Extended Supersymmetries in One Dimension
This work covers part of the material presented at the Advanced Summer School in Prague. It is mostly devoted to the structural properties of Extended Supersymmetries in One Dimension. Several results are presented on the classification of linear, irreducible representations realized on a finite num...
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| Format: | Article |
| Language: | English |
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CTU Central Library
2008-01-01
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| Series: | Acta Polytechnica |
| Subjects: | |
| Online Access: | https://ojs.cvut.cz/ojs/index.php/ap/article/view/965 |
| _version_ | 1828761919437144064 |
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| author | F. Toppan |
| author_facet | F. Toppan |
| author_sort | F. Toppan |
| collection | DOAJ |
| description | This work covers part of the material presented at the Advanced Summer School in Prague. It is mostly devoted to the structural properties of Extended Supersymmetries in One Dimension. Several results are presented on the classification of linear, irreducible representations realized on a finite number of time-dependent fields. The connections between supersymmetry transformations, Clifford algebras and division algebras are discussed. A manifestly supersymmetric framework for constructing invariants without using the notion of superfields is presented. A few examples of one-dimensional, N-extended, off-shell invariant sigma models are computed. The relation between supersymmetry transformations and graph theory is outlined. The notion of the fusion algebra of irreps tensor products is presented. The relevance of one-dimensional Supersymmetric Quantum Mechanics as a way to extract information on higher dimensional supersymmetric field theories is discussed. |
| first_indexed | 2024-12-11T01:37:17Z |
| format | Article |
| id | doaj.art-bba543c7c340404bb77808445f196258 |
| institution | Directory Open Access Journal |
| issn | 1210-2709 1805-2363 |
| language | English |
| last_indexed | 2024-12-11T01:37:17Z |
| publishDate | 2008-01-01 |
| publisher | CTU Central Library |
| record_format | Article |
| series | Acta Polytechnica |
| spelling | doaj.art-bba543c7c340404bb77808445f1962582022-12-22T01:25:11ZengCTU Central LibraryActa Polytechnica1210-27091805-23632008-01-01482965Extended Supersymmetries in One DimensionF. ToppanThis work covers part of the material presented at the Advanced Summer School in Prague. It is mostly devoted to the structural properties of Extended Supersymmetries in One Dimension. Several results are presented on the classification of linear, irreducible representations realized on a finite number of time-dependent fields. The connections between supersymmetry transformations, Clifford algebras and division algebras are discussed. A manifestly supersymmetric framework for constructing invariants without using the notion of superfields is presented. A few examples of one-dimensional, N-extended, off-shell invariant sigma models are computed. The relation between supersymmetry transformations and graph theory is outlined. The notion of the fusion algebra of irreps tensor products is presented. The relevance of one-dimensional Supersymmetric Quantum Mechanics as a way to extract information on higher dimensional supersymmetric field theories is discussed.https://ojs.cvut.cz/ojs/index.php/ap/article/view/965Supersymmetric Quantum MechanicsM-theory |
| spellingShingle | F. Toppan Extended Supersymmetries in One Dimension Acta Polytechnica Supersymmetric Quantum Mechanics M-theory |
| title | Extended Supersymmetries in One Dimension |
| title_full | Extended Supersymmetries in One Dimension |
| title_fullStr | Extended Supersymmetries in One Dimension |
| title_full_unstemmed | Extended Supersymmetries in One Dimension |
| title_short | Extended Supersymmetries in One Dimension |
| title_sort | extended supersymmetries in one dimension |
| topic | Supersymmetric Quantum Mechanics M-theory |
| url | https://ojs.cvut.cz/ojs/index.php/ap/article/view/965 |
| work_keys_str_mv | AT ftoppan extendedsupersymmetriesinonedimension |