PIRSA:25050009

Topological Feynman integrals and the odd graph complex

(2025). Topological Feynman integrals and the odd graph complex. Perimeter Institute. https://pirsa.org/25050009

Topological Feynman integrals and the odd graph complex. Perimeter Institute, May. 01, 2025, https://pirsa.org/25050009 

          @misc{ pirsa_PIRSA:25050009,
            doi = {10.48660/25050009},
            url = {https://pirsa.org/25050009},
            author = {},
            keywords = {Mathematical physics},
            language = {en},
            title = {Topological Feynman integrals and the odd graph complex},
            publisher = {Perimeter Institute},
            year = {2025},
            month = {may},
            note = {PIRSA:25050009 see, \url{https://pirsa.org}}
          }
Paul-Hermann Balduf
Talk numberPIRSA:25050009
DOI10.48660/25050009
Collection
Talk Type Scientific Series
Subject

Abstract

Recent work by Davide Gaiotto and collaborators introduced a new type of parametric Feynman integrals to compute BRST anomalies in topological and holomorphic quantum field theories. The integrand of these integrals is a certain differential form in Schwinger parameters. In a new article together with Simone Hu, we showed that this "topological" differential form coincides with a "Pfaffian" differential form that had been used by Brown, Panzer, and Hu, to compute cohomology of the odd graph complex and of the linear group. In my talk, I will review some aspects of the graph complex and the role played by the Pfaffian form there, sketch the proof of equivalence, and comment on various observations on either side of the equivalence and their natural counterparts on the other side.