Asymptotic symmetries and soft charges of fractons

Abstract

The asymptotic structure of gauge theories describing fracton interactions is analyzed. Two sets of asymptotic conditions are proposed. Both encompass all known solutions, lead to finite charges and resolve the problem of the divergent energy coming from the monopole contribution. While the first set leads to the expected fracton symmetry algebra, including a dipole charge, the second set provides a soft infinite-dimensional extension of it. These soft charges provide evidence of a rich infrared structure for fracton-like theories and provide one corner of a possible fracton infrared triangle.

8 pages, v2: Various minor updates, matches published version

References in corpus (8)

• Local stabilizer codes in three dimensions without string logical operators
• Lectures on Celestial Amplitudes
• Fractons, dipole symmetries and curved spacetime
• Gapless Bosonic Excitation without symmetry breaking: Novel Algebraic Spin liquid with soft Gravitons
• Global Dipole Symmetry, Compact Lifshitz Theory, Tensor Gauge Theory, and Fractons
• $(k,n)$-fractonic Maxwell theory
• World-Line Description of Fractons
• Fractons in effective field theories for spontaneously broken translations

Cited by in corpus (6)

• Carroll/fracton particles and their correspondence
• Carrollian Yang-Mills Theory
• Fractons, non-Riemannian Geometry, and Double Field Theory
• Scalar, fermionic and supersymmetric field theories with subsystem symmetries in d+1 dimensions
• Fractonic self-duality and covariant magnetic fractons
• Planons and their Carroll-Galilei symmetries