Topological Phases for Extended Objects: Semiclassical Phase-Space Approach with Tensorial Coordinates
arXiv:2406.16534 · doi:10.1103/PhysRevD.111.026010
Abstract
It has long been established that certain higher-dimensional topological phases of matter support extended objects like quasi-strings and quasi-membranes in their bulk states. In this study, we investigate the physics of these topological systems using a phase-space approach in the semiclassical regime, incorporating tensorial coordinates related to the extended objects. Specifically, we explore the semiclassical currents associated to open quasi-strings in topological phases in three spatial dimensions, considering the presence of both coordinate-space Kalb-Ramond fields and momentum-space tensor Berry connections. Our results show that the currents associated to the endpoints of open quasi-strings on the system's boundary exhibit a quantized Hall response. This formalism accurately reproduces the boundary response as predicted by an Abelian BF theory proving a novel way to study extended objects in topological matter.
5 pages
References in corpus (16)
- Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
- Exploring 4D Quantum Hall Physics with a 2D Topological Charge Pump
- Quantum Gravity, Dynamical Phase Space and String Theory
- Vortex-line condensation in three dimensions: A physical mechanism for bosonic topological insulators
- Tensor Operators in Noncommutative Quantum Mechanics
- Vortex-boson duality in four space-time dimensions
- Four-dimensional semimetals with tensor monopoles: From surface states to topological responses
- Probing non-Hermitian phase transitions in curved space via quench dynamics
- Unified Topological Response Theory for Gapped and Gapless Free Fermions
- Interplay of Band Geometry and Topology in Ideal Chern Insulators in Presence of External Electromagnetic Fields
- Topological BF theory of the quantum hydrodynamics of incompressible polar fluids
- Nonlinear dynamics of skyrmion strings
- D1-brane in Constant R-R 3-form Flux and Nambu Dynamics in String Theory
- Fermionic dualities with axial gauge fields
- Higher bracket structure of density operators in Weyl fermion systems and topological insulators
- Massive Higher-Spin Fields in the Fractional Quantum Hall Effect