Extended supersymmetry with central charges in higher dimensional Dirac action
arXiv:1812.11282 · doi:10.1103/PhysRevD.99.065002
Abstract
A new realization of extended quantum-mechanical supersymmetry (QM SUSY) with central extension is investigated. We first show that two different sets of () supercharges for even (odd), each of which satisfies an () extended QM SUSY algebra without central extension, are hidden in the four-dimensional (4D) mass spectrum of the -dimensional Dirac action. We then find that the whole set of the supercharges forms an () extended QM SUSY algebra with central charges for even (odd). The representation of the supersymmetry algebra is shown to be -Bogomol'nyi--Prasad--Sommerfield states that correspond to a short representation for the supersymmetry algebra with central extension. We explicitly examine the 4D mass spectrum of the models with the hyperrectangle and the torus extra dimensions, and discuss their supersymmetric structures.
arXiv comment15 pages
References in corpus (33)
- Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
- Supersymmetry and Quantum Mechanics
- Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
- Black Holes and Superconformal Mechanics
- Infinitely many shape invariant potentials and new orthogonal polynomials
- Black Holes and Calogero Models
- More on Supersymmetric and 2d Analogs of the SYK Model
- Dirac oscillator with nonzero minimal uncertainty in position
- Supersymmetric SYK model and random matrix theory
- Adinkras: A Graphical Technology for Supersymmetric Representation Theory
- On the Classification of N-extended Supersymmetric Quantum Mechanical Systems
- Isospectrality of conventional and new extended potentials, second-order supersymmetry and role of PT symmetry
- Supersymmetric Quantum Mechanics
- Classification of irreps and invariants of the N-extended Supersymmetric Quantum Mechanics
- AdS_2/CFT_1, Canonical Transformations and Superconformal Mechanics
- Extended Supersymmetric Quantum Mechanics
- Supersymmetric SYK Model: Bi-local Collective Superfield/Supermatrix Formulation
- Energy-momentum/Cotton tensor duality for AdS4 black holes
- Trends in supersymmetric quantum mechanics
- Supersymmetry in 5d Gravity
- Supersymmetry in gauge theories with extra dimensions
- The Geometric Phase in Supersymmetric Quantum Mechanics
- Gauge-Fixing and Residual Symmetries in Gauge/Gravity Theories with Extra Dimensions
- Chaos and random matrices in supersymmetric SYK
- Supersymmetry and discrete transformations on S^1 with point singularities
- Two-dimensional N=8 supersymmetric mechanics in superspace
- Extended supersymmetry and its reduction on a circle with point singularities
- Duality and Central Charges in Supersymmetric Quantum Mechanics
- 6d Dirac fermion on a rectangle; scrutinizing boundary conditions, mode functions and spectrum
- Non-Abelian Monopole in the Parameter Space of Point-like Interactions
- Supersymmetry in 6d Dirac Action
- BPS Monopole in the Space of Boundary Conditions
- Emergent Supersymmetry in Warped Backgrounds