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High Energy Physics - Theory

arXiv:2111.03973 (hep-th)
[Submitted on 6 Nov 2021 (v1), last revised 26 Jan 2022 (this version, v2)]

Title:Fractons in curved space

Authors:Akash Jain, Kristan Jensen
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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 $U(1)$ 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.
Comments: 37 pages; v2: Added references, flat space stress tensor of dipole-symmetric scalar theory
Subjects: High Energy Physics - Theory (hep-th); Strongly Correlated Electrons (cond-mat.str-el)
Cite as: arXiv:2111.03973 [hep-th]
  (or arXiv:2111.03973v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.03973
Journal reference: SciPost Phys. 12, 142 (2022)
Related DOI: https://doi.org/10.21468/SciPostPhys.12.4.142

Submission history

From: Kristan Jensen [view email]
[v1] Sat, 6 Nov 2021 22:49:55 UTC (37 KB)
[v2] Wed, 26 Jan 2022 17:27:01 UTC (39 KB)
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