PIRSA:26090049 Scientific Series Quantum Fields and Strings

DOI10.48660/26090049

Series: Quantum Fields and Strings

Gauntlett, J. (2026). Localizing the M-theory Path integral. Perimeter Institute. https://pirsa.org/26090049

Gauntlett, Jerome. Localizing the M-theory Path integral. Perimeter Institute, Sep. 29, 2026, https://pirsa.org/26090049 

@misc{ pirsa_PIRSA:26090049,
  doi = {10.48660/26090049},
  url = {https://pirsa.org/26090049},
  author = {Gauntlett, Jerome},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {Localizing the M-theory Path integral},
  publisher = {Perimeter Institute},
  year = {2026},
  month = {sep},
  note = {PIRSA:26090049 see, \url{https://pirsa.org}}
}

Abstract

We discuss a proposal for a localization principle directly in M-theory for a class of M2-brane backgrounds that captures the full perturbative expansion. Relative equivariant localization determines the supersymmetric action from fixed-point data, while a proposed equivariant one-loop complex captures quantum fluctuations. This leads to an M-theory derivation of Airy-function partition functions. We focus on ABJM theory, where the results agree with all available independent field-theory calculations, while extending to generic squashing and mass deformations where no field-theory answer is currently available. We also compute topologically twisted indices associated with rotating, magnetically charged AdS4​black holes, including new one-loop contributions.

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