TY - JOUR

T1 - Quaternion-Kähler N = 4 supersymmetric mechanics

AU - Ivanov, Evgeny

AU - Mezincescu, Luca

N1 - Funding Information:
We thank Sergey Fedoruk for useful discussions. The work of EI was partly supported by RFBR grant No 15-02-06670 and a grant of the Ministry of Education and Science of Russian Federation No 3.1386.2017. He is thankful to Murat Günaydin for reviving his interest in supersymmetric QK mechanics. This study was started during the visit of LM to the Bogoliubov Laboratory of Theoretical Physics. He is very indebted to Bogoliubov LTP at JINR -Dubna, for hospitality and partial support.

PY - 2017/12/1

Y1 - 2017/12/1

N2 - Using the N = 4, 1D harmonic superspace approach, we construct a new type of N = 4 supersymmetric mechanics involving 4n-dimensional Quaternion-Kähler (QK) 1D sigma models as the bosonic core. The basic ingredients of our construction are localN = 4,1D supersymmetry realized by the appropriate transformations in 1D harmonic superspace, the general N = 4, 1D superfield vielbein and a set of 2(n + 1) analytic “matter” superfields representing (n + 1) off-shell supermultiplets (4, 4, 0). Both superfield and component actions are given for the simplest QK models with the manifolds ℍHn = Sp(1, n)/[Sp(1) × Sp(n)] and ℍPn = Sp(1 + n)/[Sp(1) × Sp(n)] as the bosonic targets. For the general case the relevant superfield action and constraints on the (4, 4, 0) “matter” superfields are presented. Further generalizations are briefly discussed.

AB - Using the N = 4, 1D harmonic superspace approach, we construct a new type of N = 4 supersymmetric mechanics involving 4n-dimensional Quaternion-Kähler (QK) 1D sigma models as the bosonic core. The basic ingredients of our construction are localN = 4,1D supersymmetry realized by the appropriate transformations in 1D harmonic superspace, the general N = 4, 1D superfield vielbein and a set of 2(n + 1) analytic “matter” superfields representing (n + 1) off-shell supermultiplets (4, 4, 0). Both superfield and component actions are given for the simplest QK models with the manifolds ℍHn = Sp(1, n)/[Sp(1) × Sp(n)] and ℍPn = Sp(1 + n)/[Sp(1) × Sp(n)] as the bosonic targets. For the general case the relevant superfield action and constraints on the (4, 4, 0) “matter” superfields are presented. Further generalizations are briefly discussed.

KW - Differential and Algebraic Geometry

KW - Extended Supersymmetry

KW - Gauge Symmetry

KW - Superspaces

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U2 - 10.1007/JHEP12(2017)016

DO - 10.1007/JHEP12(2017)016

M3 - Article

AN - SCOPUS:85037671342

VL - 2017

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 12

M1 - 16

ER -