Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of a new three boson non-hermitian Hamiltonian associated
  to deformed Higgs algebra: real eigenvalues and Partial PT-symmetry   A $\gamma$-deformed version of $\mathfrak{su}(2)$ algebra has been obtained
from a bi-orthogonal system of vectors in $\bf{C^2}$. Fusion of
Jordan-Schwinger realization of complexified $\mathfrak{su}(2)$ with
Dyson-Maleev representation gives a 3-boson realization of Higgs algebra of
cubic polynomial type. The non-hermitian Hamiltonian thus obtained is found to
have real eigenvalues and eigen states with symmetry induced orthogonality. The
notion of partial ${\mathcal {PT}}$-symmetry (henceforth $\partial_{\mathcal {
PT}}$) has been introduced as a characteristic feature of these multi-boson
realizations. The Hamiltonian along with its eigenstates have been studied in
the light of $\partial_{\mathcal { PT}}$-symmetry. The possibility of
$\partial_{\mathcal { PT}}$-symmetry breaking is also discussed. The
deformation parameter $\gamma$ plays a crucial role in the entire formulation
and non-trivially modifies the eigenfunctions under consideration.

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The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
2
The categories of this paper are: math
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: funct-an