Classical impurities associated to high rank algebras
Classical integrable impurities associated with high rank () algebras are investigated. A particular prototype, i.e. the vector non-linear Schrödinger (NLS) model, is chosen as an example. A systematic construction of local integrals of motion as well as the time components of the corresponding Lax...
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nemertes-10889-114802022-09-05T09:40:11Z Classical impurities associated to high rank algebras Δόικου, Αναστασία Doikou, Anastasia Non-linear Schrödinger Lax pairs Classical algebra SCOAP3 Κλασική άλγεβρα Classical integrable impurities associated with high rank () algebras are investigated. A particular prototype, i.e. the vector non-linear Schrödinger (NLS) model, is chosen as an example. A systematic construction of local integrals of motion as well as the time components of the corresponding Lax pairs is presented based on the underlying classical algebra. Suitable gluing conditions compatible with integrability are also extracted. The defect contribution is also examined in the case where non-trivial integrable conditions are implemented. It turns out that the integrable boundaries may drastically alter the bulk behavior, and in particular the defect contribution. 2018-08-01T06:18:47Z 2018-08-01T06:18:47Z 2014-04 Journal (paper) Doikou, A. (2014). "Classical impurities associated to high rank algebras". Nuclear Physics B, 884, 142-156. doi:https://doi.org/10.1016/j.nuclphysb.2014.04.022 10.1016/j.nuclphysb.2014.04.022 http://hdl.handle.net/10889/11480 en application/pdf Nuclear physics B |
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Nemertes |
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English |
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Non-linear Schrödinger Lax pairs Classical algebra SCOAP3 Κλασική άλγεβρα |
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Non-linear Schrödinger Lax pairs Classical algebra SCOAP3 Κλασική άλγεβρα Δόικου, Αναστασία Classical impurities associated to high rank algebras |
description |
Classical integrable impurities associated with high rank () algebras are investigated. A particular prototype, i.e. the vector non-linear Schrödinger (NLS) model, is chosen as an example. A systematic construction of local integrals of motion as well as the time components of the corresponding Lax pairs is presented based on the underlying classical algebra. Suitable gluing conditions compatible with integrability are also extracted. The defect contribution is also examined in the case where non-trivial integrable conditions are implemented. It turns out that the integrable boundaries may drastically alter the bulk behavior, and in particular the defect contribution. |
author2 |
Doikou, Anastasia |
author_facet |
Doikou, Anastasia Δόικου, Αναστασία |
format |
Journal (paper) |
author |
Δόικου, Αναστασία |
author_sort |
Δόικου, Αναστασία |
title |
Classical impurities associated to high rank algebras |
title_short |
Classical impurities associated to high rank algebras |
title_full |
Classical impurities associated to high rank algebras |
title_fullStr |
Classical impurities associated to high rank algebras |
title_full_unstemmed |
Classical impurities associated to high rank algebras |
title_sort |
classical impurities associated to high rank algebras |
publishDate |
2018 |
url |
http://hdl.handle.net/10889/11480 |
work_keys_str_mv |
AT doikouanastasia classicalimpuritiesassociatedtohighrankalgebras |
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