Fractons in curved space
arXiv:2111.03973 · doi:10.21468/SciPostPhys.12.4.142
Abstract
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 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.
arXiv comment37 pages; v2: Added references, flat space stress tensor of dipole-symmetric scalar theory
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