WZW models live on a moduli space parameterized by current-current deformations. The moduli space defines an ensemble of conformal field theories, which generically have N abelian conserved currents and central charge c > N. We calculate the average partition function and show that it can be interpreted as a sum over 3-manifolds. This suggests that the ensemble-averaged theory has a holographic dual, generalizing recent results on Narain CFTs. The bulk theory, at the perturbative level, is identified as U(1)2N Chern-Simons theory coupled to additional matter fields. From a mathematical perspective, our principal result is a Siegel-Weil formula for the characters of an affine Lie algebra.
{ "_oai": { "updated": "2021-12-27T13:06:08Z", "id": "oai:repo.scoap3.org:64981", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "USA", "value": "Department of Physics, Cornell University, Ithaca, New York, USA", "organization": "Cornell University" } ], "surname": "Dong", "email": "jd722@cornell.edu", "full_name": "Dong, Junkai", "given_names": "Junkai" }, { "affiliations": [ { "country": "USA", "value": "Department of Physics, Cornell University, Ithaca, New York, USA", "organization": "Cornell University" } ], "surname": "Hartman", "email": "hartman@cornell.edu", "full_name": "Hartman, Thomas", "given_names": "Thomas" }, { "affiliations": [ { "country": "USA", "value": "Department of Physics, Cornell University, Ithaca, New York, USA", "organization": "Cornell University" } ], "surname": "Jiang", "email": "yj366@cornell.edu", "full_name": "Jiang, Yikun", "given_names": "Yikun" } ], "titles": [ { "source": "Springer", "title": "Averaging over moduli in deformed WZW models" } ], "dois": [ { "value": "10.1007/JHEP09(2021)185" } ], "publication_info": [ { "page_end": "34", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2021", "artid": "JHEP09(2021)185", "year": 2021, "page_start": "1", "journal_issue": "9" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2021-12-27T12:32:41.382036", "source": "Springer", "method": "Springer", "submission_number": "b5593574671011ecbc4196e84b9c3210" }, "page_nr": [ 34 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2021" } ], "control_number": "64981", "record_creation_date": "2021-09-29T15:30:16.123124", "_files": [ { "checksum": "md5:1a217a44f3bf74aea1d218d551c08949", "filetype": "xml", "bucket": "b9bab7a4-fe14-4687-8e61-3b8b52028b12", "version_id": "827beab5-87f1-477c-88c8-2db991e3bee5", "key": "10.1007/JHEP09(2021)185.xml", "size": 11276 }, { "checksum": "md5:c7340f9f8fa5f9d9895aeef8ec0c179f", "filetype": "pdf/a", "bucket": "b9bab7a4-fe14-4687-8e61-3b8b52028b12", "version_id": "ab8f7c13-eaf4-4720-9732-aba611be96fe", "key": "10.1007/JHEP09(2021)185_a.pdf", "size": 565454 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "cond-mat.str-el" ], "value": "2105.12594" } ], "abstracts": [ { "source": "Springer", "value": "WZW models live on a moduli space parameterized by current-current deformations. The moduli space defines an ensemble of conformal field theories, which generically have N abelian conserved currents and central charge c > N. We calculate the average partition function and show that it can be interpreted as a sum over 3-manifolds. This suggests that the ensemble-averaged theory has a holographic dual, generalizing recent results on Narain CFTs. The bulk theory, at the perturbative level, is identified as U(1)2N Chern-Simons theory coupled to additional matter fields. From a mathematical perspective, our principal result is a Siegel-Weil formula for the characters of an affine Lie algebra." } ], "imprints": [ { "date": "2021-09-28", "publisher": "Springer" } ] }