Abstract
We study the large-charge sector of large-N fermionic cfts in three dimensions. Depending on the model and the nature of the fixed charge, we find two types of descriptions: in terms of a superfluid or a Fermi sphere. We explicitly compute the conformal dimensions of the lowest operator of fixed charge and in the superfluid case verify the eft predictions for the phonon spectrum.
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Acknowledgments
We would like to thank Luis Álvarez-Gaumé, Oleg Antipin, John Gracey, Gerald Dunne and Giacomo Sberveglieri for illuminating discussions and Jahmall Bersini for a careful reading of the manuscript. The work of S.H. is supported by the World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan; by the JSPS Program for Advancing Strategic International Networks to Accelerate the Circulation of Talented Researchers; and also supported in part by JSPJ KAKENHI Grant Numbers JP22740153, JP26400242. The work of N.D., R.M. and S.R. is supported by the Swiss National Science Foundation under grant number 200021_192137. S.H. would like to thank the University of Bern and the SwissMAP research station for hospitality. S.H., D.O, and S.R. gratefully acknowledge support from the Simons Center for Geometry and Physics, Stony Brook University at which some of the research for this paper was performed.
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Dondi, N., Hellerman, S., Kalogerakis, I. et al. Fermionic CFTs at large charge and large N. J. High Energ. Phys. 2023, 180 (2023). https://doi.org/10.1007/JHEP08(2023)180
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DOI: https://doi.org/10.1007/JHEP08(2023)180