In this paper we provide a universal description of the behavior of the basic operators of the Schwarzian theory in pure states. When the pure states are energy eigenstates, expectation values of non-extensive operators are thermal. On the other hand, in coherent pure states, these same operators can exhibit ergodic or non-ergodic behavior, which is characterized by elliptic, parabolic or hyperbolic monodromy of an auxiliary equation; or equivalently, which coadjoint Virasoro orbit the state lies on. These results allow us to establish an extended version of the eigenstate thermalization hypothesis (ETH) in theories with a Schwarzian sector. We also elucidate the role of FZZT-type boundary conditions in the Schwarzian theory, shedding light on the physics of microstates associated with ZZ branes and FZZT branes in low dimensional holography.
{ "_oai": { "updated": "2022-03-03T05:18:33Z", "id": "oai:repo.scoap3.org:53566", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "USA", "value": "Department of Physics & Astronomy, University of Kentucky, 505 Rose St, Lexington, KY, U.S.A.", "organization": "University of Kentucky" } ], "surname": "Nayak", "email": "pranjal.nayak@uky.edu", "full_name": "Nayak, Pranjal", "given_names": "Pranjal" }, { "affiliations": [ { "country": "Switzerland", "value": "Department of Theoretical Physics, University of Geneva, 24 quai Ernest-Ansermet, Gen\u00e8ve, 1211 Gen\u00e8ve 4, Switzerland", "organization": "University of Geneva" } ], "surname": "Sonner", "email": "julian.sonner@unige.ch", "full_name": "Sonner, Julian", "given_names": "Julian" }, { "affiliations": [ { "country": "Switzerland", "value": "Department of Theoretical Physics, University of Geneva, 24 quai Ernest-Ansermet, Gen\u00e8ve, 1211 Gen\u00e8ve 4, Switzerland", "organization": "University of Geneva" } ], "surname": "Vielma", "email": "manuel.vielma@unige.ch", "full_name": "Vielma, Manuel", "given_names": "Manuel" } ], "titles": [ { "source": "Springer", "title": "Extended eigenstate thermalization and the role of FZZT branes in the Schwarzian theory" } ], "dois": [ { "value": "10.1007/JHEP03(2020)168" } ], "publication_info": [ { "page_end": "40", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2020", "artid": "JHEP03(2020)168", "year": 2020, "page_start": "1", "journal_issue": "3" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2021-05-05T18:31:06.064787", "source": "Springer", "method": "Springer", "submission_number": "e675341eadcf11eba0e30a580a641584" }, "page_nr": [ 40 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2021" } ], "control_number": "53566", "record_creation_date": "2020-03-31T08:30:33.586499", "_files": [ { "checksum": "md5:b660587bf8cad9b9fa2865fbc324dc5e", "filetype": "xml", "bucket": "27979d76-c400-499a-950f-b14735926e62", "version_id": "37e9c7ce-0f1e-435a-9cf8-83d25bfe6887", "key": "10.1007/JHEP03(2020)168.xml", "size": 12149 }, { "checksum": "md5:dd377aff4ebf9a1fc9e944df189ec567", "filetype": "pdf/a", "bucket": "27979d76-c400-499a-950f-b14735926e62", "version_id": "a47fdb43-9683-4191-b77f-1c171b8ef0ec", "key": "10.1007/JHEP03(2020)168_a.pdf", "size": 1090317 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "cond-mat.str-el" ], "value": "1907.10061" } ], "abstracts": [ { "source": "Springer", "value": "In this paper we provide a universal description of the behavior of the basic operators of the Schwarzian theory in pure states. When the pure states are energy eigenstates, expectation values of non-extensive operators are thermal. On the other hand, in coherent pure states, these same operators can exhibit ergodic or non-ergodic behavior, which is characterized by elliptic, parabolic or hyperbolic monodromy of an auxiliary equation; or equivalently, which coadjoint Virasoro orbit the state lies on. These results allow us to establish an extended version of the eigenstate thermalization hypothesis (ETH) in theories with a Schwarzian sector. We also elucidate the role of FZZT-type boundary conditions in the Schwarzian theory, shedding light on the physics of microstates associated with ZZ branes and FZZT branes in low dimensional holography." } ], "imprints": [ { "date": "2020-03-27", "publisher": "Springer" } ] }