Kähler structure in the commutative limit of matrix geometry
arXiv:1603.09146 · doi:10.1007/JHEP08(2016)042
Abstract
We consider the commutative limit of matrix geometry described by a large- sequence of some Hermitian matrices. Under some assumptions, we show that the commutative geometry possesses a Kähler structure. We find an explicit relation between the Kähler structure and the matrix configurations which define the matrix geometry. We also find a relation between the matrix configurations and those obtained from the geometric quantization.
28 pages
References in corpus (6)
- Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
- N=4 Super Yang-Mills from the Plane Wave Matrix Model
- Towards lattice simulation of the gauge theory duals to black holes and hot strings
- Embedding of theories with SU(2|4) symmetry into the plane wave matrix model
- Fuzzy Riemann Surfaces
- Numerical tests of the gauge/gravity duality conjecture for D0-branes at finite temperature and finite N
Cited by in corpus (7)
- Information metric, Berry connection and Berezin-Toeplitz quantization for matrix geometry
- Quantum (Matrix) Geometry and Quasi-Coherent States
- Geometry from Matrices via D-branes
- Contravariant Gravity on Poisson Manifolds and Einstein Gravity
- Commutative Geometry for Non-commutative D-branes by Tachyon Condensation
- Contravariant geometry and emergent gravity from noncommutative gauge theories
- Diffeomorphisms on Fuzzy Sphere