ABCD of qq-characters

Satoshi Nawata (Department of Physics and Center for Field Theory and Particle Physics, Fudan University, 2005 Songhu Road, Shanghai, 200438, China) ; Kilar Zhang (Department of Physics, Shanghai University, 99 Shangda Road, Shanghai, 200444, China; Shanghai Key Lab for Astrophysics, Shanghai Normal University, 100 Guilin Road, Shanghai, 200234, China) ; Rui-Dong Zhu (Institute for Advanced Study & School of Physical Science and Technology, Soochow University, 333 Ganjiang Road, Suzhou, 215006, China)

The qq-characters are powerful tools to reveal symmetries and integrabilities of Seiberg-Witten theories. The goal of this paper is to provide analytic expressions of qq-characters based on Young diagrams in 5d 𝒩 = 1 pure Yang-Mills theories with BCD-type gauge groups, by focusing on the unrefined limit. Using these expressions, we investigate the relationships among qq-characters of classical gauge groups. For SO(n) gauge groups, we construct a quantum-toroidal-like algebra via the Ward-identity approach, which allows us to derive the qq-characters.

{
  "_oai": {
    "updated": "2023-10-29T00:31:48Z", 
    "id": "oai:repo.scoap3.org:79947", 
    "sets": [
      "JHEP"
    ]
  }, 
  "authors": [
    {
      "affiliations": [
        {
          "country": "China", 
          "value": "Department of Physics and Center for Field Theory and Particle Physics, Fudan University, 2005 Songhu Road, Shanghai, 200438, China", 
          "organization": "Fudan University"
        }
      ], 
      "surname": "Nawata", 
      "email": "snawata@gmail.com", 
      "full_name": "Nawata, Satoshi", 
      "given_names": "Satoshi"
    }, 
    {
      "affiliations": [
        {
          "country": "China", 
          "value": "Department of Physics, Shanghai University, 99 Shangda Road, Shanghai, 200444, China", 
          "organization": "Shanghai University"
        }, 
        {
          "country": "China", 
          "value": "Shanghai Key Lab for Astrophysics, Shanghai Normal University, 100 Guilin Road, Shanghai, 200234, China", 
          "organization": "Shanghai Normal University"
        }
      ], 
      "surname": "Zhang", 
      "email": "kilar@shu.edu.cn", 
      "full_name": "Zhang, Kilar", 
      "given_names": "Kilar"
    }, 
    {
      "affiliations": [
        {
          "country": "China", 
          "value": "Institute for Advanced Study & School of Physical Science and Technology, Soochow University, 333 Ganjiang Road, Suzhou, 215006, China", 
          "organization": "Soochow University"
        }
      ], 
      "surname": "Zhu", 
      "email": "rdzhu@suda.edu.cn", 
      "full_name": "Zhu, Rui-Dong", 
      "given_names": "Rui-Dong"
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "ABCD of qq-characters"
    }
  ], 
  "dois": [
    {
      "value": "10.1007/JHEP08(2023)200"
    }
  ], 
  "publication_info": [
    {
      "page_end": "43", 
      "journal_title": "Journal of High Energy Physics", 
      "material": "article", 
      "journal_volume": "2023", 
      "artid": "JHEP08(2023)200", 
      "year": 2023, 
      "page_start": "1", 
      "journal_issue": "8"
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "acquisition_source": {
    "date": "2023-10-29T00:31:12.536751", 
    "source": "Springer", 
    "method": "Springer", 
    "submission_number": "4b4c5d8a75f211eea066664922b6a1d4"
  }, 
  "page_nr": [
    43
  ], 
  "license": [
    {
      "url": "https://creativecommons.org/licenses//by/4.0", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "holder": "The Author(s)", 
      "year": "2023"
    }
  ], 
  "control_number": "79947", 
  "record_creation_date": "2023-08-30T15:30:08.872478", 
  "_files": [
    {
      "checksum": "md5:15aa870cb554374ff9cdd46e278d0e77", 
      "filetype": "xml", 
      "bucket": "bcd6fbba-4ad7-4f6a-952f-610595b366a3", 
      "version_id": "14ba75a1-a22c-4f5b-8d65-8695027b0a01", 
      "key": "10.1007/JHEP08(2023)200.xml", 
      "size": 12980
    }, 
    {
      "checksum": "md5:46b2c813a743b702b0084cc881f3681a", 
      "filetype": "pdf/a", 
      "bucket": "bcd6fbba-4ad7-4f6a-952f-610595b366a3", 
      "version_id": "223c7e75-9d41-40e4-9c28-2e313051b013", 
      "key": "10.1007/JHEP08(2023)200_a.pdf", 
      "size": 670118
    }
  ], 
  "collections": [
    {
      "primary": "Journal of High Energy Physics"
    }
  ], 
  "arxiv_eprints": [
    {
      "categories": [
        "hep-th", 
        "math-ph", 
        "math.MP"
      ], 
      "value": "2302.00525"
    }
  ], 
  "abstracts": [
    {
      "source": "Springer", 
      "value": "The qq-characters are powerful tools to reveal symmetries and integrabilities of Seiberg-Witten theories. The goal of this paper is to provide analytic expressions of qq-characters based on Young diagrams in 5d \ud835\udca9 = 1 pure Yang-Mills theories with BCD-type gauge groups, by focusing on the unrefined limit. Using these expressions, we investigate the relationships among qq-characters of classical gauge groups. For SO(n) gauge groups, we construct a quantum-toroidal-like algebra via the Ward-identity approach, which allows us to derive the qq-characters."
    }
  ], 
  "imprints": [
    {
      "date": "2023-08-29", 
      "publisher": "Springer"
    }
  ]
}
Published on:
29 August 2023
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2023 (2023)
Issue 8
Pages 1-43
DOI:
https://doi.org/10.1007/JHEP08(2023)200
arXiv:
2302.00525
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: