{"corpus_id":119412075,"paper_sha":"cea944373dc05eadfe94604071e41216f6ab551a","doi":"10.1016/j.nuclphysb.2006.12.025","arxiv_id":"hep-th/0610001","pmid":null,"pmcid":null,"mag_id":1999868362,"dblp_id":null,"acl_id":null,"title":"Dipole-Deformed Bound States and Heterotic Kodaira Surfaces","year":2006,"publication_date":"2006-10-01","venue":"","journal":{"name":"Nuclear Physics","pages":"1-30","volume":"769"},"journal_issn":null,"journal_title":null,"publication_types":[],"pubmed_pub_types":null,"s2_fields_of_study":["Physics"],"reference_count":74,"citation_count":20,"influential_citation_count":0,"is_open_access":true,"arxiv_categories":["hep-th"],"arxiv_license":null,"arxiv_journal_ref":"Nucl.Phys.B769:1-30,2007","mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":"http://arxiv.org/pdf/hep-th/0610001","s2_open_access_landing_url":"https://www.semanticscholar.org/paper/cea944373dc05eadfe94604071e41216f6ab551a","s2_open_access_license":null,"s2_open_access_status":"GREEN","pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"Abstract We study a particular N = 1 confining gauge theory with fundamental flavors realised as seven branes in the background of wrapped five branes on a rigid two-cycle of a non-trivial global geometry. In parts of the moduli space, the five branes form bound states with the seven branes. We show that in this regime the local supergravity solution is surprisingly tractable, even though the background topology is non-trivial. New effects such as dipole deformations may be studied in detail, including the full backreactions. Performing the dipole deformations in other ways leads to different warped local geometries. In the dual heterotic picture, which is locally given by a C * fibration over a Kodaira surface, we study details of the geometry and the construction of bundles. We also point out the existence of certain exotic bundles in our framework.","claims":[{"public_id":"cl_079f016157439678d1648fcca4def44d","status":"active","text":"Alternative ways of performing the dipole deformations produce different warped local geometries.","confidence":0.88,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_079f016157439678d1648fcca4def44d"},{"public_id":"cl_9d2b0dc9a688ac939a5b9dc45b04d38e","status":"active","text":"Certain exotic bundles exist in the proposed heterotic framework.","confidence":0.87,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_9d2b0dc9a688ac939a5b9dc45b04d38e"},{"public_id":"cl_78eee4d5ce9d0f16d0f69efcacbea92c","status":"active","text":"Dipole deformations and their full backreactions can be analyzed in detail in this setup.","confidence":0.93,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_78eee4d5ce9d0f16d0f69efcacbea92c"},{"public_id":"cl_45d58dc9b7c3be14c1f537379be15e93","status":"active","text":"In part of the moduli space, the five branes form bound states with the seven branes in the confining gauge theory realization.","confidence":0.96,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_45d58dc9b7c3be14c1f537379be15e93"},{"public_id":"cl_8eccd2927d5480c8decc35e77493f01b","status":"active","text":"The dual heterotic description is locally a C * fibration over a Kodaira surface, and the geometry and bundle construction are analyzed there.","confidence":0.94,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_8eccd2927d5480c8decc35e77493f01b"},{"public_id":"cl_f74aa91092a83c35725774ba8b9379cd","status":"active","text":"The local supergravity solution is tractable in the bound-state regime despite the non-trivial background topology.","confidence":0.9,"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/claims/cl_f74aa91092a83c35725774ba8b9379cd"}],"concepts":[{"public_id":"co_111354e90a1c8d4f1690cf27caad928c","status":"active","name":"rigid two-cycle","description":"A non-deformable two-dimensional cycle wrapped by the five branes.","types":["cycle","geometry"],"aliases":["rigid 2-cycle"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_111354e90a1c8d4f1690cf27caad928c"},{"public_id":"co_203ef7edd62a9d8c24da01a6e1764cd0","status":"active","name":"fundamental flavors","description":"Matter fields in the fundamental representation coupled to the gauge theory.","types":["matter content"],"aliases":["flavors"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_203ef7edd62a9d8c24da01a6e1764cd0"},{"public_id":"co_275f40e6b13f2a69724642d8ede3e09d","status":"active","name":"bound states","description":"Composite configurations formed when the five branes bind with the seven branes.","types":["state"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_275f40e6b13f2a69724642d8ede3e09d"},{"public_id":"co_4cfa874842cfa08a30495603ddf8860d","status":"active","name":"warped local geometries","description":"Local geometries with warp factors induced by the brane and deformation setup.","types":["geometry"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_4cfa874842cfa08a30495603ddf8860d"},{"public_id":"co_5ff53809de9a6f20858e78c45fbf4d49","status":"active","name":"backreactions","description":"The changes in the background geometry and fields caused by the deformed brane configuration.","types":["effect"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_5ff53809de9a6f20858e78c45fbf4d49"},{"public_id":"co_68d8d96687f2f4ddc9e2e5a169449ff9","status":"active","name":"N = 1 confining gauge theory","description":"A supersymmetric gauge theory with N = 1 supersymmetry that exhibits confinement.","types":["theory","gauge theory"],"aliases":["N=1 confining gauge theory"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_68d8d96687f2f4ddc9e2e5a169449ff9"},{"public_id":"co_696b747430cc582c8fd8ee66dc3cd67c","status":"active","name":"heterotic picture","description":"The dual heterotic string-theory description of the configuration.","types":["theory","dual description"],"aliases":["heterotic dual"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_696b747430cc582c8fd8ee66dc3cd67c"},{"public_id":"co_7a767921ee31a74df84bc5789b8b546c","status":"active","name":"Kodaira surface","description":"The surface over which the local fibration is defined in the heterotic dual.","types":["surface","geometry"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_7a767921ee31a74df84bc5789b8b546c"},{"public_id":"co_7ad82a1285da01e57073ab491bff9ba8","status":"active","name":"seven branes","description":"Seven-dimensional branes used here to realize flavor degrees of freedom.","types":["brane"],"aliases":["7-branes"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_7ad82a1285da01e57073ab491bff9ba8"},{"public_id":"co_8358ccd8c918af5f833f2f95074c69e6","status":"active","name":"dipole deformations","description":"Deformations that modify the brane or field-theory setup by introducing dipole-like structure.","types":["deformation","method"],"aliases":["dipole deformation"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_8358ccd8c918af5f833f2f95074c69e6"},{"public_id":"co_9fecdce8b78fe1d3ab8e746f873a6fce","status":"active","name":"non-trivial global geometry","description":"The global background geometry with nontrivial topology in which the brane configuration is embedded.","types":["geometry"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_9fecdce8b78fe1d3ab8e746f873a6fce"},{"public_id":"co_af6c8b9145f647f70a32e6648a932212","status":"active","name":"five branes","description":"Five-dimensional branes that wrap a rigid two-cycle in the background geometry.","types":["brane"],"aliases":["5-branes"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_af6c8b9145f647f70a32e6648a932212"},{"public_id":"co_c9578eb082dc02c9d6fc54f9c3487dcf","status":"active","name":"bundles","description":"Geometric or gauge bundles constructed in the heterotic framework.","types":["bundle"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_c9578eb082dc02c9d6fc54f9c3487dcf"},{"public_id":"co_d7c8e4996ebf2ea962d45a674821e3b9","status":"active","name":"local supergravity solution","description":"The local gravitational solution describing the brane background in supergravity.","types":["solution","gravity"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_d7c8e4996ebf2ea962d45a674821e3b9"},{"public_id":"co_ea987c9b4f4db1646e5c4369abc446a5","status":"active","name":"C * fibration","description":"A local fibration structure over the Kodaira surface in the heterotic description.","types":["fibration","geometry"],"aliases":["C* fibration","C-star fibration"],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_ea987c9b4f4db1646e5c4369abc446a5"},{"public_id":"co_f30e00507b6d1896f044cbba8fbf070f","status":"active","name":"exotic bundles","description":"Bundles with unusual or nonstandard properties identified in the framework.","types":["bundle"],"aliases":[],"contributors":[{"id":1,"public_id":"12632b8b5f","public_label":"Anonymous (12632b8b5f)","roles":["extraction"],"url":"https://sah.borca.ai/u/12632b8b5f"}],"url":"https://sah.borca.ai/concepts/co_f30e00507b6d1896f044cbba8fbf070f"}],"external_ids":{"DOI":"10.1016/j.nuclphysb.2006.12.025","ArXiv":"hep-th/0610001","PubMed":null,"PubMedCentral":null,"MAG":1999868362,"DBLP":null,"ACL":null},"open_access":{"is_open_access":true,"pdf_url":"http://arxiv.org/pdf/hep-th/0610001","landing_url":"https://www.semanticscholar.org/paper/cea944373dc05eadfe94604071e41216f6ab551a","source":"semantic_scholar","pdf_url_source":"semantic_scholar_open_access_pdf","license":null,"status":"GREEN","reason":null},"reference_availability":{"status":"available","references_indexed":true,"full_text_available":true,"full_text_source":"arxiv","count_basis":"semantic_scholar_metadata","extraction_status":"not_applicable","reason":null},"source":{"provider":"episteme2","base_corpus":"semantic_scholar_dump","freshness_mode":"unknown","basis":["semantic_scholar_metadata","postgres_metadata"],"limits":["paper metadata is based on indexed upstream scholarly datasets","claims and concepts are available only for extracted papers","absence of claims or concepts means no extracted graph data is available in this response"],"status":"available","degraded":false,"degraded_reasons":[],"diagnostics":{"status":"available","degraded":false,"degraded_reasons":[],"metadata_status":"available","graph_status":"available","abstract_status":"available"},"source_flags":1},"paper_id":631320,"paper_uid":"61825f3f-e00e-4a33-b03b-c6b98e712da7","canonical_identity":{"paper_id":631320,"paper_uid":"61825f3f-e00e-4a33-b03b-c6b98e712da7","identity_status":"available","lookup_basis":"semantic_scholar_external_id","compatibility_path":"corpus_id"},"url":"https://sah.borca.ai/papers/119412075"}