Compactifications of the heterotic string on special T d /ℤ2 orbifolds realize a landscape of string models with 16 supercharges and a gauge group on the left-moving sector of reduced rank d + 8. The momenta of untwisted and twisted states span a lattice known as the Mikhailov lattice II(d), which is not self-dual for d > 1. By using computer algorithms which exploit the properties of lattice embeddings, we perform a systematic exploration of the moduli space for d ≤ 2, and give a list of maximally enhanced points where the U(1) d+8 enhances to a rank d + 8 non-Abelian gauge group. For d = 1, these groups are simply-laced and simply-connected, and in fact can be obtained from the Dynkin diagram of E10. For d = 2 there are also symplectic and doubly-connected groups. For the latter we find the precise form of their fundamental groups from embeddings of lattices into the dual of II(2). Our results easily generalize to d > 2.
{ "_oai": { "updated": "2021-11-24T00:50:56Z", "id": "oai:repo.scoap3.org:64149", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "Venezuela", "value": "Facultad de Ciencias, Universidad Central de Venezuela, A.P.20513, Caracas, 1020-A, Venezuela", "organization": "Universidad Central de Venezuela" }, { "country": "Germany", "value": "Max-Planck-Institut f\u00fcr Gravitationsphysik, Albert-Einstein-Institut, Potsdam, 14476 Golm, Germany", "organization": "Albert-Einstein-Institut" } ], "surname": "Font", "email": "afont@fisica.ciens.ucv.ve", "full_name": "Font, Anamar\u00eda", "given_names": "Anamar\u00eda" }, { "affiliations": [ { "country": "Argentina", "value": "Instituto de Astronom\u00eda y F\u00edsica del Espacio (IAFE-CONICET-UBA), Ciudad Universitaria, Pabell\u00f3n 1, Buenos Aires, 1428, Argentina", "organization": "Ciudad Universitaria" }, { "country": "Argentina", "value": "Departamento de F\u00edsica, FCEyN, Universidad de Buenos Aires (UBA), Ciudad Universitaria, Pabell\u00f3n 1, Buenos Aires, 1428, Argentina", "organization": "Universidad de Buenos Aires (UBA), Ciudad Universitaria" }, { "country": "France", "value": "Institut de Physique Th\u00e9orique, Universit\u00e9 Paris Saclay, CEA, CNRS, Orme des Merisiers, Gif-sur-Yvette CEDEX, 91191, France", "organization": "Universit\u00e9 Paris Saclay, CEA, CNRS" } ], "surname": "Fraiman", "email": "bfraiman@iafe.uba.ar", "full_name": "Fraiman, Bernardo", "given_names": "Bernardo" }, { "affiliations": [ { "country": "France", "value": "Institut de Physique Th\u00e9orique, Universit\u00e9 Paris Saclay, CEA, CNRS, Orme des Merisiers, Gif-sur-Yvette CEDEX, 91191, France", "organization": "Universit\u00e9 Paris Saclay, CEA, CNRS" } ], "surname": "Gra\u00f1a", "email": "mariana.grana@ipht.fr", "full_name": "Gra\u00f1a, Mariana", "given_names": "Mariana" }, { "affiliations": [ { "country": "Argentina", "value": "Instituto de Astronom\u00eda y F\u00edsica del Espacio (IAFE-CONICET-UBA), Ciudad Universitaria, Pabell\u00f3n 1, Buenos Aires, 1428, Argentina", "organization": "Ciudad Universitaria" }, { "country": "Argentina", "value": "Departamento de F\u00edsica, FCEyN, Universidad de Buenos Aires (UBA), Ciudad Universitaria, Pabell\u00f3n 1, Buenos Aires, 1428, Argentina", "organization": "Universidad de Buenos Aires (UBA), Ciudad Universitaria" } ], "surname": "N\u00fa\u00f1ez", "email": "carmen@iafe.uba.ar", "full_name": "N\u00fa\u00f1ez, Carmen", "given_names": "Carmen" }, { "affiliations": [ { "country": "France", "value": "Institut de Physique Th\u00e9orique, Universit\u00e9 Paris Saclay, CEA, CNRS, Orme des Merisiers, Gif-sur-Yvette CEDEX, 91191, France", "organization": "Universit\u00e9 Paris Saclay, CEA, CNRS" } ], "surname": "Freitas", "email": "hector.parradefreitas@ipht.fr", "full_name": "Freitas, H\u00e9ctor", "given_names": "H\u00e9ctor" } ], "titles": [ { "source": "Springer", "title": "Exploring the landscape of CHL strings on T d" } ], "dois": [ { "value": "10.1007/JHEP08(2021)095" } ], "publication_info": [ { "page_end": "48", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2021", "artid": "JHEP08(2021)095", "year": 2021, "page_start": "1", "journal_issue": "8" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2021-11-24T00:32:32.521973", "source": "Springer", "method": "Springer", "submission_number": "a88a546c4cbd11ecaa1b7aa32592193b" }, "page_nr": [ 48 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2021" } ], "control_number": "64149", "record_creation_date": "2021-08-19T18:30:16.595883", "_files": [ { "checksum": "md5:753934a09446f6e8308ee87faa8a149c", "filetype": "xml", "bucket": "67c8b19c-d15f-4ba0-b143-78373ae3d589", "version_id": "9ce1450c-0a6d-43b5-8814-001107047a19", "key": "10.1007/JHEP08(2021)095.xml", "size": 15424 }, { "checksum": "md5:196b2e06339437486245d00ffe0fdd29", "filetype": "pdf/a", "bucket": "67c8b19c-d15f-4ba0-b143-78373ae3d589", "version_id": "9d222a01-bb71-47a2-9337-51bc9c21f181", "key": "10.1007/JHEP08(2021)095_a.pdf", "size": 776617 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th" ], "value": "2104.07131" } ], "abstracts": [ { "source": "Springer", "value": "Compactifications of the heterotic string on special T d /\u21242 orbifolds realize a landscape of string models with 16 supercharges and a gauge group on the left-moving sector of reduced rank d + 8. The momenta of untwisted and twisted states span a lattice known as the Mikhailov lattice II(d), which is not self-dual for d > 1. By using computer algorithms which exploit the properties of lattice embeddings, we perform a systematic exploration of the moduli space for d \u2264 2, and give a list of maximally enhanced points where the U(1) d+8 enhances to a rank d + 8 non-Abelian gauge group. For d = 1, these groups are simply-laced and simply-connected, and in fact can be obtained from the Dynkin diagram of E10. For d = 2 there are also symplectic and doubly-connected groups. For the latter we find the precise form of their fundamental groups from embeddings of lattices into the dual of II(2). Our results easily generalize to d > 2." } ], "imprints": [ { "date": "2021-08-18", "publisher": "Springer" } ] }