APA

Neitzke, A. (2010). Wall-crossing and hyperkahler geometry. Perimeter Institute. https://pirsa.org/10050041

MLA

Neitzke, Andrew. Wall-crossing and hyperkahler geometry. Perimeter Institute, May. 09, 2010, https://pirsa.org/10050041

BibTex

@misc{ pirsa_PIRSA:10050041,
  doi = {10.48660/10050041},
  url = {https://pirsa.org/10050041},
  author = {Neitzke, Andrew},
  keywords = {},
  language = {en},
  title = {Wall-crossing and hyperkahler geometry},
  publisher = {Perimeter Institute},
  year = {2010},
  month = {may},
  note = {PIRSA:10050041 see, \url{https://pirsa.org}}
}
            

Abstract

I will give an overview of recent work with Davide Gaiotto and Greg Moore. This work relates the phenomenon of ''wall-crossing'' for BPS states in four-dimensional N=2 theories to a new construction of hyperkahler metrics. These metrics include in particular the metrics on moduli spaces of solutions to Hitchin equations. I will also briefly describe some extensions of this work to incorporate line and surface operators in the N=2 theory (in progress).

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