Maxwell Theory of Fractons

Explore a comprehensive lecture on the Maxwell Theory of Fractons presented by Erica Bertolini from the Dublin Institute for Advanced Studies. Delve into the derivation of fracton quasiparticle properties from a generalized covariant Maxwell-like action. Examine the construction of a partially symmetric rank-3 tensor field strength from a rank-2 symmetric tensor field, and its adherence to a Bianchi-like identity. Investigate the most general action invariant under covariant fracton transformation, comprising two independent terms: Linearized Gravity (LG) and fractons. Discover the long-suspected relationship between fractons and gravitons. Analyze how the fracton component can be reduced to a generalized Maxwell theory. Learn how the equations describing fracton limited mobility, including charge and dipole conservation, emerge as consequences of field equations of motion rather than external constraints. Conclude by examining boundary effects related to this fracton model in this 1 hour and 41 minute talk.