Gravity as a gapless phase and biform symmetries

A bstract We study effective field theories (EFTs) enjoying (maximal) biform symmetries. These are defined by the presence of a conserved (electric) current that has symmetries Young tableau with two columns equal length. When these also have topological (magnetic) current, its conservation law is anomalous. go on to show this mixed anomaly uniquely fixes two-point function between electric and magnetic currents. then perform Källén-Lehmann spectral decomposition current-current correlator, proving there massless mode in spectrum, whose masslessness protected anomaly. Furthermore, gives rise universal form EFT most relevant term — which resembles linear Einstein action dominates infrared physics. As applications general formalism, we Galileon superfluid linearized gravity. Thus, one can view graviton as being anomalous The associated provides an organizing principle for gravity at low energies terms physical symmetries, allows interactions consistent diffeomorphism invariance. not ultraviolet-complete be viewed emergent nor do they include nonlinearities necessary make them fully invariant, so no contradiction expectation quantum cannot any global