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.
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