Contents Online
Mathematical Research Letters
Volume 17 (2010)
Number 3
The Ooguri-Vafa metric, holomorphic discs and wall-crossing
Pages: 401 – 414
DOI: https://dx.doi.org/10.4310/MRL.2010.v17.n3.a3
Author
Abstract
Recently, Gaiotto, Moore and Neitzke \cite{GMN08} proposed a new construction of hyperkähler metrics. In particular, they gave a new construction of the Ooguri-Vafa metric, in which they came across certain formulas. We interpret those formulas as wall-crossing formulas that appear in the SYZ construction of instanton-corrected mirror manifolds. This reveals the close relation between the Ooguri-Vafa metric and nontrivial holomorphic discs with boundary in special Lagrangian torus fibers.
Published 1 January 2010