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# N = 4 supersymmetric Yang–Mills theory

N. [1]

## Algebra representation

In abstract algebra, a representation of an associative algebra is a module for that algebra.

## Amplituhedron

An amplituhedron is a geometric structure that enables simplified calculation of particle interactions in some quantum field theories.

## Ars Technica

Ars Technica (Latin-derived for the "art of technology") is a technology news and information website created by Ken Fisher and Jon Stokes in 1998.

## Bethe ansatz

In physics, the Bethe ansatz is an ansatz method for finding the exact solutions of certain one-dimensional quantum many-body models.

## Bosonic field

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

## Chern class

In mathematics, in particular in algebraic topology, differential geometry and algebraic geometry, the Chern classes are characteristic classes associated with complex vector bundles.

## Conformal symmetry

In mathematical physics, the conformal symmetry of spacetime is expressed by an extension of the Poincaré group.

## D-brane

In string theory, D-branes are a class of extended objects upon which open strings can end with Dirichlet boundary conditions, after which they are named.

## Duality (mathematics)

In mathematics, a duality, generally speaking, translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of A is B, then the dual of B is A. Such involutions sometimes have fixed points, so that the dual of A is A itself.

## Fermionic field

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

## Gerard 't Hooft

Gerardus (Gerard) 't Hooft (born July 5, 1946) is a Dutch theoretical physicist and professor at Utrecht University, the Netherlands.

## Grassmannian

In mathematics, the Grassmannian is a space which parameterizes all linear subspaces of a vector space of given dimension.

## Holographic principle

The holographic principle is a property of string theories and a supposed property of quantum gravity that states that the description of a volume of space can be thought of as encoded on a boundary to the region—preferably a light-like boundary like a gravitational horizon.

## Lagrangian (field theory)

Lagrangian field theory is a formalism in classical field theory.

## Langlands dual group

In representation theory, a branch of mathematics, the Langlands dual LG of a reductive algebraic group G (also called the L-group of G) is a group that controls the representation theory of G. If G is defined over a field k, then LG is an extension of the absolute Galois group of k by a complex Lie group.

## Leonard Susskind

Leonard Susskind (born May 20, 1940)his 60th birthday was celebrated with a special symposium at Stanford University.

## Lie superalgebra

In mathematics, a Lie superalgebra is a generalisation of a Lie algebra to include a Z2-grading.

## Montonen–Olive duality

In theoretical physics, Montonen–Olive duality is the oldest known example of S-duality or a strong-weak duality.

## N-sphere

In mathematics, the n-sphere is the generalization of the ordinary sphere to spaces of arbitrary dimension.

## Nima Arkani-Hamed

Nima Arkani-Hamed (born April 5, 1972) is an American-Canadian, sns.ias.edu; accessed May 12, 2015.

## Physical model

Physical model (most commonly referred to simply as a model but in this context distinguished from a conceptual model) is a smaller or larger physical copy of an object.

## Planar graph

In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect only at their endpoints.

## Quantum gravity

Quantum gravity (QG) is a field of theoretical physics that seeks to describe the force of gravity according to the principles of quantum mechanics.

## R-symmetry

In theoretical physics, the R-symmetry is the symmetry transforming different supercharges in a theory with supersymmetry into each other.

## 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.

## Supercharge

In theoretical physics, a supercharge is a generator of supersymmetry transformations.

## Superconformal algebra

In theoretical physics, the superconformal algebra is a graded Lie algebra or superalgebra that combines the conformal algebra and supersymmetry.

## Supersymmetry

Supersymmetry (SUSY), a theory of particle physics, is a proposed type of spacetime symmetry that relates two basic classes of elementary particles: bosons, which have an integer-valued spin, and fermions, which have a half-integer spin.

## Supersymmetry algebra

In theoretical physics, a supersymmetry algebra (or SUSY algebra) is a mathematical formalism for describing the relation between bosons and fermions.

## Toy model

In physics, a toy model is a simplified set of objects and equations relating them so that they can nevertheless be used to understand a mechanism that is also useful in the full, non-simplified theory.

## Twistor theory

In theoretical and mathematical physics, twistor theory maps the geometric objects of conventional 3+1 space-time (Minkowski space) into geometric objects in a 4-dimensional space endowed with a Hermitian form of signature (2,2).

## 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.

## Yang–Mills theory

Yang–Mills theory is a gauge theory based on the SU(''N'') group, or more generally any compact, semi-simple Lie group.

## Yangian

Yangian is an important structure in modern representation theory, a type of a quantum group with origins in physics.

## 1/N expansion

In quantum field theory and statistical mechanics, the 1/N expansion (also known as the large-N expansion) is a particular perturbative analysis of quantum field theories with an internal symmetry group such as SO(N) or SU(N).

## 6D (2,0) superconformal field theory

In theoretical physics, the six-dimensional (2,0)-superconformal field theory is a quantum field theory whose existence is predicted by arguments in string theory.

## References

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