We consistently couple simple continuum field theories with fracton excitations to curved spacetime backgrounds. We consider homogeneous and isotropic fracton field theories, with a conserved $U(1)$ charge and dipole moment. Coupling to background fields allows us to consistently define a stress-energy tensor for these theories and obtain the respective Ward identities. Along the way, we find evidence for a mixed gauge-gravitational anomaly in the symmetric tensor gauge theory which naturally couples to conserved dipoles. Our results generalise to systems with arbitrarily higher conserved moments, in particular, a conserved quadrupole moment.
Cited by 4
Pérez et al., Asymptotic symmetries and soft charges of fractons
Phys. Rev. D 106, 044017 (2022) [Crossref]
Angus et al., Fractons, non-Riemannian geometry, and double field theory
Phys. Rev. Research 4, 033186 (2022) [Crossref]
Bidussi et al., Fractons, dipole symmetries and curved spacetime
SciPost Phys. 12, 205 (2022) [Crossref]
Lake et al., Dipolar Bose-Hubbard model
Phys. Rev. B 106, 064511 (2022) [Crossref]
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 Institute of Physics, University of Amsterdam [IoP, UvA]
- 2 Dutch Institute for Emergent Phenomena [DIEP]
- 3 University of Victoria