Notes on superconformal representations in two dimensions
We study global subalgebras of superconformal algebras in two dimensions and their unitary representations. Global superconformal multiplets are decomposed into conformal multiplets using Racah-Speiser algorithm, revealing many essential aspects of superconformal theories such as stress-energy tenso...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2020-07-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S055032132030119X |
| _version_ | 1819106701359448064 |
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| author | Siyul Lee Sungjay Lee |
| author_facet | Siyul Lee Sungjay Lee |
| author_sort | Siyul Lee |
| collection | DOAJ |
| description | We study global subalgebras of superconformal algebras in two dimensions and their unitary representations. Global superconformal multiplets are decomposed into conformal multiplets using Racah-Speiser algorithm, revealing many essential aspects of superconformal theories such as stress-energy tensor, conserved current, supersymmetric deformation and supersymmetry enhancement. Character formulae for the representations are presented. We further find a collection of conserved charges that are k-forms under the R-symmetry, which must be part of the super Virasoro algebra with N≥3 supersymmetries. |
| first_indexed | 2024-12-22T02:42:19Z |
| format | Article |
| id | doaj.art-6379af6637324cd5858ba41532ea00d6 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-22T02:42:19Z |
| publishDate | 2020-07-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-6379af6637324cd5858ba41532ea00d62022-12-21T18:41:36ZengElsevierNuclear Physics B0550-32132020-07-01956115033Notes on superconformal representations in two dimensionsSiyul Lee0Sungjay Lee1Department of Physics and Leinweber Center for Theoretical Physics, University of Michigan, Ann Arbor, MI 48109, USA; Department of Physics and Astronomy, Seoul National University, Seoul 08826, Republic of KoreaKorea Institute for Advanced Study, 85 Hoegiro, Dongdaemun-Gu, Seoul 02455, Republic of Korea; Corresponding author.We study global subalgebras of superconformal algebras in two dimensions and their unitary representations. Global superconformal multiplets are decomposed into conformal multiplets using Racah-Speiser algorithm, revealing many essential aspects of superconformal theories such as stress-energy tensor, conserved current, supersymmetric deformation and supersymmetry enhancement. Character formulae for the representations are presented. We further find a collection of conserved charges that are k-forms under the R-symmetry, which must be part of the super Virasoro algebra with N≥3 supersymmetries.http://www.sciencedirect.com/science/article/pii/S055032132030119X |
| spellingShingle | Siyul Lee Sungjay Lee Notes on superconformal representations in two dimensions Nuclear Physics B |
| title | Notes on superconformal representations in two dimensions |
| title_full | Notes on superconformal representations in two dimensions |
| title_fullStr | Notes on superconformal representations in two dimensions |
| title_full_unstemmed | Notes on superconformal representations in two dimensions |
| title_short | Notes on superconformal representations in two dimensions |
| title_sort | notes on superconformal representations in two dimensions |
| url | http://www.sciencedirect.com/science/article/pii/S055032132030119X |
| work_keys_str_mv | AT siyullee notesonsuperconformalrepresentationsintwodimensions AT sungjaylee notesonsuperconformalrepresentationsintwodimensions |