# Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry

## Abstract

The analysis previously developed in [J. Math. Phys. 55 102901 (2014)] is used to construct systems which hold invariant under N=2 l-conformal Galilei superalgebra. The models describe two different supersymmetric extensions of a free higher-derivative particle. Their Newton-Hooke counterparts are derived by applying appropriate coordinate transformations.

- Authors:

- Laboratory of Mathematical Physics, Tomsk Polytechnic University, 634050 Tomsk, Lenin Ave. 30 (Russian Federation)

- Publication Date:

- OSTI Identifier:
- 22403110

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Mathematical Physics; Journal Volume: 56; Journal Issue: 2; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MECHANICS; PARTICLES; SUPERSYMMETRY; TRANSFORMATIONS

### Citation Formats

```
Masterov, Ivan, E-mail: masterov@tpu.ru.
```*Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry*. United States: N. p., 2015.
Web. doi:10.1063/1.4909528.

```
Masterov, Ivan, E-mail: masterov@tpu.ru.
```*Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry*. United States. doi:10.1063/1.4909528.

```
Masterov, Ivan, E-mail: masterov@tpu.ru. Sun .
"Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry". United States.
doi:10.1063/1.4909528.
```

```
@article{osti_22403110,
```

title = {Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry},

author = {Masterov, Ivan, E-mail: masterov@tpu.ru},

abstractNote = {The analysis previously developed in [J. Math. Phys. 55 102901 (2014)] is used to construct systems which hold invariant under N=2 l-conformal Galilei superalgebra. The models describe two different supersymmetric extensions of a free higher-derivative particle. Their Newton-Hooke counterparts are derived by applying appropriate coordinate transformations.},

doi = {10.1063/1.4909528},

journal = {Journal of Mathematical Physics},

number = 2,

volume = 56,

place = {United States},

year = {Sun Feb 15 00:00:00 EST 2015},

month = {Sun Feb 15 00:00:00 EST 2015}

}

DOI: 10.1063/1.4909528

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