Fractons and exotic symmetries from branes
Abstract
The emerging study of fractons, a new type of quasiparticle with restricted mobility, has motivated the construction of several classes of interesting continuum quantum field theories with novel properties. One such class consists of foliated field theories which, roughly, are built by coupling together fields supported on the leaves of foliations of spacetime. Another approach, which we refer to as exotic field theory, focuses on constructing Lagrangians consistent with special symmetries (like subsystem symmetries) that are adjacent to fracton physics. A third framework is that of infinitecomponent ChernSimons theories, which attempts to generalize the role of conventional ChernSimons theory in describing (2+1)D Abelian topological order to fractonic order in (3+1)D. The study of these theories is ongoing, and many of their properties remain to be understood. Historically, it has been fruitful to study QFTs by embedding them into string theory. One way this can be done is via Dbranes, extended objects whose dynamics can, at low energies, be described in terms of conventional quantum field theory. QFTs that can be realized in this way can then be analyzed using the rich mathematical and physical structure of string theory. In this paper, we show that foliated field theories, exotic field theories, and infinitecomponent ChernSimons theories can all be realized on the worldvolumes of branes. We hope that these constructions will ultimately yield valuable insights into the physics of these interesting field theories.
 Publication:

arXiv eprints
 Pub Date:
 August 2021
 arXiv:
 arXiv:2108.08322
 Bibcode:
 2021arXiv210808322G
 Keywords:

 High Energy Physics  Theory;
 Condensed Matter  Strongly Correlated Electrons;
 Quantum Physics
 EPrint:
 40 pages. 8 figures. 8 tables. Corrected typos. Modified references and acknowledgements. Adjusted formatting