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Stringy instanton counting and topological strings
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DOI：10.1007/JHEP07(2015)097.png)
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Abstract
En 中文
We study the stringy instanton partition function of four dimensional N = 2 U(N) supersymmetric gauge theory which was obtained by Bonelli et al. in 2013. In type IIB string theory on C-2 x T*P-1 x C, the stringy U(N) instantons of charge k are described by k D1-branes wrapping around the P-1 bound to N D5-branes on C-2 x P-1. The KK corrections induced by compactification of the P-1 give the stringy corrections. We find a relation between the stringy instanton partition function whose quantum stringy corrections have been removed and the K-theoretic instanton partition function, or by geometric engineering, the refined topological A-model partition function on a local toric Calabi-Yau threefold. We also study the quantum stringy corrections in the stringy instanton partition function which is not captured by the refined topological strings.
Keywords:
Topological Strings
Supersymmetric gauge theory
Topological Field Theories
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