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자연과학대학
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Journal papers
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Supersymmetric inhomogeneous field theories in 1+1 dimensions
Title
Supersymmetric inhomogeneous field theories in 1+1 dimensions
Authors
Kwon O.-K.
;
Kim C.
;
Kim Y.
Ewha Authors
김찬주
SCOPUS Author ID
김찬주
Issue Date
2022
Journal Title
Journal of High Energy Physics
ISSN
1029-8479
Citation
Journal of High Energy Physics vol. 2022, no. 1
Keywords
Field Theories in Lower Dimensions
;
Solitons Monopoles and Instantons
Publisher
Springer Science and Business Media Deutschland GmbH
Indexed
SCIE; SCOPUS
Document Type
Article
Abstract
We study supersymmetric inhomogeneous field theories in 1+1 dimensions which have explicit coordinate dependence. Although translation symmetry is broken, part of supersymmetries can be maintained. In this paper, we consider the simplest inhomogeneous theories with one real scalar field, which possess an unbroken supersymmetry. The energy is bounded from below by the topological charge which is not necessarily nonnegative definite. The bound is saturated if the first-order Bogomolny equation is satisfied. Non-constant static supersymmetric solutions above the vacuum involve in general a zero mode although the system lacks translation invariance. We consider two inhomogeneous theories obtained by deforming supersymmetric sine-Gordon theory and ϕ6 theory. They are deformed either by overall inhomogeneous rescaling of the superpotential or by inhomogeneous deformation of the vacuum expectation value. We construct explicitly the most general supersymmetric solutions and obtain the BPS energy spectrum for arbitrary position-dependent deformations. Nature of the solutions and their energies depend only on the boundary values of the inhomogeneous functions. The vacuum of minimum energy is not necessarily a constant configuration. In some cases, we find a one-parameter family of degenerate solutions which include a non-vacuum constant solution as a special case. © 2022, The Author(s).
DOI
10.1007/JHEP01(2022)140
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