PIRSA:25010073 Scientific Series Mathematical physics

DOI10.48660/25010073

Series: Mathematical Physics

Williams, B. (2025). Higher dimensional Segal—Sugawara construction and fivebranes. Perimeter Institute. https://pirsa.org/25010073

Williams, Brian. Higher dimensional Segal—Sugawara construction and fivebranes. Perimeter Institute, Jan. 16, 2025, https://pirsa.org/25010073 

@misc{ pirsa_PIRSA:25010073,
  doi = {10.48660/25010073},
  url = {https://pirsa.org/25010073},
  author = {Williams, Brian},
  keywords = {Mathematical physics},
  language = {en},
  title = {Higher dimensional Segal{\textemdash}Sugawara construction and fivebranes},
  publisher = {Perimeter Institute},
  year = {2025},
  month = {jan},
  note = {PIRSA:25010073 see, \url{https://pirsa.org}}
}

Abstract

The correspondence of AGT sets up, in part, a connection between six-dimensional superconformal theories and 2d CFT. We will give a mathematical construction of 2d CFT from 6d SCFT which involves recent progress in our understanding of the holomorphic twist 6d superconformal symmetry. We then turn to the question of enhancement of familiar structures in 2d CFT to 6d including the well-known Segal—Sugawara construction. Finally, I will set up a Dolbeault enhancement of the AGT correspondence which is expected to probe coherent cohomology of the moduli space of instantons.

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