Araujo, Thiago; Celikbas, Omar; Orlando, Domenico; Reffert, Susanne (2022). 2D CFTs: Large charge is not enough to control the dynamics. Physical review. D - particles, fields, gravitation, and cosmology, 105(8) American Physical Society 10.1103/PhysRevD.105.086029
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In this note we study two-dimensional conformal field theories at large global charge. Since the large-charge sector decouples from the dynamics, it does not control the dynamics and an effective field theory construction that works in higher-dimensional theories fails. It is however possible to use large charge in a double-scaling limit when another controlling parameter is present. We find some general features of the spectrum of models that admit a nonlinear sigma model description in a Wentzel-Kramers-Brillouin approximation and use the large-charge sector of the solvable S U ( 2 ) k Wess-Zumino-Witten model to argue the regimes of applicability of both the large-Q expansion and the double-scaling limit.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Institute of Theoretical Physics 10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC) |
UniBE Contributor: |
Rocha Araujo, Thiago, Orlando, Domenico, Reffert, Susanne |
Subjects: |
500 Science > 530 Physics |
ISSN: |
1550-7998 |
Publisher: |
American Physical Society |
Language: |
English |
Submitter: |
Binia Marti |
Date Deposited: |
17 Mar 2023 10:26 |
Last Modified: |
17 Mar 2023 23:27 |
Publisher DOI: |
10.1103/PhysRevD.105.086029 |
BORIS DOI: |
10.48350/180233 |
URI: |
https://boris.unibe.ch/id/eprint/180233 |