PIRSA:26090049

Localizing the M-theory Path integral

APA

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

MLA

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

BibTex

          @misc{ scivideos_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 for Theoretical Physics},
            year = {2026},
            month = {sep},
            note = {PIRSA:26090049 see, \url{https://scivideos.org/pirsa/26090049}}
          }
          

Jerome Gauntlett Imperial College London

Talk numberPIRSA:26090049
Source RepositoryPIRSA

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.