Deformed ${\cal N}{=}\,8$ mechanics of ${\bf(8,8,0)}$ multiplets
| Autor: | Ivanov, Evgeny, Lechtenfeld, Olaf, Sidorov, Stepan |
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| Rok vydání: | 2018 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/JHEP08(2018)193 |
| Popis: | We construct new models of `curved' SU$(4|1)$ supersymmetric mechanics based on two versions of the off-shell multiplet ${\bf(8,8,0)}$ which are `mirror' to each other. The worldline realizations of the supergroup SU$(4|1)$ are treated as a deformation of flat ${\cal N}{=}\,8$, $d\,{=}\,1$ supersymmetry. Using SU$(4|1)$ chiral superfields, we derive invariant actions for the first-type ${\bf(8,8,0)}$ multiplet, which parametrizes special K\"ahler manifolds. Since we are not aware of a manifestly SU$(4|1)$ covariant superfield formalism for the second-type ${\bf(8,8,0)}$ multiplet, we perform a general construction of SU$(4|1)$ invariant actions for both multiplet types in terms of SU$(2|1)$ superfields. An important class of such actions enjoys superconformal OSp$(8|2)$ invariance. We also build off-shell actions for the SU$(4|1)$ multiplets ${\bf(6,8,2)}$ and ${\bf(7,8,1)}$ through appropriate substitutions for the component fields in the ${\bf(8,8,0)}$ actions. The ${\bf(6,8,2)}$ actions are shown to respect superconformal SU$(4|1,1)$ invariance. Comment: 1+34 pages; v2: section 3 revised, typos corrected, 5 additional references, clarifying comments and acknowledgment added, matches published version |
| Databáze: | arXiv |
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