proeyen, and Daniela Zanon. 1998. The rigid limit in Special Kahler geometry: From K3-fibrations to Special Riemann surfaces: A detailed case study. Classical and Quantum Gravity 15(8): 2083-2152. |
| Full Text & Related Files: |
Denef_RigidLimit.pdf (827.0Kb; PDF) 
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| Abstract: | The limiting procedure of special Kähler manifolds to their rigid limit is studied for moduli spaces of Calabi-Yau manifolds in the neighbourhood of certain singularities. In two examples we consider all the periods in and around the rigid limit, identifying the non-trivial ones in the limit as periods of a meromorphic form on the relevant Riemann surfaces. We show how the Kähler potential of the special Kähler manifold reduces to that of a rigid special Kähler manifold. We make extensive use of the structure of these Calabi-Yau manifolds as K3 fibrations, which is useful to obtain the periods even before the K3 degenerates to an ALE manifold in the limit. We study various methods to calculate the periods and their properties. The development of these methods is an important step to obtaining exact results from supergravity on Calabi-Yau manifolds. |
| Published Version: | http://dx.doi.org/10.1088/0264-9381/15/8/003 |
| Other Sources: | http://arxiv.org/PS_cache/hep-th/pdf/9803/9803228v2.pdf |
| Terms of Use: | This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA |
| Citable link to this page: | http://nrs.harvard.edu/urn-3:HUL.InstRepos:2770489 |
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Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
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