Supermatrix Models
arXiv:hep-th/9111033 · doi:10.1142/S0217751X92002775
Abstract
Random matrix models based on an integral over supermatrices are proposed as a natural extension of bosonic matrix models. The subtle nature of superspace integration allows these models to have very different properties from the analogous bosonic models. Two choices of integration slice are investigated. One leads to a perturbative structure which is reminiscent of, and perhaps identical to, the usual Hermitian matrix models. Another leads to an eigenvalue reduction which can be described by a two component plasma in one dimension. A stationary point of the model is described.
22 pgs
Cited by in corpus (18)
- Exact Results in ABJM Theory from Topological Strings
- Negative Branes, Supergroups and the Signature of Spacetime
- Extended Seiberg-Witten Theory and Integrable Hierarchy
- Ghost D-branes
- N=1 Supersymmetry, Deconstruction, and Bosonic Gauge Theories
- Exact results on ABJ theory and the refined topological string
- Direct derivation of "mirror" ABJ partition function
- Fermionic Matrix Models
- Direct Integration and Non-Perturbative Effects in Matrix Models
- Supereigenvalue Model and Dijkgraaf-Vafa Proposal
- Intersecting Defects and Supergroup Gauge Theory
- Super instanton counting and localization
- Quantum Cellular Automata from Lattice Field Theories
- Orthogonality Relations and Supercharacter Formulas of U(m|n) Representations
- Event-Symmetric Physics
- Ghost D-brane, Supersymmetry and Matrix Model
- Orthosymplectic Superinstanton Counting and Brane Dynamics
- Complex (super)-matrix models with external sources and -ensembles of Chern-Simons and ABJ(M) type