Category of quantizations and inverse problem

DOI10.1016/j.nuclphysb.2023.116146OpenAlexW4324044731MaRDI QIDQ2691946

Akifumi Sako

Publication date: 30 March 2023

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.09019

Mathematics Subject Classification ID

Quantum theory (81-XX) Relativity and gravitational theory (83-XX)

Uses Software

• BProbe

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Universal enveloping algebras and universal derivations of Poisson algebras
• Multi-linear formulation of differential geometry and matrix regularizations
• Strict deformation quantization of a particle in external gravitational and Yang-Mills fields
• Membrane topology and matrix regularization
• Fuzzy torus in matrix model
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Deformation theory and quantization. I: Deformations of symplectic structures
• Deformation theory and quantization. II: Physical applications
• Parametrizing equivalence classes of invariant star products
• Symplectic structures associated to Lie-Poisson groups
• Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
• A large-\(N\) reduced model as superstring
• Hopf structure for Poisson enveloping algebras.
• Plane-wave matrix theory from \(N=4\) super-Yang-Mills on \(\mathbb{R}\times S^3\)
• D-branes and the noncommutative torus
• Kähler structure in the commutative limit of matrix geometry
• Realization of Poisson enveloping algebra
• \(gl(\infty{})\) and geometric quantization
• Deformation quantization of Heisenberg manifolds
• A generalization of the quantization of Poisson manifolds
• Measuring finite quantum geometries via quasi-coherent states
• The fuzzy sphere
• On the geometric quantization of Poisson manifolds
• Poisson enveloping algebras
• Equivalence of star products
• Categorical perspective on quantization of Poisson algebra
• Commutative geometry for non-commutative D-branes by tachyon condensation
• Basic Category Theory
• Geometric quantization; a crash course
• Lie Group Representations on Polynomial Rings
• Dressing transformations and Poisson group actions
• Dirac operators for matrix algebras converging to coadjoint orbits

This page was built for publication: Category of quantizations and inverse problem