Noncommutative Superspace, Supermatrix and Lowest Landau Level
arXiv:hep-th/0306251 · doi:10.1016/j.nuclphysb.2003.08.013
Abstract
By using graded (super) Lie algebras, we can construct noncommutative superspace on curved homogeneous manifolds. In this paper, we take a flat limit to obtain flat noncommutative superspace. We particularly consider and superspaces based on the graded Lie algebras , and . Jacobi identities of supersymmetry algebras and associativities of star products are automatically satisfied. Covariant derivatives which commute with supersymmetry generators are obtained and chiral constraints can be imposed. We also discuss that these noncommutative superspaces can be understood as constrained systems analogous to the lowest Landau level system.
29 pages, Latex. A subsection is added to explain the Seiberg's noncommutative superspace as a constrained system
References in corpus (4)
Cited by in corpus (45)
- Expanding Lie (super)algebras through abelian semigroups
- Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces
- Supersymmetric Gauge Theories on Noncommutative Superspace
- Nilpotent deformations of N=2 superspace
- Expansions of algebras and superalgebras and some applications
- Supersymmetric Quantum Hall Effect on Fuzzy Supersphere
- Fuzzy Supersphere and Supermonopole
- Supersymmetry vs ghosts
- One-Loop Perturbative Corrections to non(anti)commutativity Parameter of N=1/2 Supersymmetric U(N) Gauge Theory
- Rotating superfluids and spinning charged operators in conformal field theory
- Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
- N=2 Supersymmetric U(1) Gauge Theory in Noncommutative Harmonic Superspace
- U(N) Instantons on N=1/2 superspace -- exact solution & geometry of moduli space
- Quantum Hall Liquid on a Noncommutative Superplane
- Gauge Theory on Noncommutative Supersphere from Supermatrix Model
- Singlet Deformation and Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
- On the Landau system in noncommutative phase-space
- N=8 Mechanics in SU(2)xSU(2) Harmonic Superspace
- D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace
- Superfield theory and supermatrix model
- Deformed Supersymmetry in Non(anti)commutative N=2 Supersymmetric U(1) Gauge Theory
- Gauged Wess-Zumino Model in Noncommutative Minkowski Superspace
- Non(anti)commutative N=(1,1/2) Supersymmetric U(1) Gauge Theory
- Deformed N=1 supersymmetry
- Landau Models and Matrix Geometry
- Ring Structure of SUSY * Product and 1/2 SUSY Wess-Zumino Model
- Landau Models and Nested Nambu Matrix Geometry
- Seiberg-Witten Map for Superfields on N=(1/2,0) and N=(1/2,1/2) Deformed Superspace
- Note on a fermionic solution of the matrix model and noncommutative superspace
- Note on Gauge Theory on Fuzzy Supersphere
- Supersymmetric Monopole Quantum Mechanics on Sphere
- N=2 Superparticles, RR Fields and Noncommutative Structures of (super)-Spacetime
- Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace
- A complete solution of a Constrained System: SUSY Monopole Quantum Mechanics
- Quantum Mechanics in Non(Anti)Commutative Superspace
- Energy corrections due to the noncommutative phase-space of the charged isotropic harmonic oscillator in a uniform magnetic field in 3D
- Instantons in N=1/2 Super Yang-Mills Theory via Deformed Super ADHM Construction
- SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
- Super Chern-Simons Quantum Mechanics
- Snyderspace
- Central Charges in Non(anti)commutative N=2 Supersymmetric U(N) Gauge Theory
- Robust translational invariance in topological bands against lattice potentials and disorders
- Spinorial Snyder and Yang Models From Superalgebras And Noncommutative Quantum Superspaces
- Electromagnetic Dualities on Noncommutative Space-Time and Symplectic Formalisms
- Super Yang-Mills Theory from a Supermatrix Model