SU(2|2) supersymmetric mechanics

Research output: Contribution to journalArticleResearchpeer review

Authors

External Research Organisations

  • Joint Institute for Nuclear Research
View graph of relations

Details

Original languageEnglish
Article number31
JournalJournal of high energy physics
Volume2016
Issue number11
Publication statusPublished - 1 Nov 2016

Abstract

We introduce a new kind of non-relativistic N = 8 supersymmetric mechanics, associated with worldline realizations of the supergroup SU(2|2) treated as a deformation of flat N = 8, d=1 supersymmetry. Various worldline SU(2|2) superspaces are constructed as coset manifolds of this supergroup, and the corresponding superfield techniques are developed. For the off-shell SU(2|2) multiplets (3,8,5), (4,8,4) and (5,8,3), we construct and analyze the most general superfield and component actions. Common features are mass oscillator-type terms proportional to the deformation parameter and a trigonometric realization of the superconformal group OSp(4|4) in the conformal cases. For the simplest (5,8,3) model the quantization is performed.

Keywords

    Conformal and W Symmetry, Extended Supersymmetry, Field Theories in Lower Dimensions, Superspaces

ASJC Scopus subject areas

Cite this

SU(2|2) supersymmetric mechanics. / Ivanov, Evgeny; Lechtenfeld, Olaf; Sidorov, Stepan.
In: Journal of high energy physics, Vol. 2016, No. 11, 31, 01.11.2016.

Research output: Contribution to journalArticleResearchpeer review

Ivanov E, Lechtenfeld O, Sidorov S. SU(2|2) supersymmetric mechanics. Journal of high energy physics. 2016 Nov 1;2016(11):31. doi: 10.1007/JHEP11(2016)031
Ivanov, Evgeny ; Lechtenfeld, Olaf ; Sidorov, Stepan. / SU(2|2) supersymmetric mechanics. In: Journal of high energy physics. 2016 ; Vol. 2016, No. 11.
Download
@article{aa292830ca0649f2a8d0b4d3247e6f3a,
title = "SU(2|2) supersymmetric mechanics",
abstract = "We introduce a new kind of non-relativistic N = 8 supersymmetric mechanics, associated with worldline realizations of the supergroup SU(2|2) treated as a deformation of flat N = 8, d=1 supersymmetry. Various worldline SU(2|2) superspaces are constructed as coset manifolds of this supergroup, and the corresponding superfield techniques are developed. For the off-shell SU(2|2) multiplets (3,8,5), (4,8,4) and (5,8,3), we construct and analyze the most general superfield and component actions. Common features are mass oscillator-type terms proportional to the deformation parameter and a trigonometric realization of the superconformal group OSp(4∗|4) in the conformal cases. For the simplest (5,8,3) model the quantization is performed.",
keywords = "Conformal and W Symmetry, Extended Supersymmetry, Field Theories in Lower Dimensions, Superspaces",
author = "Evgeny Ivanov and Olaf Lechtenfeld and Stepan Sidorov",
note = "Publisher Copyright: {\textcopyright} 2016, The Author(s). Copyright: Copyright 2016 Elsevier B.V., All rights reserved.",
year = "2016",
month = nov,
day = "1",
doi = "10.1007/JHEP11(2016)031",
language = "English",
volume = "2016",
journal = "Journal of high energy physics",
issn = "1126-6708",
publisher = "Springer Verlag",
number = "11",

}

Download

TY - JOUR

T1 - SU(2|2) supersymmetric mechanics

AU - Ivanov, Evgeny

AU - Lechtenfeld, Olaf

AU - Sidorov, Stepan

N1 - Publisher Copyright: © 2016, The Author(s). Copyright: Copyright 2016 Elsevier B.V., All rights reserved.

PY - 2016/11/1

Y1 - 2016/11/1

N2 - We introduce a new kind of non-relativistic N = 8 supersymmetric mechanics, associated with worldline realizations of the supergroup SU(2|2) treated as a deformation of flat N = 8, d=1 supersymmetry. Various worldline SU(2|2) superspaces are constructed as coset manifolds of this supergroup, and the corresponding superfield techniques are developed. For the off-shell SU(2|2) multiplets (3,8,5), (4,8,4) and (5,8,3), we construct and analyze the most general superfield and component actions. Common features are mass oscillator-type terms proportional to the deformation parameter and a trigonometric realization of the superconformal group OSp(4∗|4) in the conformal cases. For the simplest (5,8,3) model the quantization is performed.

AB - We introduce a new kind of non-relativistic N = 8 supersymmetric mechanics, associated with worldline realizations of the supergroup SU(2|2) treated as a deformation of flat N = 8, d=1 supersymmetry. Various worldline SU(2|2) superspaces are constructed as coset manifolds of this supergroup, and the corresponding superfield techniques are developed. For the off-shell SU(2|2) multiplets (3,8,5), (4,8,4) and (5,8,3), we construct and analyze the most general superfield and component actions. Common features are mass oscillator-type terms proportional to the deformation parameter and a trigonometric realization of the superconformal group OSp(4∗|4) in the conformal cases. For the simplest (5,8,3) model the quantization is performed.

KW - Conformal and W Symmetry

KW - Extended Supersymmetry

KW - Field Theories in Lower Dimensions

KW - Superspaces

UR - http://www.scopus.com/inward/record.url?scp=84994803395&partnerID=8YFLogxK

U2 - 10.1007/JHEP11(2016)031

DO - 10.1007/JHEP11(2016)031

M3 - Article

AN - SCOPUS:84994803395

VL - 2016

JO - Journal of high energy physics

JF - Journal of high energy physics

SN - 1126-6708

IS - 11

M1 - 31

ER -

By the same author(s)