PIRSA:24040077

Video URL

https://pirsa.org/24040077

Constraining CFTs with moduli spaces

Sharon, A. (2024). Constraining CFTs with moduli spaces. Perimeter Institute for Theoretical Physics. https://pirsa.org/24040077

Sharon, Adar. Constraining CFTs with moduli spaces. Perimeter Institute for Theoretical Physics, Apr. 02, 2024, https://pirsa.org/24040077 

          @misc{ scivideos_PIRSA:24040077,
            doi = {10.48660/24040077},
            url = {https://pirsa.org/24040077},
            author = {Sharon, Adar},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Constraining CFTs with moduli spaces},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2024},
            month = {apr},
            note = {PIRSA:24040077 see, \url{https://scivideos.org/index.php/pirsa/24040077}}
          }

Adar Sharon Stony Brook University

Talk numberPIRSA:24040077
DOI10.48660/24040077
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

Moduli spaces of vacua are an intriguing property of certain supersymmetric QFTs which have been widely explored. However, a first-principles approach to moduli spaces and how they constrain observables is still lacking. This question is even more pressing due to recent interest in moduli spaces in theories with only two supercharges, where supersymmetry is extremely weak and does not allow for exact computations. In this talk we attempt to bootstrap conformal field theories with moduli spaces. First we assume an additional global symmetry which is spontaneously broken along the moduli space, and use techniques from the large charge expansion to show that the existence of a moduli space directly constrains CFT data of charged operators. We then study the generic case by using a "moduli space bootstrap equation" to write down perturbative sum rules on observables of CFTs order-by-order in a small coupling. We discuss several examples and applications of our results. 

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