Skip to content
DraconiticResearch
Search Sources API
197,768 studies31 sourcesUpdated 1 h ago
PreprintarXiv licencearXiv

Field theories and critical excitations at anyon condensation transitions

  • Luisa Eck
  • Xie Chen
Open at sourcePDFDOICite

Abstract

Anyon condensation transitions remain challenging to characterize especially when the condensing anyons are non-abelian. We develop two complementary approaches for extracting information about the transition from the categorical data of the parent topological order and the condensate. The first adapts a Ginzburg-Landau procedure developed for 1+1D transitions in the SymTFT setting to 2+1D anyon condensation transitions. The construction applies when the anyons participating in the condensate have integer quantum dimensions. The second gives a criterion for identifying which point and loop excitations become critical at a continuous transition. The key step is to determine which anyon loops remain condensed throughout. All other loops become critical, while a point excitation becomes critical if it braids trivially with every condensed loop. We illustrate both proposals in several abelian and non-abelian examples.

Related

  1. Numerical Investigations of Phase Transitions in Lattice Field Theories
    Vamika Longia
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsarXiv
  2. Interplay between decoupling and non-decoupling effective field theories in electroweak phase transitions
    Katsuya Hashino, Daiki Ueda
    arXivPreprintarXiv licenceFull textHigh-energy & particle physicsarXiv
  3. Beyond Critical Slowing Down: Slow Modes, Extreme Tails, and Field Decoherence in Tipping Transitions
    Mickaël D. Chekroun, Valerio Lucarini
    arXivPreprintarXiv licenceFull textAtmospheric science & meteorologyMathematical physicsarXiv
  4. Crystal electric field excitations and an effective-spin-1/2 ground doublet in the hyperkagome magnet Yb3Sc2Ga3O12
    Tingjun Zhang, Zehao Wang, Douglas L. Abernathy +4
    arXivPreprintarXiv licenceFull textCondensed matterarXiv
  5. Field theories for Laplacian Growth
    Paolo Pisapia, Assaf Shapira, Kay Joerg Wiese
    HALPreprintLicence not statedGeneral physicsHAL

Cite

BibTeXRIS
BibTeX
@misc{eck2026field,
  title = {{Field theories and critical excitations at anyon condensation transitions}},
  author = {Luisa Eck and Xie Chen},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.28148},
  eprint = {2610.28148},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.28148},
}
RIS
TY  - UNPB
TI  - Field theories and critical excitations at anyon condensation transitions
AU  - Luisa Eck
AU  - Xie Chen
PY  - 2026
DA  - 2026/10/20
PB  - arXiv
DO  - 10.48550/arxiv.2610.28148
UR  - https://arxiv.org/abs/2610.28148
AB  - Anyon condensation transitions remain challenging to characterize especially when the condensing anyons are non-abelian. We develop two complementary approaches for extracting information about the transition from the categorical data of the parent topological order and the condensate. The first adapts a Ginzburg-Landau procedure developed for 1+1D transitions in the SymTFT setting to 2+1D anyon condensation transitions. The construction applies when the anyons participating in the condensate have integer quantum dimensions. The second gives a criterion for identifying which point and loop excitations become critical at a continuous transition. The key step is to determine which anyon loops remain condensed throughout. All other loops become critical, while a point excitation becomes critical if it braids trivially with every condensed loop. We illustrate both proposals in several abelian and non-abelian examples.
ER  -