New Field Theories with Foliation Structure and Subdimensional Particles from Godbillon-Vey Invariant
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866910561450590208 |
|---|---|
| author | Ebisu, Hiromi Honda, Masazumi Nakanishi, Taiichi Shimamori, Soichiro |
| author_facet | Ebisu, Hiromi Honda, Masazumi Nakanishi, Taiichi Shimamori, Soichiro |
| contents | Recently, subdimensional particles including fractons have attracted much attention from various areas. Notable features of such matter phases are mobility constraints and subextensive ground state degeneracies (GSDs). In this paper, we propose a BF-like theory motivated by the Godbillon-Vey invariant, which is a mathematical invariant of the foliated manifold. Our theory hosts subsystem higher form symmetries which manifestly ensure the mobility constraint and subextensive GSD through the spontaneous symmetry breaking. We also discuss some lattice spin models which realize the same low energy behaviours as the BF-like theory. Furthermore, we explore dynamical matter theories which are coupled to the BF-like theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_05048 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | New Field Theories with Foliation Structure and Subdimensional Particles from Godbillon-Vey Invariant Ebisu, Hiromi Honda, Masazumi Nakanishi, Taiichi Shimamori, Soichiro High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Lattice Mathematical Physics Quantum Physics Recently, subdimensional particles including fractons have attracted much attention from various areas. Notable features of such matter phases are mobility constraints and subextensive ground state degeneracies (GSDs). In this paper, we propose a BF-like theory motivated by the Godbillon-Vey invariant, which is a mathematical invariant of the foliated manifold. Our theory hosts subsystem higher form symmetries which manifestly ensure the mobility constraint and subextensive GSD through the spontaneous symmetry breaking. We also discuss some lattice spin models which realize the same low energy behaviours as the BF-like theory. Furthermore, we explore dynamical matter theories which are coupled to the BF-like theory. |
| title | New Field Theories with Foliation Structure and Subdimensional Particles from Godbillon-Vey Invariant |
| topic | High Energy Physics - Theory Strongly Correlated Electrons High Energy Physics - Lattice Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2408.05048 |