Universality of the topological string at large radius and NS-brane resurgence

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• 作者：Ricardo Couso-Santamaría
• 关键词：Topological string theory ; Mirror symmetry ; Asymptotics ; Resurgence ; Universality ; NS ; brane
• 刊名：Letters in Mathematical Physics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：107
• 期：2
• 页码：343-366
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Theoretical, Mathematical and Computational Physics; Complex Systems; Geometry; Group Theory and Generalizations;
• 出版者：Springer Netherlands
• ISSN：1573-0530
• 卷排序：107

文摘

We show that there is a natural universal limit of the topological string free energies at the large radius point. The new free energies keep a nonholomorphic dependence on the complex structure moduli space and their functional form is the same for all Calabi–Yau geometries, compact and noncompact alike. The asymptotic nature of the free energy expansion changes in this limit due to a milder factorial growth of its coefficients, and this implies a transseries extension with instanton effects in \(\exp (- 1/g_s^2)\), of NS-brane type, rather than \(\exp (-1/g_s)\), of D-brane type. We show a relation between the instanton action of NS-brane type and the volume of the Calabi–Yau manifold which points to a possible interpretation in terms of NS5-branes. A similar rescaling limit has been considered recently leading to an Airy equation for the partition function which is here used to explain the resurgent properties of the rescaled transseries.