Gauge Theory on Noncommutative Supersphere from Supermatrix Model
arXiv:hep-th/0311005 · doi:10.1103/PhysRevD.69.105003
Abstract
We construct a supermatrix model which has a classical solution representing the noncommutative (fuzzy) two-supersphere. Expanding supermatrices around the classical background, we obtain a gauge theory on a noncommutative superspace on sphere. This theory has supersymmetry and gauge symmetry. We also discuss a commutative limit of the model keeping radius of the supersphere fixed.
16 pages, Latex, typos corrected, references added
References in corpus (26)
- Non-commutative superspace from string theory
- Noncommutative Superspace, N=1/2 Supersymmetry, Field Theory and String Theory
- Superstrings in Graviphoton Background and N=1/2+3/2 Supersymmetry
- Comments on Noncommutative Superspace
- Supersymmetric Gauge Theories on Noncommutative Superspace
- N=1/2 Wess-Zumino model is renormalizable
- Two-loop Renormalization for Nonanticommutative N=1/2 Supersymmetric WZ Model
- Deformed Superspace, N=1/2 Supersymmetry and (Non)Renormalization Theorems
- Supersymmetry in noncommutative superspaces
- Renormalizability of N=1/2 Wess-Zumino model in superspace
- Renormalizability of Non(anti)commutative Gauge Theories with N=1/2 Supersymmetry
- Non-anticommutative N=2 super-Yang-Mills theory with singlet deformation
- Wilsonian Proof for Renormalizability of N=1/2 Supersymmetric Field Theories
- Non(anti)commutative Superspace, UV/IR Mixing & Open Wilson Lines
- Noncommutative Superspace, Supermatrix and Lowest Landau Level
- Dijkgraaf-Vafa theory as large-N reduction
- One-Loop Perturbative Corrections to non(anti)commutativity Parameter of N=1/2 Supersymmetric U(N) Gauge Theory
- On Instantons and Zero Modes of N=1/2 SYM Theory
- Superfield theory and supermatrix model
- Superstar in Noncommutative Superspace via Covariant Quantization of the Superparticle
- Deformed N=1 supersymmetry
- Seiberg-Witten Map for Superfields on Canonically Deformed N=1, d=4 Superspace
- Ring Structure of SUSY * Product and 1/2 SUSY Wess-Zumino Model
- A Path Integral Approach To Noncommutative Superspace
- Note on a fermionic solution of the matrix model and noncommutative superspace
- Scalar Solitons in Non(anti)commutative Superspace
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- Nonperturbative studies of fuzzy spheres in a matrix model with the Chern-Simons term
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- Fuzzy Supersphere and Supermonopole
- Supersymmetry vs ghosts
- Hopf Maps, Lowest Landau Level, and Fuzzy Spheres
- Quantum Hall Liquid on a Noncommutative Superplane
- U(N) Instantons on N=1/2 superspace -- exact solution & geometry of moduli space
- Comments on Gluino Condensates in N=1/2 SYM Theory
- D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace
- Hyperbolic Supersymmetric Quantum Hall Effect
- Quantum Field Theory in a Non-Commutative Space: Theoretical Predictions and Numerical Results on the Fuzzy Sphere
- Fuzzy CP(n|m) as a quantum superspace
- Graded Hopf Maps and Fuzzy Superspheres
- N=1/2 Super Yang-Mills Theory on Euclidean AdS2xS2
- Nonanticommutative Deformation of N=4 SYM Theory: The Myers Effect and Vacuum States
- Supersymmetric Chern-Simons Theory and Supersymmetric Quantum Hall Liquid
- Supersymmetric large-N reduced model with multiple matter
- Note on Gauge Theory on Fuzzy Supersphere
- Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace
- Quantum Mechanics in Non(Anti)Commutative Superspace
- Notes on noncommutative supersymmetric gauge theory on the fuzzy supersphere
- SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
- Non-planar Diagrams and Non-commutative Superspace in Dijkgraaf-Vafa theory
- On supermatrix models, Poisson geometry and noncommutative supersymmetric gauge theories
- Super Chern-Simons Quantum Mechanics
- Super quantum Dirac operator on the q-deformed super fuzzy sphere in instanton sector using quantum super Ginsparg-Wilson algebra
- Topological Many-Body States in Quantum Antiferromagnets via Fuzzy Super-Geometry