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N = 2 superconformal algebra

Index N = 2 superconformal algebra

In mathematical physics, the 2D N. [1]

Table of Contents

  1. 24 relations: Affine Lie algebra, Bosonic field, Compact group, Coset construction, Eigenvalues and eigenvectors, Fermionic field, Hermitian symmetric space, Infinite dihedral group, Inner product space, Kähler manifold, Lie superalgebra, Mathematical physics, Maximal torus, Mirror symmetry (string theory), Normal order, Special unitary group, State of matter, String theory, Super Virasoro algebra, Supersymmetry, Two-dimensional conformal field theory, Type II string theory, Virasoro algebra, Weyl character formula.

  2. Supersymmetry

Affine Lie algebra

In mathematics, an affine Lie algebra is an infinite-dimensional Lie algebra that is constructed in a canonical fashion out of a finite-dimensional simple Lie algebra. N = 2 superconformal algebra and affine Lie algebra are lie algebras and representation theory.

See N = 2 superconformal algebra and Affine Lie algebra

Bosonic field

In quantum field theory, a bosonic field is a quantum field whose quanta are bosons; that is, they obey Bose–Einstein statistics.

See N = 2 superconformal algebra and Bosonic field

Compact group

In mathematics, a compact (topological) group is a topological group whose topology realizes it as a compact topological space (when an element of the group is operated on, the result is also within the group).

See N = 2 superconformal algebra and Compact group

Coset construction

In mathematics, the coset construction (or GKO construction) is a method of constructing unitary highest weight representations of the Virasoro algebra, introduced by Peter Goddard, Adrian Kent and David Olive (1986). N = 2 superconformal algebra and coset construction are conformal field theory and lie algebras.

See N = 2 superconformal algebra and Coset construction

Eigenvalues and eigenvectors

In linear algebra, an eigenvector or characteristic vector is a vector that has its direction unchanged by a given linear transformation.

See N = 2 superconformal algebra and Eigenvalues and eigenvectors

Fermionic field

In quantum field theory, a fermionic field is a quantum field whose quanta are fermions; that is, they obey Fermi–Dirac statistics.

See N = 2 superconformal algebra and Fermionic field

Hermitian symmetric space

In mathematics, a Hermitian symmetric space is a Hermitian manifold which at every point has an inversion symmetry preserving the Hermitian structure.

See N = 2 superconformal algebra and Hermitian symmetric space

Infinite dihedral group

In mathematics, the infinite dihedral group Dih∞ is an infinite group with properties analogous to those of the finite dihedral groups.

See N = 2 superconformal algebra and Infinite dihedral group

Inner product space

In mathematics, an inner product space (or, rarely, a Hausdorff pre-Hilbert space) is a real vector space or a complex vector space with an operation called an inner product.

See N = 2 superconformal algebra and Inner product space

Kähler manifold

In mathematics and especially differential geometry, a Kähler manifold is a manifold with three mutually compatible structures: a complex structure, a Riemannian structure, and a symplectic structure.

See N = 2 superconformal algebra and Kähler manifold

Lie superalgebra

In mathematics, a Lie superalgebra is a generalisation of a Lie algebra to include a \Z/2\Zgrading. N = 2 superconformal algebra and Lie superalgebra are lie algebras and Supersymmetry.

See N = 2 superconformal algebra and Lie superalgebra

Mathematical physics

Mathematical physics refers to the development of mathematical methods for application to problems in physics.

See N = 2 superconformal algebra and Mathematical physics

Maximal torus

In the mathematical theory of compact Lie groups a special role is played by torus subgroups, in particular by the maximal torus subgroups.

See N = 2 superconformal algebra and Maximal torus

Mirror symmetry (string theory)

In algebraic geometry and theoretical physics, mirror symmetry is a relationship between geometric objects called Calabi–Yau manifolds. N = 2 superconformal algebra and mirror symmetry (string theory) are string theory.

See N = 2 superconformal algebra and Mirror symmetry (string theory)

Normal order

In quantum field theory a product of quantum fields, or equivalently their creation and annihilation operators, is usually said to be normal ordered (also called Wick order) when all creation operators are to the left of all annihilation operators in the product.

See N = 2 superconformal algebra and Normal order

Special unitary group

In mathematics, the special unitary group of degree, denoted, is the Lie group of unitary matrices with determinant 1.

See N = 2 superconformal algebra and Special unitary group

State of matter

In physics, a state of matter is one of the distinct forms in which matter can exist.

See N = 2 superconformal algebra and State of matter

String theory

In physics, string theory is a theoretical framework in which the point-like particles of particle physics are replaced by one-dimensional objects called strings.

See N = 2 superconformal algebra and String theory

Super Virasoro algebra

In mathematical physics, a super Virasoro algebra is an extension of the Virasoro algebra (named after Miguel Ángel Virasoro) to a Lie superalgebra. N = 2 superconformal algebra and super Virasoro algebra are conformal field theory, lie algebras and string theory.

See N = 2 superconformal algebra and Super Virasoro algebra

Supersymmetry

Supersymmetry is a theoretical framework in physics that suggests the existence of a symmetry between particles with integer spin (bosons) and particles with half-integer spin (fermions).

See N = 2 superconformal algebra and Supersymmetry

Two-dimensional conformal field theory

A two-dimensional conformal field theory is a quantum field theory on a Euclidean two-dimensional space, that is invariant under local conformal transformations. N = 2 superconformal algebra and two-dimensional conformal field theory are conformal field theory.

See N = 2 superconformal algebra and Two-dimensional conformal field theory

Type II string theory

In theoretical physics, type II string theory is a unified term that includes both type IIA strings and type IIB strings theories. N = 2 superconformal algebra and type II string theory are string theory.

See N = 2 superconformal algebra and Type II string theory

Virasoro algebra

In mathematics, the Virasoro algebra (named after the physicist Miguel Ángel Virasoro) is a complex Lie algebra and the unique central extension of the Witt algebra. N = 2 superconformal algebra and Virasoro algebra are conformal field theory and lie algebras.

See N = 2 superconformal algebra and Virasoro algebra

Weyl character formula

In mathematics, the Weyl character formula in representation theory describes the characters of irreducible representations of compact Lie groups in terms of their highest weights.

See N = 2 superconformal algebra and Weyl character formula

See also

Supersymmetry

References

[1] https://en.wikipedia.org/wiki/N_=_2_superconformal_algebra

Also known as N=2 superconformal algebra.