TCFHs and hidden symmetries of type IIA AdS backgrounds

G. Papadopoulos (Department of Mathematics, King’s College London, Strand, London, WC2R 2LS, U.K.) ; J. Phillips (Department of Mathematics, King’s College London, Strand, London, WC2R 2LS, U.K.)

We present the twisted covariant form hierarchies (TCFHs) of warped (massive) IIA AdS backgrounds. As a consequence we demonstrate that all Killing spinor form bilinears satisfy a generalisation of the conformal Killing-Yano equation with respect to the TCFH connections. We also explore some of the properties of TCFHs which include the reduced holonomy of the minimal TCFH connections for generic backgrounds. Furthermore, we investigate the interplay between TCFHs and hidden symmetries of probes propagating on IIA AdS backgrounds. We find that some of the Killing spinor form bilinears of near horizon geometries of a class of IIA intersecting brane configurations are Killing-Yano forms and so generate hidden symmetries for spinning particle probes.

{
  "_oai": {
    "updated": "2023-10-24T00:36:46Z", 
    "id": "oai:repo.scoap3.org:78820", 
    "sets": [
      "JHEP"
    ]
  }, 
  "authors": [
    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Department of Mathematics, King\u2019s College London, Strand, London, WC2R 2LS, U.K.", 
          "organization": "King\u2019s College London"
        }
      ], 
      "surname": "Papadopoulos", 
      "email": "george.papadopoulos@kcl.ac.uk", 
      "full_name": "Papadopoulos, G.", 
      "given_names": "G."
    }, 
    {
      "affiliations": [
        {
          "country": "UK", 
          "value": "Department of Mathematics, King\u2019s College London, Strand, London, WC2R 2LS, U.K.", 
          "organization": "King\u2019s College London"
        }
      ], 
      "surname": "Phillips", 
      "email": "jake.phillips@kcl.ac.uk", 
      "full_name": "Phillips, J.", 
      "given_names": "J."
    }
  ], 
  "titles": [
    {
      "source": "Springer", 
      "title": "TCFHs and hidden symmetries of type IIA AdS backgrounds"
    }
  ], 
  "dois": [
    {
      "value": "10.1007/JHEP07(2023)057"
    }
  ], 
  "publication_info": [
    {
      "page_end": "31", 
      "journal_title": "Journal of High Energy Physics", 
      "material": "article", 
      "journal_volume": "2023", 
      "artid": "JHEP07(2023)057", 
      "year": 2023, 
      "page_start": "1", 
      "journal_issue": "7"
    }
  ], 
  "$schema": "http://repo.scoap3.org/schemas/hep.json", 
  "acquisition_source": {
    "date": "2023-10-24T00:34:09.984724", 
    "source": "Springer", 
    "method": "Springer", 
    "submission_number": "7734084a720411eea066664922b6a1d4"
  }, 
  "page_nr": [
    31
  ], 
  "license": [
    {
      "url": "https://creativecommons.org/licenses//by/4.0", 
      "license": "CC-BY-4.0"
    }
  ], 
  "copyright": [
    {
      "holder": "The Author(s)", 
      "year": "2023"
    }
  ], 
  "control_number": "78820", 
  "record_creation_date": "2023-07-08T03:30:18.587603", 
  "_files": [
    {
      "checksum": "md5:856e348679abb737094acc6a9cb343d0", 
      "filetype": "xml", 
      "bucket": "f3a46467-0c29-46c2-b3d4-d8bfa46b3f37", 
      "version_id": "3e510652-21a7-4cb0-85fb-b6e738865bda", 
      "key": "10.1007/JHEP07(2023)057.xml", 
      "size": 10154
    }, 
    {
      "checksum": "md5:31b97e2556a5019655675a3906ce0ef4", 
      "filetype": "pdf/a", 
      "bucket": "f3a46467-0c29-46c2-b3d4-d8bfa46b3f37", 
      "version_id": "3ff3205b-6085-4dfc-aea8-68aab5c83df7", 
      "key": "10.1007/JHEP07(2023)057_a.pdf", 
      "size": 496380
    }
  ], 
  "collections": [
    {
      "primary": "Journal of High Energy Physics"
    }
  ], 
  "arxiv_eprints": [
    {
      "categories": [
        "hep-th", 
        "gr-qc", 
        "math-ph", 
        "math.MP"
      ], 
      "value": "2301.02533"
    }
  ], 
  "abstracts": [
    {
      "source": "Springer", 
      "value": "We present the twisted covariant form hierarchies (TCFHs) of warped (massive) IIA AdS backgrounds. As a consequence we demonstrate that all Killing spinor form bilinears satisfy a generalisation of the conformal Killing-Yano equation with respect to the TCFH connections. We also explore some of the properties of TCFHs which include the reduced holonomy of the minimal TCFH connections for generic backgrounds. Furthermore, we investigate the interplay between TCFHs and hidden symmetries of probes propagating on IIA AdS backgrounds. We find that some of the Killing spinor form bilinears of near horizon geometries of a class of IIA intersecting brane configurations are Killing-Yano forms and so generate hidden symmetries for spinning particle probes."
    }
  ], 
  "imprints": [
    {
      "date": "2023-07-06", 
      "publisher": "Springer"
    }
  ]
}
Published on:
06 July 2023
Publisher:
Springer
Published in:
Journal of High Energy Physics , Volume 2023 (2023)
Issue 7
Pages 1-31
DOI:
https://doi.org/10.1007/JHEP07(2023)057
arXiv:
2301.02533
Copyrights:
The Author(s)
Licence:
CC-BY-4.0

Fulltext files: