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https://hdl.handle.net/2440/127254
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Type: | Journal article |
Title: | Special Kähler geometry of the Hitchin system and topological recursion |
Author: | Baraglia, D. Huang, Z. |
Citation: | Advances in Theoretical and Mathematical Physics, 2019; 23(8):1981-2024 |
Publisher: | International Press of Boston Inc. |
Issue Date: | 2019 |
ISSN: | 1095-0761 1095-0753 |
Statement of Responsibility: | David Baraglia and Zhenxi Huang |
Abstract: | We investigate the special Kähler geometry of the base of the Hitchin integrable system in terms of spectral curves and topological recursion. The Taylor expansion of the special Kähler metric about any point in the base may be computed by integrating the g=0 Eynard–Orantin invariants of the corresponding spectral curve over cycles. In particular, we show that the Donagi–Markman cubic is computed by the invariant W(0)(3). We use topological recursion to go one step beyond this and compute the symmetric quartic of second derivatives of the period matrix. |
Rights: | Copyright Status Unknown |
DOI: | 10.4310/ATMP.2019.V23.N8.A2 |
Grant ID: | http://purl.org/au-research/grants/arc/DE160100024 |
Published version: | http://dx.doi.org/10.4310/atmp.2019.v23.n8.a2 |
Appears in Collections: | Aurora harvest 8 Mathematical Sciences publications |
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