Linearizing extended nonlinear supersymmetry in two dimensional spacetime
We linearize nonlinear supersymmetry in the Volkov–Akulov (VA) theory for extended SUSY in two dimensional spacetime (d=2) based on the commutator algebra. Linear SUSY transformations of basic component fields for general vector supermultiplets are uniquely determined from variations of functionals...
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| Format: | Article |
| Language: | English |
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Elsevier
2019-01-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321318303298 |
| _version_ | 1818047938748743680 |
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| author | Motomu Tsuda |
| author_facet | Motomu Tsuda |
| author_sort | Motomu Tsuda |
| collection | DOAJ |
| description | We linearize nonlinear supersymmetry in the Volkov–Akulov (VA) theory for extended SUSY in two dimensional spacetime (d=2) based on the commutator algebra. Linear SUSY transformations of basic component fields for general vector supermultiplets are uniquely determined from variations of functionals (composites) of Nambu–Goldstone (NG) fermions, which are represented as simple products of powers of the NG fermions and a fundamental determinant in the VA theory. The structure of basic component fields with general auxiliary fields in the vector supermultiplets and transitions to U(1) gauge supermultiplets through recombinations of the functionals of the NG fermions are explicitly shown both in N=2 and N=3 theories as the simplest and general examples for extended SUSY theories in d=2. |
| first_indexed | 2024-12-10T10:13:45Z |
| format | Article |
| id | doaj.art-4482e42ed22e446c8e17f43f5a8b3585 |
| institution | Directory Open Access Journal |
| issn | 0550-3213 |
| language | English |
| last_indexed | 2024-12-10T10:13:45Z |
| publishDate | 2019-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj.art-4482e42ed22e446c8e17f43f5a8b35852022-12-22T01:53:03ZengElsevierNuclear Physics B0550-32132019-01-01938245265Linearizing extended nonlinear supersymmetry in two dimensional spacetimeMotomu Tsuda0Aizu Hokurei High School, Aizuwakamatsu, Fukushima 965-0031, JapanWe linearize nonlinear supersymmetry in the Volkov–Akulov (VA) theory for extended SUSY in two dimensional spacetime (d=2) based on the commutator algebra. Linear SUSY transformations of basic component fields for general vector supermultiplets are uniquely determined from variations of functionals (composites) of Nambu–Goldstone (NG) fermions, which are represented as simple products of powers of the NG fermions and a fundamental determinant in the VA theory. The structure of basic component fields with general auxiliary fields in the vector supermultiplets and transitions to U(1) gauge supermultiplets through recombinations of the functionals of the NG fermions are explicitly shown both in N=2 and N=3 theories as the simplest and general examples for extended SUSY theories in d=2.http://www.sciencedirect.com/science/article/pii/S0550321318303298 |
| spellingShingle | Motomu Tsuda Linearizing extended nonlinear supersymmetry in two dimensional spacetime Nuclear Physics B |
| title | Linearizing extended nonlinear supersymmetry in two dimensional spacetime |
| title_full | Linearizing extended nonlinear supersymmetry in two dimensional spacetime |
| title_fullStr | Linearizing extended nonlinear supersymmetry in two dimensional spacetime |
| title_full_unstemmed | Linearizing extended nonlinear supersymmetry in two dimensional spacetime |
| title_short | Linearizing extended nonlinear supersymmetry in two dimensional spacetime |
| title_sort | linearizing extended nonlinear supersymmetry in two dimensional spacetime |
| url | http://www.sciencedirect.com/science/article/pii/S0550321318303298 |
| work_keys_str_mv | AT motomutsuda linearizingextendednonlinearsupersymmetryintwodimensionalspacetime |