Minimal model
Encyclopedia
- In theoretical physics, the term minimal model usually refers to a special class of conformal field theoriesConformal field theoryA conformal field theory is a quantum field theory that is invariant under conformal transformations...
that generalize the Ising model, or to some closely related representations of the Virasoro algebraVirasoro algebraIn mathematics, the Virasoro algebra is a complex Lie algebra, given as a central extension of the complex polynomial vector fields on the circle, and is widely used in conformal field theory and string theory....
. It is a simple CFT model with finite primary fields and hence is completely solvable.
- In birational geometry, a minimal modelMinimal model (birational geometry)In algebraic geometry, the minimal model program is part of the birational classification of algebraic varieties. Its goal is to construct a birational model of any complex projective variety which is as simple as possible...
of an algebraic variety is one for which the canonical line bundle is numerically effective, in particular as much has been blown-down as possible. It can also mean the Néron minimal model of an abelian variety or elliptic curve.
- In algebraic topology, the (Sullivan) minimal model of a differential graded algebra is used in rational homotopy theoryRational homotopy theoryIn mathematics, rational homotopy theory is the study of the rational homotopy type of a space, which means roughly that one ignores all torsion in the homotopy groups...
.
- In endocrinology and diabetology, the term minimal model denotes a mathematical model of metabolic control of glucose homeostasisHomeostasisHomeostasis is the property of a system that regulates its internal environment and tends to maintain a stable, constant condition of properties like temperature or pH...
via insulin.
- In set theory, the minimal modelMinimal model (set theory)In set theory, a minimal model is a minimal standard model of ZFC.Minimal models were introduced by .The existence of a minimal model cannot be proved in ZFC, even assuming that ZFC is consistent, but follows from the existence of a standard model as follows...
of ZFC is part of the Constructible universe.