Supersymmetric inhomogeneous field theories in 1+1 dimensions
- 주제(키워드) Field Theories in Lower Dimensions , Solitons Monopoles and Instantons
- 주제(기타) Physics, Particles & Fields
- 설명문(일반) [Kwon, O-Kab; Kim, Yoonbai] Sungkyunkwan Univ, Dept Phys, BK21 Phys Res Div, Autonomous Inst Nat Sci, Suwon 16419, South Korea; [Kwon, O-Kab; Kim, Yoonbai] Sungkyunkwan Univ, Inst Basic Sci, Suwon 16419, South Korea; [Kim, Chanju] Ewha Womans Univ, Dept Phys, Seoul 03760, South Korea
- 등재 SCIE, SCOPUS
- OA유형 Green Submitted, gold
- 발행기관 SPRINGER
- 발행년도 2022
- 총서유형 Journal
- URI http://www.dcollection.net/handler/ewha/000000190262
- 본문언어 영어
- Published As https://doi.org/10.1007/JHEP01(2022)140
초록/요약
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 phi(6) theory. They are deformed either by overall inhomogeneous resealing 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.
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