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. https://pirsa.org/23110065
MLA
Levine, Nat. Equivalence of 1-loop RG flows in 4d Chern-Simons and integrable 2d sigma-models. Perimeter Institute, Nov. 14, 2023, https://pirsa.org/23110065
BibTex
@misc{ pirsa_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}, year = {2023}, month = {nov}, note = {PIRSA:23110065 see, \url{https://pirsa.org}} }
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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