Supermatrix Models
arXiv:hep-th/0102168 · doi:10.1016/S0550-3213(01)00324-8
Abstract
We investigate several matrix models based on super Lie algebras, osp(1|32,R), u(1|16,16) and gl(1|32,R). They are natural generalizations of IIB matrix model and were first proposed by Smolin. In particular, we study the supersymmetry structures of these models and discuss possible reductions to IIB matrix model. We also point out that diffeomorphism invariance is hidden in gauge theories on noncommutative space which are derived from matrix models. This symmetry is independent of the global SO(9,1) invariance in IIB matrix model and we report our trial to extend the global Lorentz invariance to local symmetry by introducing u(1|16,16) or gl(1|32,R) super Lie algebras.
34 pages, 3 figures
References in corpus (17)
- A Large-N Reduced Model as Superstring
- Noncommutative Yang-Mills in IIB Matrix Model
- Space-Time Structures from IIB Matrix Model
- Wilson Loops in Noncommutative Yang Mills
- Lattice Gauge Fields and Discrete Noncommutative Yang-Mills Theory
- Finite N Matrix Models of Noncommutative Gauge Theory
- Dynamical Aspects of Large N Reduced Models
- IIB Matrix Model
- Monte Carlo Studies of the IIB Matrix Model at Large N
- Large N Dynamics of Dimensionally Reduced 4D SU(N) Super Yang-Mills Theory
- Open Wilson Lines in Noncommutative Gauge Theory and Tomography of Holographic Dual Supergravity
- Strings from IIB Matrices
- String Field Theory from IIB Matrix Model
- Bi-local Fields in Noncommutative Field Theory
- M theory as a matrix extension of Chern-Simons theory
- Topological Matrix Model
- Space-Time and Matter in IIB Matrix Model - gauge symmetry and diffeomorphism -
Cited by in corpus (28)
- Quantum Field Theory on Noncommutative Spaces
- Symmetry, Gravity and Noncommutativity
- Emergent Gravity from Noncommutative Gauge Theory
- Noncommutative Gauge Theory on Fuzzy Four-Sphere and Matrix Model
- Mean Field Approximation of IIB Matrix Model and Emergence of Four Dimensional Space-Time
- Nonperturbative studies of fuzzy spheres in a matrix model with the Chern-Simons term
- Geometry of the Gauge Algebra in Noncommutative Yang-Mills Theory
- Noncommutative Superspace, Supermatrix and Lowest Landau Level
- Teleparallel Gravity and Dimensional Reductions of Noncommutative Gauge Theory
- Gauge Theory on Noncommutative Supersphere from Supermatrix Model
- Quantized Nambu-Poisson Manifolds in a 3-Lie Algebra Reduced Model
- Curved-space classical solutions of a massive supermatrix model
- Covariant Formulation of M-Theory
- Model of M-theory with Eleven Matrices
- A quantization of topological M theory
- Note on Gauge Theory on Fuzzy Supersphere
- Supermatrix models for M-theory based on osp(1|32,R)
- Matrix models and the gravitational interaction
- String Geometry and Non-perturbative Formulation of String Theory
- Three-Algebra BFSS Matrix Theory
- Extension of IIB Matrix Model by Three-Algebra
- Ghost D-brane, Supersymmetry and Matrix Model
- A note on quantization of matrix models
- Matrix model with manifest general coordinate invariance
- Four-algebraic extension of the IIB matrix model
- SUSY Quantum Hall Effect on Non-Anti-Commutative Geometry
- Representation of SU(infinity) Algebra for Matrix Models
- A class of hermitian generalized Jordan triple systems and Chern-Simons gauge theory