41 relations: Algebra representation, Amplituhedron, Ars Technica, Bethe ansatz, Bosonic field, Chern class, Conformal symmetry, D-brane, Duality (mathematics), Extended supersymmetry, Fermionic field, Feynman diagram, Gerard 't Hooft, Grassmannian, Holographic principle, Lagrangian (field theory), Langlands dual group, Leonard Susskind, Lie superalgebra, M-theory, Matrix theory (physics), Montonen–Olive duality, N-sphere, Nima Arkani-Hamed, Physical model, Planar graph, Quantum gravity, R-symmetry, Scattering amplitude, String theory, Supercharge, Superconformal algebra, Supersymmetry, Supersymmetry nonrenormalization theorems, Toy model, Twistor theory, Type II string theory, Yang–Mills theory, Yangian, 1/N expansion, 6D (2,0) superconformal field theory.

## Algebra representation

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

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## Amplituhedron

An amplituhedron is a geometric structure introduced in 2013 by Nima Arkani-Hamed and Jaroslav Trnka.

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## Ars Technica

Ars Technica (a Latin-derived term that the site translates as the "art of technology") is a website covering news and opinions in technology, science, politics, and society, created by Ken Fisher and Jon Stokes in 1998.

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## Bethe ansatz

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

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## Bosonic field

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

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## 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.

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## Christmas

Christmas is an annual festival commemorating the birth of Jesus Christ,Martindale, Cyril Charles.

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## Christmas and holiday season

The Christmas season, also called the festive season, or the holiday season (mainly in the U.S. and Canada; often simply called the holidays),, is an annually recurring period recognized in many Western and Western-influenced countries that is generally considered to run from late November to early January.

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## Christmas Eve

Christmas Eve is the evening or entire day before Christmas Day, the festival commemorating the birth of Jesus.

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## Christmas traditions

Christmas traditions vary from country to country.

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## Conformal symmetry

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

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## 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.

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## 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.

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## Extended supersymmetry

In theoretical physics, extended supersymmetry is supersymmetry whose infinitesimal generators Q_i^\alpha carry not only a spinor index \alpha, but also an additional index i.

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## Fermionic field

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

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## Feynman diagram

In theoretical physics, Feynman diagrams are pictorial representations of the mathematical expressions describing the behavior of subatomic particles.

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## Gerard 't Hooft

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

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## Grassmannian

In mathematics, the Grassmannian is a space which parametrizes all -dimensional linear subspaces of the n-dimensional vector space.

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## Holographic principle

The holographic principle is a principle 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 lower-dimensional boundary to the region—preferably a light-like boundary like a gravitational horizon.

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## Lagrangian (field theory)

Lagrangian field theory is a formalism in classical field theory.

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## 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.

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## Leonard Susskind

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

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## Lie superalgebra

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

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## M-theory

M-theory is a theory in physics that unifies all consistent versions of superstring theory.

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## Matrix theory (physics)

In theoretical physics, the BFSS matrix model or matrix theory is a quantum mechanical model proposed by Tom Banks, Willy Fischler, Stephen Shenker, and Leonard Susskind in 1997.

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## Montonen–Olive duality

Montonen–Olive duality or electric-magnetic duality is the oldest known example of strong-weak duality or S-duality according to current terminology.

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## N-sphere

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

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## New Year

New Year is the time or day at which a new calendar year begins and the calendar's year count increments by one.

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## New Year's Day

New Year's Day, also called simply New Year's or New Year, is observed on January 1, the first day of the year on the modern Gregorian calendar as well as the Julian calendar.

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## New Year's Eve

In the Gregorian calendar, New Year's Eve (also known as Old Year's Day or Saint Sylvester's Day in many countries), the last day of the year, is on 31 December which is the seventh day of Christmastide.

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## Nima Arkani-Hamed

Nima Arkani-Hamed (نیما ارکانی حامد; born April 5, 1972) is an American-Canadian, sns.ias.edu; accessed December 4, 2015.

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## 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.

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## 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.

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## Quantum gravity

Quantum gravity (QG) is a field of theoretical physics that seeks to describe gravity according to the principles of quantum mechanics, and where quantum effects cannot be ignored, such as near compact astrophysical objects where the effects of gravity are strong.

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## R-symmetry

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

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## Scattering amplitude

In quantum physics, the scattering amplitude is the probability amplitude of the outgoing spherical wave relative to the incoming plane wave in a stationary-state scattering process.

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## 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.

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## Supercharge

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

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## Superconformal algebra

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

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## Supersymmetry

In particle physics, supersymmetry (SUSY) is a theory that proposes a relationship between two basic classes of elementary particles: bosons, which have an integer-valued spin, and fermions, which have a half-integer spin.

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## Supersymmetry nonrenormalization theorems

In theoretical physics a nonrenormalization theorem is a limitation on how a certain quantity in the classical description of a quantum field theory may be modified by renormalization in the full quantum theory.

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## Toy model

In the modeling of physics, a toy model is a deliberately simplistic model with many details removed so that it can be used to explain a mechanism concisely.

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## Twistor theory

Twistor theory was proposed by Roger Penrose in 1967 as a possible path to quantum gravity and has evolved into a branch of theoretical and mathematical physics.

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## 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.

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## Yang–Mills theory

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

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## Yangian

In representation theory, a Yangian is an infinite-dimensional Hopf algebra, a type of a quantum group.

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## 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).

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## 2018

2018 has been designated as the third International Year of the Reef by the International Coral Reef Initiative.

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## 2019

2019 (MMXIX) will be a common year starting on Tuesday of the Gregorian calendar, the 2019th year of the Common Era (CE) and Anno Domini (AD) designations, the 19th year of the 3rd millennium, the 19th year of the 21st century, and the 10th and last year of the 2010s decade.

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## 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.

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## Redirects here:

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, Planar Yang-Mills theory, Planar Yang–Mills theory, Planar limit, Super Yang-Mills, 𝓝=4 supersymmetric Yang-Mills theory.

## References

[1] https://en.wikipedia.org/wiki/N_=_4_supersymmetric_Yang–Mills_theory