Quantization of a self-dual conformal theory in (2 + 1) dimensions

Francesco Andreucci (Dipartimento di Fisica, Università di Firenze, Via G. Sansone 1, Sesto Fiorentino, Firenze, 50019, Italy; SISSA, Via Bonomea 265, Trieste, 34136, Italy) ; Andrea Cappelli (INFN, Sezione di Firenze, Via G. Sansone 1, Sesto Fiorentino, Firenze, 50019, Italy) ; Lorenzo Maffi (Dipartimento di Fisica, Università di Firenze, Via G. Sansone 1, Sesto Fiorentino, Firenze, 50019, Italy; INFN, Sezione di Firenze, Via G. Sansone 1, Sesto Fiorentino, Firenze, 50019, Italy)

Compact nonlocal Abelian gauge theory in (2 + 1) dimensions, also known as loop model, is a massless theory with a critical line that is explicitly covariant under duality transformations. It corresponds to the large N F limit of self-dual electrodynamics in mixed three-four dimensions. It also provides a bosonic description for surface excitations of three-dimensional topological insulators. Upon mapping the model to a local gauge theory in (3 + 1) dimensions, we compute the spectrum of electric and magnetic solitonic excitations and the partition function on the three torus T 3 $$ {\mathbbm{T}}_3 $$ . Analogous results for the S 2 × S 1 geometry show that the theory is conformal invariant and determine the manifestly self-dual spectrum of conformal fields, corresponding to order-disorder excitations with fractional statistics.

{
  "_oai": {
    "updated": "2022-03-03T05:26:24Z", 
    "id": "oai:repo.scoap3.org:52851", 
    "sets": [
      "JHEP"
    ]
  }, 
  "authors": [
    {
      "affiliations": [
        {
          "country": "Italy", 
          "value": "Dipartimento di Fisica, Universit\u00e0 di Firenze, Via G. Sansone 1, Sesto Fiorentino, Firenze, 50019, Italy", 
          "organization": "Universit\u00e0 di Firenze"
        }, 
        {
          "country": "Italy", 
          "value": "SISSA, Via Bonomea 265, Trieste, 34136, Italy", 
          "organization": "SISSA"
        }
      ], 
      "surname": "Andreucci", 
      "email": "fandreuc@sissa.it", 
      "full_name": "Andreucci, Francesco", 
      "given_names": "Francesco"
    }, 
    {
      "affiliations": [
        {
          "country": "Italy", 
          "value": "INFN, Sezione di Firenze, Via G. Sansone 1, Sesto Fiorentino, Firenze, 50019, Italy", 
          "organization": "INFN, Sezione di Firenze"
        }
      ], 
      "surname": "Cappelli", 
      "email": "andrea.cappelli@fi.infn.it", 
      "full_name": "Cappelli, Andrea", 
      "given_names": "Andrea"
    }, 
    {
      "affiliations": [
        {
          "country": "Italy", 
          "value": "Dipartimento di Fisica, Universit\u00e0 di Firenze, Via G. Sansone 1, Sesto Fiorentino, Firenze, 50019, Italy", 
          "organization": "Universit\u00e0 di Firenze"
        }, 
        {
          "country": "Italy", 
          "value": "INFN, Sezione di Firenze, Via G. Sansone 1, Sesto Fiorentino, Firenze, 50019, Italy", 
          "organization": "INFN, Sezione di Firenze"
        }
      ], 
      "surname": "Maffi", 
      "email": "lorenzo.maffi@fi.infn.it", 
      "full_name": "Maffi, Lorenzo", 
      "given_names": "Lorenzo"
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "Quantization of a self-dual conformal theory in (2 + 1) dimensions"
    }
  ], 
  "dois": [
    {
      "value": "10.1007/JHEP02(2020)116"
    }
  ], 
  "publication_info": [
    {
      "page_end": "35", 
      "journal_title": "Journal of High Energy Physics", 
      "material": "article", 
      "journal_volume": "2020", 
      "artid": "JHEP02(2020)116", 
      "year": 2020, 
      "page_start": "1", 
      "journal_issue": "2"
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "acquisition_source": {
    "date": "2021-05-05T15:12:53.222993", 
    "source": "Springer", 
    "method": "Springer", 
    "submission_number": "cd5d2ec6adb311eba0e30a580a641584"
  }, 
  "page_nr": [
    35
  ], 
  "license": [
    {
      "url": "https://creativecommons.org/licenses//by/4.0", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "holder": "The Author(s)", 
      "year": "2021"
    }
  ], 
  "control_number": "52851", 
  "record_creation_date": "2020-02-20T04:30:28.090894", 
  "_files": [
    {
      "checksum": "md5:000927800afdc1aea23c66970dcf867b", 
      "filetype": "xml", 
      "bucket": "95128958-133d-4f1e-aa1b-8a009f1f6f80", 
      "version_id": "20853052-701a-42b2-b4c9-0ae5b81b9c25", 
      "key": "10.1007/JHEP02(2020)116.xml", 
      "size": 13662
    }, 
    {
      "checksum": "md5:cdee074b77078544e45341aa34115c16", 
      "filetype": "pdf/a", 
      "bucket": "95128958-133d-4f1e-aa1b-8a009f1f6f80", 
      "version_id": "714927a3-aaed-492d-a4cb-4a84fefc0b84", 
      "key": "10.1007/JHEP02(2020)116_a.pdf", 
      "size": 874975
    }
  ], 
  "collections": [
    {
      "primary": "Journal of High Energy Physics"
    }
  ], 
  "arxiv_eprints": [
    {
      "categories": [
        "hep-th", 
        "cond-mat.str-el"
      ], 
      "value": "1912.04125"
    }
  ], 
  "abstracts": [
    {
      "source": "Springer", 
      "value": "Compact nonlocal Abelian gauge theory in (2 + 1) dimensions, also known as loop model, is a massless theory with a critical line that is explicitly covariant under duality transformations. It corresponds to the large N  F  limit of self-dual electrodynamics in mixed three-four dimensions. It also provides a bosonic description for surface excitations of three-dimensional topological insulators. Upon mapping the model to a local gauge theory in (3 + 1) dimensions, we compute the spectrum of electric and magnetic solitonic excitations and the partition function on the three torus   <math> <msub> <mi>T</mi> <mn>3</mn> </msub> </math>  $$ {\\mathbbm{T}}_3 $$ . Analogous results for the S 2 \u00d7 S 1 geometry show that the theory is conformal invariant and determine the manifestly self-dual spectrum of conformal fields, corresponding to order-disorder excitations with fractional statistics."
    }
  ], 
  "imprints": [
    {
      "date": "2020-02-19", 
      "publisher": "Springer"
    }
  ]
}
Published on:
19 February 2020
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2020 (2020)
Issue 2
Pages 1-35
DOI:
https://doi.org/10.1007/JHEP02(2020)116
arXiv:
1912.04125
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: