New Field Theories with Foliation Structure and Subdimensional Particles from Godbillon-Vey Invariant

• URL: http://arxiv.org/abs/2408.05048v1
• Date: Fri, 9 Aug 2024 13:04:38 GMT
• Title: New Field Theories with Foliation Structure and Subdimensional Particles from Godbillon-Vey Invariant
• Authors: Hiromi Ebisu, Masazumi Honda, Taiichi Nakanishi, Soichiro Shimamori,
• Abstract summary: 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 ground state degeneracies.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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.

Related papers

• Foliated BF theories and Multipole symmetries [0.0]
  We construct new sets of $mathbbZ_N$ $2+1d$ foliated BF theories, where BF theories of conventional topological phases are stacked in layers with couplings between them. By investigating gauge invariant non-local operators, we show that our foliated BF theories exhibit unusual ground state degeneracy depending on the system size. Our result provides a unified insight on UV lattice models of the fracton topological phases and other unconventional ones in view of foliated field theories.
  arXiv  Detail & Related papers  (2023-10-10T15:24:37Z)
• Hyperbolic lattices and two-dimensional Yang-Mills theory [0.0]
  Hyperbolic lattices are a new type of synthetic quantum matter emulated in circuit quantum electrodynamics and electric-circuit networks. We show that moments of the density of states of hyperbolic tight-binding models correspond to expectation values of Wilson loops in the quantum gauge theory.
  arXiv  Detail & Related papers  (2023-09-07T17:15:54Z)
• Quantum quenches in fractonic field theories [0.0]
  We study out-of-equilibrium dynamics caused by global quantum quenches in fractonic scalar field theories. We discuss a generalization to $mathbbZ_n$-symmetric field theories, and introduce a proper regularization.
  arXiv  Detail & Related papers  (2023-06-26T18:00:02Z)
• Keldysh Nonlinear Sigma Model for a Free-Fermion Gas under Continuous Measurements [1.5974497551212925]
  Quantum entanglement phase transitions have provided new insights to quantum many-body dynamics. We analytically analyze a $d$-dimension free-fermion gas subject to continuous projective measurements. Our effective theory resembles to that used to describe the disordered fermionic systems.
  arXiv  Detail & Related papers  (2022-07-07T15:31:34Z)
• From locality to irregularity: Introducing local quenches in massive scalar field theory [68.8204255655161]
  We consider the dynamics of excited local states in massive scalar field theory in an arbitrary spacetime dimension. We identify different regimes of their evolution depending on the values of the field mass and the quench regularization parameter. We also investigate the local quenches in massive scalar field theory on a cylinder and show that they cause an erratic and chaotic-like evolution of observables.
  arXiv  Detail & Related papers  (2022-05-24T18:00:07Z)
• Realizing a 1D topological gauge theory in an optically dressed BEC [0.0]
  Topological gauge theories describe the low-energy properties of strongly correlated quantum systems through effective weakly interacting models. In traditional solid-state platforms such gauge theories are only convenient theoretical constructions. We report the quantum simulation of a topological gauge theory by realizing a one-dimensional reduction of the Chern-Simons theory in a Bose-Einstein condensate.
  arXiv  Detail & Related papers  (2022-04-11T19:38:44Z)
• Boundary theories of critical matchgate tensor networks [59.433172590351234]
  Key aspects of the AdS/CFT correspondence can be captured in terms of tensor network models on hyperbolic lattices. For tensors fulfilling the matchgate constraint, these have previously been shown to produce disordered boundary states. We show that these Hamiltonians exhibit multi-scale quasiperiodic symmetries captured by an analytical toy model.
  arXiv  Detail & Related papers  (2021-10-06T18:00:03Z)
• Cold atoms meet lattice gauge theory [72.24363031615489]
  We will consider quantum field theory models relevant for particle physics and replace the fermionic matter in these models by a bosonic one. This is motivated by the fact that bosons are more accessible'' and easier to manipulate for experimentalists, but this substitution'' also leads to new physics and novel phenomena.
  arXiv  Detail & Related papers  (2021-06-06T08:53:47Z)
• Topological Quantum Gravity of the Ricci Flow [62.997667081978825]
  We present a family of topological quantum gravity theories associated with the geometric theory of the Ricci flow. First, we use BRST quantization to construct a "primitive" topological Lifshitz-type theory for only the spatial metric. We extend the primitive theory by gauging foliation-preserving spacetime symmetries.
  arXiv  Detail & Related papers  (2020-10-29T06:15:30Z)
• Tensor network models of AdS/qCFT [69.6561021616688]
  We introduce the notion of a quasiperiodic conformal field theory (qCFT) We show that qCFT can be best understood as belonging to a paradigm of discrete holography.
  arXiv  Detail & Related papers  (2020-04-08T18:00:05Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.