Homotopy RG Flow and the Non-Linear σ-model

Ryan Grady, Brian R Williams

Research output: Chapter in Book/Report/Conference proceedingChapter


The purpose of this note is two give a mathematical treatment to the low energy effective theory of the two-dimensional sigma model. Perhaps surprisingly, our low energy effective theory encodes much of the topology and geometry of the target manifold. In particular, we relate the β-function of our theory to the Ricci curvature of the target, recovering the physical result of Friedan.
Original languageEnglish
Title of host publicationTopology and quantum theory in interaction
PublisherAmerican Mathematical Society
Number of pages22
ISBN (Electronic)978-1-4704-4941-4
ISBN (Print)978-1-4704-4243-9
Publication statusPublished - 2018


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