Compactifications of the Chaudhuri-Hockney-Lykken (CHL) string to eight dimensions can be characterized by embeddings of root lattices into the rank 12 momentum lattice , the so-called Mikhailov lattice. Based on these data, we devise a method to determine the global gauge group structure including all factors. The key observation is that, while the physical states correspond to vectors in the momentum lattice, the gauge group topology is encoded in its dual. Interpreting a nontrivial for the non-Abelian gauge group as having gauged a 1-form symmetry, we also prove that all CHL gauge groups are free of a certain anomaly [1] that would obstruct this gauging. We verify this by explicitly computing for all 8D CHL vacua with . Since our method applies also to compactifications of heterotic strings, we further establish a map that determines any CHL gauge group topology from that of a “parent” heterotic model.
{ "_oai": { "updated": "2022-04-05T09:48:02Z", "id": "oai:repo.scoap3.org:65289", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Mirjam Cveti\u010d", "affiliations": [ { "country": "USA", "value": "Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA" }, { "country": "USA", "value": "Department of Mathematics, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA" }, { "country": "Slovenia", "value": "Center for Applied Mathematics and Theoretical Physics, University of Maribor, SI20000 Maribor, Slovenia" } ], "surname": "Cveti\u010d", "given_names": "Mirjam", "full_name": "Cveti\u010d, Mirjam" }, { "raw_name": "Markus Dierigl", "affiliations": [ { "country": "Germany", "value": "Arnold-Sommerfeld-Center for Theoretical Physics, Ludwig-Maximilians-Universit\u00e4t, 80333 M\u00fcnchen, Germany" } ], "surname": "Dierigl", "given_names": "Markus", "full_name": "Dierigl, Markus" }, { "raw_name": "Ling Lin", "affiliations": [ { "country": "CERN", "value": "CERN Theory Department, CH-1211 Geneva, Switzerland" } ], "surname": "Lin", "given_names": "Ling", "full_name": "Lin, Ling" }, { "raw_name": "Hao Y. Zhang", "affiliations": [ { "country": "USA", "value": "Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA" } ], "surname": "Zhang", "given_names": "Hao Y.", "full_name": "Zhang, Hao Y." } ], "titles": [ { "source": "APS", "title": "Gauge group topology of 8D Chaudhuri-Hockney-Lykken vacua" } ], "dois": [ { "value": "10.1103/PhysRevD.104.086018" } ], "publication_info": [ { "journal_volume": "104", "journal_title": "Physical Review D", "material": "article", "journal_issue": "8", "year": 2021 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2022-04-05T09:21:40.541852", "source": "APS", "method": "APS", "submission_number": "a0d20d20b4c111ec837fd6d834be26e1" }, "page_nr": [ 18 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2021" } ], "control_number": "65289", "record_creation_date": "2021-10-12T16:30:03.759960", "_files": [ { "checksum": "md5:8fde8817079259b652b427c32039686c", "filetype": "pdf", "bucket": "dd7a1ebd-1e83-4750-863a-e8f11e931e9c", "version_id": "2a506db7-af93-45ad-82ba-e7f03f887d1f", "key": "10.1103/PhysRevD.104.086018.pdf", "size": 364823 }, { "checksum": "md5:d14bd03e3ef1b92631eb0eb9b9ef9c94", "filetype": "xml", "bucket": "dd7a1ebd-1e83-4750-863a-e8f11e931e9c", "version_id": "9bae48d2-cd78-452a-a406-b202cdc3df71", "key": "10.1103/PhysRevD.104.086018.xml", "size": 569487 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-th" ], "value": "2107.04031" } ], "abstracts": [ { "source": "APS", "value": "Compactifications of the Chaudhuri-Hockney-Lykken (CHL) string to eight dimensions can be characterized by embeddings of root lattices into the rank 12 momentum lattice <math><msub><mi>\u039b</mi><mi>M</mi></msub></math>, the so-called Mikhailov lattice. Based on these data, we devise a method to determine the global gauge group structure including all <math><mi>U</mi><mo>(</mo><mn>1</mn><mo>)</mo></math> factors. The key observation is that, while the physical states correspond to vectors in the momentum lattice, the gauge group topology is encoded in its dual. Interpreting a nontrivial <math><msub><mi>\u03c0</mi><mn>1</mn></msub><mo>(</mo><mi>G</mi><mo>)</mo><mo>\u2261</mo><mi>Z</mi></math> for the non-Abelian gauge group <math><mi>G</mi></math> as having gauged a <math><mi>Z</mi></math> 1-form symmetry, we also prove that all CHL gauge groups are free of a certain anomaly [1] that would obstruct this gauging. We verify this by explicitly computing <math><mi>Z</mi></math> for all 8D CHL vacua with <math><mrow><mi>rank</mi><mo>(</mo><mi>G</mi><mo>)</mo><mo>=</mo><mn>10</mn></mrow></math>. Since our method applies also to <math><msup><mi>T</mi><mn>2</mn></msup></math> compactifications of heterotic strings, we further establish a map that determines any CHL gauge group topology from that of a \u201cparent\u201d heterotic model." } ], "imprints": [ { "date": "2021-10-12", "publisher": "APS" } ] }