English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

We suggest the $su(1,N|M)$-superconformal mechanics formulated in terms ofphase superspace given by the non-compact analogue of complex projectivesuperspace $\mathbb{CP}^{N|M}$. We parameterized this phase space by thespecific coordinates allowing to interpret it as a higher-dimensionalsuper-analogue of the Lobachevsky plane parameterized by lower half-plane(Klein model). Then we introduced the canonical coordinates corresponding tothe known separation of the "radial" and "angular" parts of (super)conformalmechanics. Relating the "angular" coordinates with action-angle variables wedemonstrated that proposed scheme allows to construct the $su(1,N|M)$supeconformal extensions of wide class of superintegrable systems. We alsoproposed the superintegrable oscillator- and Coulomb- like systems with a$su(1,N|M)$ dynamical superalgebra, and found that oscillator-like systemsadmit deformed $\mathcal{N}=2M$ Poincar\'e supersymmetry, in contrast withCoulomb-like ones.

K\"ahler geometry for $su(1,N|M)$-superconformal mechanics