Duality and mock modularity

We derive a holomorphic anomaly equation for the Vafa-Witten partition function for twisted four-dimensional $\mathcal{N} =4$ super Yang-Mills theory on $\mathbb{CP}^{2}$ for the gauge group $SO(3)$ from the path integral of the effective theory on the Coulomb branch. The holomorphic kernel of th...

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Bibliographic Details
Main Author: Atish Dabholkar, Pavel Putrov, Edward Witten
Format: Article
Language:English
Published: SciPost 2020-11-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.9.5.072