Abstract
We present a simple d=1 model of N=4 suppersymmetric quantum mechanics (SQM) in which N=4 supersymmetry can be spontaneously broken down to N=2. When both SU(2) automorphism symmetries of N=4 1D supertranslation algebra are explicitly broken, this superalgebra acquires a constant central charge proportional to the product of two SU(2) breaking parameters. Due to this crucial property, no contradiction arises with Witten`s theorem forbidding the partial spontaneous supersymmetry breaking in the SQM models based on standard (having no central charges) 1D supertranslation algebras. For the partial breaking to really coeme about, it proves also necessary to consider the most general class of N=4, d=1 SQM Hamiltonians involving the terms quartic in fermion fields. We show that after resulting from certain U(1) invariant N=2 2D Kahler sigma models via the Scherk-Schwarz type dimensional reduction. 14 refs.; 1 fig.
Ivanov, E A;
Krivonos, S O;
[1]
Pashnev, A I
[2]
- Joint Inst. for Nuclear Research, Dubna (USSR). Lab. of Theoretical Physics
- Khar`kovskij Inzhenerno-Stroitel`nyj Inst., Kharkov (Ukraine)
Citation Formats
Ivanov, E A, Krivonos, S O, and Pashnev, A I.
Partial supersymmetry breaking in N=4 supersymmetric quantum mechanics.
USSR: N. p.,
1990.
Web.
Ivanov, E A, Krivonos, S O, & Pashnev, A I.
Partial supersymmetry breaking in N=4 supersymmetric quantum mechanics.
USSR.
Ivanov, E A, Krivonos, S O, and Pashnev, A I.
1990.
"Partial supersymmetry breaking in N=4 supersymmetric quantum mechanics."
USSR.
@misc{etde_10157326,
title = {Partial supersymmetry breaking in N=4 supersymmetric quantum mechanics}
author = {Ivanov, E A, Krivonos, S O, and Pashnev, A I}
abstractNote = {We present a simple d=1 model of N=4 suppersymmetric quantum mechanics (SQM) in which N=4 supersymmetry can be spontaneously broken down to N=2. When both SU(2) automorphism symmetries of N=4 1D supertranslation algebra are explicitly broken, this superalgebra acquires a constant central charge proportional to the product of two SU(2) breaking parameters. Due to this crucial property, no contradiction arises with Witten`s theorem forbidding the partial spontaneous supersymmetry breaking in the SQM models based on standard (having no central charges) 1D supertranslation algebras. For the partial breaking to really coeme about, it proves also necessary to consider the most general class of N=4, d=1 SQM Hamiltonians involving the terms quartic in fermion fields. We show that after resulting from certain U(1) invariant N=2 2D Kahler sigma models via the Scherk-Schwarz type dimensional reduction. 14 refs.; 1 fig.}
place = {USSR}
year = {1990}
month = {Dec}
}
title = {Partial supersymmetry breaking in N=4 supersymmetric quantum mechanics}
author = {Ivanov, E A, Krivonos, S O, and Pashnev, A I}
abstractNote = {We present a simple d=1 model of N=4 suppersymmetric quantum mechanics (SQM) in which N=4 supersymmetry can be spontaneously broken down to N=2. When both SU(2) automorphism symmetries of N=4 1D supertranslation algebra are explicitly broken, this superalgebra acquires a constant central charge proportional to the product of two SU(2) breaking parameters. Due to this crucial property, no contradiction arises with Witten`s theorem forbidding the partial spontaneous supersymmetry breaking in the SQM models based on standard (having no central charges) 1D supertranslation algebras. For the partial breaking to really coeme about, it proves also necessary to consider the most general class of N=4, d=1 SQM Hamiltonians involving the terms quartic in fermion fields. We show that after resulting from certain U(1) invariant N=2 2D Kahler sigma models via the Scherk-Schwarz type dimensional reduction. 14 refs.; 1 fig.}
place = {USSR}
year = {1990}
month = {Dec}
}