An Effective String Theory Toolbox for Quantum Hall Interfaces III: Open Worldsheets, Endpoint Conditions, and Branes

2026/08/06 by Ken K. W. Ma
Physics and Astronomy · #cond-mat.mes-hall #cond-mat.str-el #hep-th #quant-ph

paper · pdf

11 pages, 1 figure

arxiv created 2026/08/06 · arxiv updated 2026/08/07

Abstract

A freely moving quantum Hall (QH) interface may end on a physical edge or topological boundary, but fixed-edge theory cannot determine what endpoint data make such a termination consistent. Here we formulate an open-worldsheet junction framework in which the embedding, material charge, anomaly flow, and topological boundary condition are organized together. The endpoint is specified by a geometric support and variational boundary data, together with condensable topological sectors and any outgoing channels required to absorb or continue the worldsheet flux. This construction extends the charge--shape relation to an interval and shows why a lone chiral Majorana cannot terminate on a finite-dimensional endpoint degree of freedom. It gives an operational definition of a QH brane and a systematic basis for endpoint and network theories of dynamical QH interfaces.

Citations

• An Effective String Theory Toolbox for Quantum Hall Interfaces I: Worldsheet Kinematics and Constraint Structure
• An Effective String Theory Toolbox for Quantum Hall Interfaces II: Majorana Fermions on Fluctuating Moore-Read Worldsheets
• Simple analog of the black-hole information paradox in quantum Hall interfaces
• Dynamics of Quantum Hall Interfaces
• Topological Interface between Pfaffian and anti-Pfaffian Order in ν=5/2 Quantum Hall Effect
• Families of Gapped Interfaces Between Fractional Quantum Hall States
• Interface and Phase Transition between Moore-Read and Halperin 331 Fractional Quantum Hall States: Realization of Chiral Majorana Fermion
• Fermion condensation and super pivotal categories
• Parafermionic wires at the interface of chiral topological states
• Fermion Condensation and Gapped Domain Walls in Topological Orders
• Boundary effective action for quantum Hall states
• Gapped Domain Walls, Gapped Boundaries and Topological Degeneracy
• Ground State Degeneracy of Topological Phases on Open Surfaces
• Ground-state degeneracy for abelian anyons in the presence of gapped boundaries
• Theory of defects in Abelian topological states
• Boundary degeneracy of topological order
• Exotic non-Abelian anyons from conventional fractional quantum Hall states
• Gravitational Anomalies and Thermal Hall effect in Topological Insulators
• Models for gapped boundaries and domain walls
• Boundary Conformal Field Theory and Tunneling of Edge Quasiparticles in non-Abelian Topological States
• Condensate induced transitions between topologically ordered phases
• Gauging the Wess-Zumino term of a sigma model with boundary
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Edge excitations of paired fractional quantum Hall states
• Stability of Chiral Luttinger Liquids and Abelian Quantum Hall States.
• Nonabelions in the fractional quantum hall effect
• The total squared curvature of closed curves