36 relations: Algebra representation, Amplituhedron, Ars Technica, Bethe ansatz, Bosonic field, Chern class, Conformal symmetry, D-brane, Duality (mathematics), Fermionic field, Gerard 't Hooft, Grassmannian, Holographic principle, Lagrangian (field theory), Langlands dual group, Leonard Susskind, Lie superalgebra, Montonen–Olive duality, N-sphere, Nima Arkani-Hamed, Physical model, Planar graph, Quantum gravity, R-symmetry, String theory, Supercharge, Superconformal algebra, Supersymmetry, Supersymmetry algebra, Toy model, Twistor theory, Type II string theory, Yang–Mills theory, Yangian, 1/N expansion, 6D (2,0) superconformal field theory.
In abstract algebra, a representation of an associative algebra is a module for that algebra.
An amplituhedron is a geometric structure that enables simplified calculation of particle interactions in some quantum field theories.
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.
In physics, the Bethe ansatz is an ansatz method for finding the exact solutions of certain one-dimensional quantum many-body models.
In quantum field theory, a bosonic field is a quantum field whose quanta are bosons; that is, they obey Bose–Einstein statistics.
In mathematics, in particular in algebraic topology, differential geometry and algebraic geometry, the Chern classes are characteristic classes associated with complex vector bundles.
In mathematical physics, the conformal symmetry of spacetime is expressed by an extension of the Poincaré group.
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.
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.
In quantum field theory, a fermionic field is a quantum field whose quanta are fermions; that is, they obey Fermi–Dirac statistics.
Gerardus (Gerard) 't Hooft (born July 5, 1946) is a Dutch theoretical physicist and professor at Utrecht University, the Netherlands.
In mathematics, the Grassmannian is a space which parameterizes all linear subspaces of a vector space of given dimension.
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 is a formalism in classical field theory.
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 (born May 20, 1940)his 60th birthday was celebrated with a special symposium at Stanford University.
In mathematics, a Lie superalgebra is a generalisation of a Lie algebra to include a Z2-grading.
In theoretical physics, Montonen–Olive duality is the oldest known example of S-duality or a strong-weak duality.
In mathematics, the n-sphere is the generalization of the ordinary sphere to spaces of arbitrary dimension.
Nima Arkani-Hamed (born April 5, 1972) is an American-Canadian, sns.ias.edu; accessed May 12, 2015.
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.
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 (QG) is a field of theoretical physics that seeks to describe the force of gravity according to the principles of quantum mechanics.
In theoretical physics, the R-symmetry is the symmetry transforming different supercharges in a theory with supersymmetry into each other.
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.
In theoretical physics, a supercharge is a generator of supersymmetry transformations.
In theoretical physics, the superconformal algebra is a graded Lie algebra or superalgebra that combines the conformal algebra and 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.
In theoretical physics, a supersymmetry algebra (or SUSY algebra) is a mathematical formalism for describing the relation between bosons and fermions.
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.
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).
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 is a gauge theory based on the SU(''N'') group, or more generally any compact, semi-simple Lie group.
Yangian is an important structure in modern representation theory, a type of a quantum group with origins in physics.
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).
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.
N = 4 super Yang–Mills, N=4 SYM, N=4 Supersymmetric Yang-Mills theory, N=4 super Yang-Mills, N=4 super Yang–Mills, N=4 supersymmetric Yang-Mills theory, Super Yang-Mills, 𝓝=4 supersymmetric Yang-Mills theory.