Vafa–Witten Theory and Iterated Integrals of Modular Forms

@article{Manschot2017VafaWittenTA,
  title={Vafa–Witten Theory and Iterated Integrals of Modular Forms},
  author={Jan Manschot},
  journal={Communications in Mathematical Physics},
  year={2017},
  pages={1-45}
}
  • Jan Manschot
  • Published 2017
  • Physics, Mathematics
  • Communications in Mathematical Physics
  • Vafa–Witten (VW) theory is a topologically twisted version of $${\mathcal{N}=4}$$N=4 supersymmetric Yang–Mills theory. S-duality suggests that the partition function of VW theory with gauge group SU(N) transforms as a modular form under duality transformations. Interestingly, Vafa and Witten demonstrated the presence of a modular anomaly, when the theory has gauge group SU(2) and is considered on the complex projective plane $${\mathbb{P}^2}$$P2. This modular anomaly could be expressed as an… CONTINUE READING

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