We use the lightcone AdS 3 × S 3 × T 4 superstring sigma model with fermions and bosons subject to twisted boundary conditions to find the ground state energy in the semi-classical approximation where effective string tension h and the light-cone momentum L are sent to infinity in such a way that $$ \mathcal{J} $$ ≡ L/h is kept fixed. We then analyse the ground state energy of the model by means of the mirror TBA equations for the AdS 3 × S 3 × T 4 superstring in the pure RR background. The calculation is performed for small twist μ with L and h fixed, for large L with μ and h fixed, and for small h with μ and L fixed. In these limits the contribution of the gapless worldsheet modes coming from the T 4 bosons and fermions can be computed exactly, and is shown to be proportional to hL/(4L 2 – 1). Comparison with the semi-classical result shows that the TBA equations involve only one Y 0-function for massless excitations but not two as was conjectured before. Some of the results obtained are generalised to the mixed-flux AdS 3 × S 3 × T 4 superstring.
{ "_oai": { "updated": "2024-01-09T09:24:32Z", "id": "oai:repo.scoap3.org:80054", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "Ireland", "value": "Hamilton Mathematics Institute and School of Mathematics, Trinity College, Dublin 2, Ireland", "organization": "Hamilton Mathematics Institute and School of Mathematics" } ], "surname": "Frolov", "email": "frolovs@maths.tcd.ie", "full_name": "Frolov, Sergey", "given_names": "Sergey" }, { "affiliations": [ { "country": "Germany", "value": "Institut f\u00fcr Physik, Humboldt-Universit\u00e4t zu Berlin, Zum Gro\u00dfen Windkanal 2, Berlin, 12489, Germany", "organization": "Humboldt-Universit\u00e4t zu Berlin" } ], "surname": "Pribytok", "email": "antons.pribitoks@physik.hu-berlin.de", "full_name": "Pribytok, Anton", "given_names": "Anton" }, { "affiliations": [ { "country": "Italy", "value": "Dipartimento di Fisica e Astronomia, Universit\u00e0 degli Studi di Padova, via Marzolo 8, Padova, 35131, Italy", "organization": "Universit\u00e0 degli Studi di Padova" }, { "country": "Italy", "value": "Istituto Nazionale di Fisica Nucleare, Sezione di Padova, via Marzolo 8, Padova, 35131, Italy", "organization": "Istituto Nazionale di Fisica Nucleare, Sezione di Padova" }, { "country": "USA", "value": "Institute for Advanced Study, Einstein Drive, Princeton, New Jersey, 08540, USA", "organization": "Institute for Advanced Study" } ], "surname": "Sfondrini", "email": "alessandro.sfondrini@unipd.it", "full_name": "Sfondrini, Alessandro", "given_names": "Alessandro" } ], "titles": [ { "source": "Springer", "title": "Ground state energy of twisted AdS 3 \u00d7 S 3 \u00d7 T 4 superstring and the TBA" } ], "dois": [ { "value": "10.1007/JHEP09(2023)027" } ], "publication_info": [ { "page_end": "29", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2023", "artid": "JHEP09(2023)027", "year": 2023, "page_start": "1", "journal_issue": "9" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-12-25T00:31:48.009941", "source": "Springer", "method": "Springer", "submission_number": "bce29c1aa2bc11eea49c8e4864f4776e" }, "page_nr": [ 29 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2023" } ], "control_number": "80054", "record_creation_date": "2023-09-05T18:30:18.085064", "_files": [ { "checksum": "md5:039b94077b7ee0cb982b816ad8c07b98", "filetype": "xml", "bucket": "fb9b4343-2800-4426-8ce3-928ff35bc061", "version_id": "d9d1a486-c3d9-438e-a0e5-3b3f5b77bf7f", "key": "10.1007/JHEP09(2023)027.xml", "size": 15847 }, { "checksum": "md5:d6f6c4d422c9030dd01b63ce315f6338", "filetype": "pdf/a", "bucket": "fb9b4343-2800-4426-8ce3-928ff35bc061", "version_id": "978630bd-4035-49e9-984b-b2ecf75a650d", "key": "10.1007/JHEP09(2023)027_a.pdf", "size": 494949 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th" ], "value": "2305.17128" } ], "abstracts": [ { "source": "Springer", "value": "We use the lightcone AdS 3 \u00d7 S 3 \u00d7 T 4 superstring sigma model with fermions and bosons subject to twisted boundary conditions to find the ground state energy in the semi-classical approximation where effective string tension h and the light-cone momentum L are sent to infinity in such a way that <math> <mi>J</mi> </math> $$ \\mathcal{J} $$ \u2261 L/h is kept fixed. We then analyse the ground state energy of the model by means of the mirror TBA equations for the AdS 3 \u00d7 S 3 \u00d7 T 4 superstring in the pure RR background. The calculation is performed for small twist \u03bc with L and h fixed, for large L with \u03bc and h fixed, and for small h with \u03bc and L fixed. In these limits the contribution of the gapless worldsheet modes coming from the T 4 bosons and fermions can be computed exactly, and is shown to be proportional to hL/(4L 2 \u2013 1). Comparison with the semi-classical result shows that the TBA equations involve only one Y 0-function for massless excitations but not two as was conjectured before. Some of the results obtained are generalised to the mixed-flux AdS 3 \u00d7 S 3 \u00d7 T 4 superstring." } ], "imprints": [ { "date": "2023-09-05", "publisher": "Springer" } ] }