SU$(2|1)$ supersymmetric spinning models of chiral superfields

Stepan Sidorov

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SU$(2|1)$ supersymmetric spinning models of chiral superfields

Stepan Sidorov

High Energy Physics - Theory · Submitted 2 Mar 2020

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We construct SU$(2|1)$, $d=1$ supersymmetric models based on the coupling of dynamical and semi-dynamical (spin) multiplets, where the interaction term of both multiplets is defined on the generalized chiral superspace.

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We construct SU$(2|1)$, $d=1$ supersymmetric models based on the coupling of dynamical and semi-dynamical (spin) multiplets, where the interaction term of both multiplets is defined on the generalized chiral superspace. The dynamical multiplet is defined as a chiral multiplet ${\bf (2,4,2)}$, while the semi-dynamical multiplet is associated with a multiplet ${\bf (4,4,0)}$ of the mirror type.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We construct SU$(2\|1)$, $d=1$ supersymmetric models based on the coupling of dynamical and semi-dynamical (spin) multiplets, where the interaction term of both multiplets is defined on the generalized chiral superspace.	contribution 0.98	0.94	0.35	asserted 1.00
s1	The dynamical multiplet is defined as a chiral multiplet ${\bf (2,4,2)}$, while the semi-dynamical multiplet is associated with a multiplet ${\bf (4,4,0)}$ of the mirror type.	method 0.69	0.71	0.09	asserted 1.00

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Original abstract

We construct SU$(2|1)$, $d=1$ supersymmetric models based on the coupling of dynamical and semi-dynamical (spin) multiplets, where the interaction term of both multiplets is defined on the generalized chiral superspace. The dynamical multiplet is defined as a chiral multiplet ${\bf (2,4,2)}$, while the semi-dynamical multiplet is associated with a multiplet ${\bf (4,4,0)}$ of the mirror type.

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2 arXiv papers cite this in 2 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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Builds on 1 paper

Let us consider the model on the coset space SU$(1,1)$/U$(1)$, that is in fact a deformation of the model studied in [ref] .

N=4 chiral supermultiplet interacting with a magnetic field · Model on SU(1,1)/U(1) · 0.89

Uses the method or tool of 3 papers

Quantization of supersymmetric spinning models can be performed under the prescription of [ref] (see also [ref] ).

OSp(4|2) Superconformal Mechanics · Hamiltonian and Noether charges · 0.93
Quantization of supersymmetric spinning models can be performed under the prescription of [ref] (see also [ref] ).

Deformed supersymmetric quantum mechanics with spin variables · Hamiltonian and Noether charges · 0.93
Quantization of supersymmetric spinning models can be performed under the prescription of [ref] (see also [ref] ).

Quantum SU(2$|$1) supersymmetric Calogero-Moser spinning systems · Hamiltonian and Noether charges · 0.93

Compares with 2 papers

Thus, it can be interpreted as a mirror counterpart of the “topological” gauge multiplet [ref] described by the harmonic superfield $V^++$ in the WZ gauge.

Gauging N=4 Supersymmetric Mechanics · Gauged mirror multiplet (4,4,0) · 0.83
In distinct from [ref] , the Hamiltonian [ref] contains terms ($∼msin2λ$) breaking the target space symmetry SU$(1,1)$.

N=4 chiral supermultiplet interacting with a magnetic field · Model on SU(1,1)/U(1) · 0.99

Cites as background 3 papers

Nersessian in [ref] .

(Super)Oscillator on CP(N) and Constant Magnetic Field · Introduction · 0.99
This term is identified with WZ term and involves semi-dynamical spin variables [Some recent $N=4$ deformed and undeformed supersymmetric models with spin variables were studied at the component level in [ref] .].

SU(2$|$1) supersymmetric mechanics on curved spaces · Introduction · 0.89
Recently, particular superintegrable Kähler oscillator models were considered [ref] .

$\mathbb{C}^N$-Smorodinsky-Winternitz system in a constant magnetic field · Introduction · 0.86

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