We investigate the existence of solutions with 16 supersymmetries to Type IIB supergravity on a spacetime of the form AdS 2 × S 5 × S 1 warped over a two-dimensional Riemann surface Σ. The existence of the Lie superalgebra SU(1, 1|4) ⊂ PSU(2, 2|4), whose maximal bosonic subalgebra is SO(1, 2)⊕SO(6)⊕SO(2), motivates the search for half-BPS solutions with this isometry that are asymptotic to AdS 5 ×S 5. We reduce the BPS equations to the Ansatz for the bosonic fields and supersymmetry generators compatible with these symmetries, then show that the only non-trivial solution is the maximally supersymmetric solution AdS 5 × S 5. We argue that this implies that no solutions exist for fully back-reacted D7 probe or D7/D3 intersecting branes whose near-horizon limit is of the form AdS 2 × S 5 × S 1 × Σ.
{ "_oai": { "updated": "2021-03-04T21:30:33Z", "id": "oai:repo.scoap3.org:60519", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "USA", "value": "Mani L. Bhaumik Institute for Theoretical Physics, Department of Physics and Astronomy, University of California, Los Angeles, 475 Portola Plaza, Los Angeles, CA, 90095, USA", "organization": "Department of Physics and Astronomy, University of California, Los Angeles" } ], "surname": "Corbino", "email": "corbino@physics.ucla.edu", "full_name": "Corbino, David", "given_names": "David" } ], "titles": [ { "source": "Springer", "title": "Warped AdS 2 and SU(1, 1|4) symmetry in Type IIB" } ], "dois": [ { "value": "10.1007/JHEP03(2021)060" } ], "publication_info": [ { "page_end": "26", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2021", "artid": "JHEP03(2021)060", "year": 2021, "page_start": "1", "journal_issue": "3" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2021-03-04T22:30:18.443175", "source": "Springer", "method": "Springer", "submission_number": "c632b9e47d3011ebbd0e02163e01809a" }, "page_nr": [ 26 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2021" } ], "control_number": "60519", "record_creation_date": "2021-03-04T22:30:18.443201", "_files": [ { "checksum": "md5:cb9b52e901838f28269012ba862d479c", "filetype": "xml", "bucket": "444fe85f-637b-4f49-935b-8168c9fa7f00", "version_id": "a1876b53-6af2-4985-af3e-0e421fe13d2e", "key": "10.1007/JHEP03(2021)060.xml", "size": 11032 }, { "checksum": "md5:20f2325338e987f29b3bba42f8fcd1d4", "filetype": "pdf/a", "bucket": "444fe85f-637b-4f49-935b-8168c9fa7f00", "version_id": "990393a3-bff0-407b-b3d9-b8c4ad9e4d6c", "key": "10.1007/JHEP03(2021)060_a.pdf", "size": 435282 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th" ], "value": "2004.12613" } ], "abstracts": [ { "source": "Springer", "value": "We investigate the existence of solutions with 16 supersymmetries to Type IIB supergravity on a spacetime of the form AdS 2 \u00d7 S 5 \u00d7 S 1 warped over a two-dimensional Riemann surface \u03a3. The existence of the Lie superalgebra SU(1, 1|4) \u2282 PSU(2, 2|4), whose maximal bosonic subalgebra is SO(1, 2)\u2295SO(6)\u2295SO(2), motivates the search for half-BPS solutions with this isometry that are asymptotic to AdS 5 \u00d7S 5. We reduce the BPS equations to the Ansatz for the bosonic fields and supersymmetry generators compatible with these symmetries, then show that the only non-trivial solution is the maximally supersymmetric solution AdS 5 \u00d7 S 5. We argue that this implies that no solutions exist for fully back-reacted D7 probe or D7/D3 intersecting branes whose near-horizon limit is of the form AdS 2 \u00d7 S 5 \u00d7 S 1 \u00d7 \u03a3." } ], "imprints": [ { "date": "2021-03-04", "publisher": "Springer" } ] }