Электронный каталог

Статья

Krivonos, S.
N = 8 Superconformal Mechanics: Direct Construction / S.Krivonos, A.Nersessian. – Text : electronic // Physics Letters B. – 2025. – Vol. 863. – P. 139373. – URL: https://doi.org/10.1016/j.physletb.2025.139373. – Bibliogr.: 26.

In the present paper we constructed the supercharges and Hamiltonians for all variants of superconformal mechanics associated with the superalgebras 𝑜𝑠𝑝(8|2), F(4), 𝑜𝑠𝑝(4⋆|4), and 𝑠𝑢(1, 1|4). The fermionic and bosonic fields involved were arranged into generators spanning 𝑠𝑜(8), 𝑠𝑜(7), 𝑠𝑜(5) ⊕ 𝑠𝑢(2) and 𝑠𝑢(4) ⊕ 𝑢(1) 𝑅-symmetry currents of the corresponding superconformal algebras. The bosonic and fermionic parts of these 𝑅-symmetry generators separately define the constants of motion and form the same algebras. The angular part of the supercharges defining the system have the structure “(𝑅 − 𝑠𝑦𝑚𝑚𝑒𝑡𝑟𝑦 𝑔𝑒𝑛𝑒𝑟𝑎𝑡𝑜𝑟𝑠) × 𝑓 𝑒𝑟𝑚𝑖𝑜𝑛𝑠” while the angular part of Hamiltonian is just a proper sum of full Casimir operators and its purely bosonic and fermionic parts. We also constructed the explicit embedding of the algebras 𝑠𝑜(7), 𝑠𝑜(5) × 𝑠𝑢(2), and 𝑠𝑢(4) × 𝑢(1) into 𝑠𝑜(8), which provide the possibility to explicitly construct the corresponding supercharges.



Спец.(статьи,препринты) = С 324.1е - Суперсимметричные теории. Супергравитация. Суперструны$
ОИЯИ = ОИЯИ (JINR)2025