Supersymmetry and the spontaneous breakdown of PT symmetry

Clare Dunning; Patrick Dorey; Roberto Tateo

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Supersymmetry and the spontaneous breakdown of PT symmetry

Patrick Dorey, Clare Dunning, Roberto Tateo

High Energy Physics - Theory · Submitted 12 Apr 2001

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The authors' main claim In this letter we discuss a family of models for which this phenomenon is also linked with an explicit breaking of supersymmetry.

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arXiv IDhep-th/0104119 (version 3)

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CitationClare Dunning, Patrick Dorey, Roberto Tateo. "Supersymmetry and the spontaneous breakdown of PT symmetry." arXiv:hep-th/0104119 (2001). https://pith.science/paper/QBWQXHK4

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The appearances of complex eigenvalues in the spectra of PT-symmetric quantum-mechanical systems are usually associated with a spontaneous breaking of PT. In this letter we discuss a family of models for which this phenomenon is also linked with an explicit breaking of supersymmetry. Exact level-crossings are located, and connections with N-fold supersymmetry and quasi-exact solvability in certain special cases are pointed out.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The appearances of complex eigenvalues in the spectra of PT-symmetric quantum-mechanical systems are usually associated with a spontaneous breaking of PT.	background 1.00	0.05	0.08	asserted 0.73
s1	In this letter we discuss a family of models for which this phenomenon is also linked with an explicit breaking of supersymmetry.	contribution 0.97	0.80	0.62	asserted 0.96
s2	Exact level-crossings are located, and connections with N-fold supersymmetry and quasi-exact solvability in certain special cases are pointed out.	result 0.64	0.89	0.17	asserted 0.99

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Original abstract

The appearances of complex eigenvalues in the spectra of PT-symmetric quantum-mechanical systems are usually associated with a spontaneous breaking of PT. In this letter we discuss a family of models for which this phenomenon is also linked with an explicit breaking of supersymmetry. Exact level-crossings are located, and connections with N-fold supersymmetry and quasi-exact solvability in certain special cases are pointed out.

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14 arXiv papers cite this in 23 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

Papers citing it · 11 sentences without a confident label

Builds on it 2 papers

In this paper we have continued the project initiated in [ref] , and mapped out the phase diagram of a three-parameter family of $$-symmetric eigenvalue problems related to the Perk-Schultz models.

PT symmetry breaking and exceptional points for a class of inhomogeneous complex potentials · Exceptional points via near-degenerate perturbation theory · 0.97
The novel element is in extension of present and previously known facts to complex potentials [ref] for Hamiltonians which are not necessarily diagonalizable [ref] .

Hidden Symmetry from Supersymmetry in One-Dimensional Quantum Mechanics · Introduction · 0.96

Uses its method or tool 1 paper

As in [ref] , we begin by introducing an alternative set of coordinates on the $(2λ,α)$ plane, defined by _±=1/2M+2 [ -M-1±2λ ] .

PT symmetry breaking and exceptional points for a class of inhomogeneous complex potentials · Generalities and previous results · 0.80

Compares with it 1 paper

We will actually treat the case of small $|ϵ|$ independently of the sign of $ϵ$: for $ϵ>0$ we recover the known result proved in [ref] .

PT Symmetric Schr\"odinger Operators: Reality of the Perturbed Eigenvalues · Introduction and statement of the results · 0.85

Cites it as background 8 papers

Such theories have been studied quite a lot in recent years from a variety of points of view [ref] .

The S-matrix of the Faddeev-Reshetikhin Model, Diagonalizability and PT Symmetry · Diagonalizability and $𝐏𝐓$ Symmetry · 0.95
Calogero systems, as is well known, govern the dynamics of the moving poles of rational solutions to the Korteweg-de Vries (KdV) equation [ref] . $𝒫𝒯$-symmetric quantum systems also reveal peculiar properties from the perspective of supersymmetric quantum mechanics [ref] .

Perfectly invisible $\mathcal{PT}$-symmetric zero-gap systems, conformal field theoretical kinks, and exotic nonlinear supersymmetry · Introduction · 0.95
The idea of supersymmetry in some of its versions was adapted in the context of non-Hermitian Hamiltonians [ref] .

Self-isospectral tri-supersymmetry in PT-symmetric quantum systems with pure imaginary periodicity · Introduction · 0.90

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