Equivalence of 1-loop RG flows in 4d Chern-Simons and integrable 2d sigma-models

APA

Levine, N. (2023). Equivalence of 1-loop RG flows in 4d Chern-Simons and integrable 2d sigma-models. Perimeter Institute for Theoretical Physics. https://pirsa.org/23110065

MLA

Levine, Nat. Equivalence of 1-loop RG flows in 4d Chern-Simons and integrable 2d sigma-models. Perimeter Institute for Theoretical Physics, Nov. 14, 2023, https://pirsa.org/23110065

BibTex

          @misc{ scivideos_PIRSA:23110065,
            doi = {10.48660/23110065},
            url = {https://pirsa.org/23110065},
            author = {Levine, Nat},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Equivalence of 1-loop RG flows in 4d Chern-Simons and integrable 2d sigma-models},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2023},
            month = {nov},
            note = {PIRSA:23110065 see, \url{https://scivideos.org/index.php/pirsa/23110065}}
          }
          

Nat Levine École Normale Supérieure - PSL

Source Repository PIRSA

Abstract

Costello, Witten and Yamazaki proposed a 4d Chern-Simons theory as a unified way to engineer integrable models. In the presence of 'Disorder' defects (for non-ultralocal 2d theories), this correspondence has been established only classically. As a first quantum check, I will derive the matching of 1-loop divergences between the 4d and 2d theories. My assumptions are general and seem to isolate sigma-models among the 2d theories. (Based on 2309.16753)

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