Mellin–Barnes Representation of the Topological String

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• 作者：Daniel Krefl
• 关键词：Mathematics Subject Classification81T30 ; 81T45
• 刊名：Letters in Mathematical Physics
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：106
• 期：11
• 页码：1561-1574
• 全文大小：447 KB
• 刊物类别：Physics and Astronomy
• 刊物主题：Physics
  Mathematical and Computational Physics
  Statistical Physics
  Geometry
  Group Theory and Generalizations
  
• 出版者：Springer Netherlands
• ISSN：1573-0530
• 卷排序：106

文摘

We invoke integrals of Mellin–Barnes type to analytically continue the Gopakumar–Vafa resummation of the topological string free energy in the string coupling constant, leading to additional non-perturbative terms. We also discuss in a similar manner the refined and Nekrasov–Shatashvili limit version thereof. The derivation is straight-forward and essentially boils down to taking residue. This allows us to confirm some related conjectures in the literature at tree-level.