We study three-dimensional quantum field theories on the interval with symmetry-preserving boundary conditions. The physics and symmetries of the effective 2D theory in the IR are the main subjects of this note. We focus on the (super-)Yang-Mills-Chern-Simons (YM-CS) theories with the Dirichlet boundary conditions on both ends. We warm up with the and cases flowing to the bosonic and WZW models in 2D. Then we study the 3D YM-CS on the interval with the Dirichlet boundaries. It flows to a noncompact version of the WZW. We compute its perturbatively exact two-derivative effective action (i.e., the metric and the B-field), and speculate on the possibility of novel nonperturbative effects. We also construct the 2D Landau-Ginzburg models flowing to the similar sigma models.
{ "_oai": { "updated": "2023-08-26T00:30:40Z", "id": "oai:repo.scoap3.org:79837", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Mykola Dedushenko", "affiliations": [ { "country": "USA", "value": "Simons Center for Geometry and Physics, Stony Brook University, Stony Brook, New York 11794-3636, USA" } ], "surname": "Dedushenko", "given_names": "Mykola", "full_name": "Dedushenko, Mykola" }, { "raw_name": "Mikhail Litvinov", "affiliations": [ { "country": "USA", "value": "Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794-3800, USA and C. N. Yang Institute for Theoretical Physics, Stony Brook University, Stony Brook, New York 11794-3800, USA" } ], "surname": "Litvinov", "given_names": "Mikhail", "full_name": "Litvinov, Mikhail" } ], "titles": [ { "source": "APS", "title": "Supersymmetric reduction of 3D theories on a line segment" } ], "dois": [ { "value": "10.1103/PhysRevD.108.045016" } ], "publication_info": [ { "journal_volume": "108", "journal_title": "Physical Review D", "material": "article", "journal_issue": "4", "year": 2023 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2023-08-26T00:30:04.230261", "source": "APS", "method": "APS", "submission_number": "b0d1207843a711ee91ac6ee2827c7def" }, "page_nr": [ 12 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2023" } ], "control_number": "79837", "record_creation_date": "2023-08-25T18:30:02.604777", "_files": [ { "checksum": "md5:eaed4ff805ca9fbc6b7780e980199d65", "filetype": "pdf", "bucket": "2fa5ae0d-601b-40a3-929e-74eb6ab2c17c", "version_id": "297dea65-e2dd-4566-b14a-c5dc205d70cc", "key": "10.1103/PhysRevD.108.045016.pdf", "size": 295704 }, { "checksum": "md5:f7a14cd469af65f666f8e4e5ae1064c6", "filetype": "xml", "bucket": "2fa5ae0d-601b-40a3-929e-74eb6ab2c17c", "version_id": "b12b7021-af65-442f-ba7c-23f99bc99c87", "key": "10.1103/PhysRevD.108.045016.xml", "size": 286662 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "math-ph", "math.MP" ], "value": "2212.07455" } ], "abstracts": [ { "source": "APS", "value": "We study three-dimensional quantum field theories on the interval with symmetry-preserving boundary conditions. The physics and symmetries of the effective 2D theory in the IR are the main subjects of this note. We focus on the (super-)Yang-Mills-Chern-Simons (YM-CS) theories with the Dirichlet boundary conditions on both ends. We warm up with the <math><mi>N</mi><mo>=</mo><mn>0</mn></math> and <math><mi>N</mi><mo>=</mo><mn>1</mn></math> cases flowing to the bosonic and <math><mi>N</mi><mo>=</mo><mo>(</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>)</mo></math> WZW models in 2D. Then we study the 3D <math><mi>N</mi><mo>=</mo><mn>2</mn></math> YM-CS on the interval with the <math><mi>N</mi><mo>=</mo><mo>(</mo><mn>0</mn><mo>,</mo><mn>2</mn><mo>)</mo></math> Dirichlet boundaries. It flows to a noncompact version of the <math><mi>N</mi><mo>=</mo><mo>(</mo><mn>0</mn><mo>,</mo><mn>2</mn><mo>)</mo></math> WZW. We compute its perturbatively exact two-derivative effective action (i.e., the metric and the B-field), and speculate on the possibility of novel nonperturbative effects. We also construct the 2D Landau-Ginzburg models flowing to the similar sigma models." } ], "imprints": [ { "date": "2023-08-25", "publisher": "APS" } ] }