(Super)Schwarzian mechanics

Kozyrev, Nikolay; Krivonos, Sergey

doi:10.1007/JHEP03(2022)120

(Super)Schwarzian mechanics

Nikolay Kozyrev
(
- Dubna, JINR
)
,
Sergey Krivonos
(
- Dubna, JINR
)

Nov 8, 2021

26 pages

Published in:

JHEP 03 (2022) 120

Published: Mar 21, 2022

e-Print:

2111.04643 [hep-th]

DOI:

10.1007/JHEP03(2022)120

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Abstract: (Springer)

In this paper we revisit the construction of supersymmetric Schwarzians using nonlinear realizations. We show that

\mathcal{N}

= 0, 1, 2, 3, 4 supersymmetric Schwarzians can be systematically obtained as certain projections of Maurer-Cartan forms of superconformal groups after imposing simple conditions on them. We also present the supersymmetric Schwarzian actions defined as the integrals of products of Cartan forms. In contrast with the previous attempts to obtain the super-Schwarzians within nonlinear realizations technique, our set of constraints does not impose any restriction on the super-Schwarzians.

Note:

26 pages, 0 figures, typeset in JHEP style; v3: version accepted by JHEP

Conformal and W Symmetry
Extended Supersymmetry
Conformal Field Theory
2D Gravity
representation: nonlinear
group: conformal
supersymmetry
mechanics
Cartan
differential geometry

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