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51 relations: Alexander Belavin, Alexander Markovich Polyakov, Alexander Zamolodchikov, Élie Cartan, Central charge, Circolo Matematico di Palermo, Communications in Mathematical Physics, Conformal field theory, Conformal map, Coset construction, Daniel Friedan, David Olive, Dual resonance model, Ernst Witt, Goddard–Thorn theorem, Gramian matrix, Grassmann number, Heisenberg group, Israel Gelfand, Jacobi identity, Kac–Moody algebra, Lie algebra, Lie conformal algebra, Lie superalgebra, Linear span, Mathematics, Miguel Ángel Virasoro (physicist), N = 2 superconformal algebra, Nuclear Physics (journal), Partition (number theory), Peter Goddard (physicist), Physical Review, Physical Review Letters, Physics Letters, Presentation of a group, Quantum mechanics, Richard Earl Block, Sesquilinear form, Stephen Shenker, Stress–energy tensor, String theory, Super Virasoro algebra, Transactions of the American Mathematical Society, Two-dimensional conformal field theory, Verma module, Vertex operator algebra, Victor Kac, W-algebra, Wess–Zumino–Witten model, Witt algebra, ..., Worldsheet. Expand index (1 more) »
Alexander Belavin
Alexander "Sasha" Abramovich Belavin (Алекса́ндр Абрамо́вич Бела́вин, born 1942) is a Russian physicist, known for his contributions to string theory.
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Alexander Markovich Polyakov
Alexander Markovich Polyakov (Алекса́ндр Ма́ркович Поляко́в; born 27 September 1945) is a Russian theoretical physicist, formerly at the Landau Institute in Moscow and, since 1990, at Princeton University.
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Alexander Zamolodchikov
Alexander Borissowitsch Zamolodchikov (Алекса́ндр Бори́сович Замоло́дчиков; born September 18, 1952) is a Russian physicist, known for his contributions to condensed matter physics, two-dimensional conformal field theory, and string theory, and is currently the C.N. Yang/Wei Deng Endowed Chair of Physics at Stony Brook University.
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Élie Cartan
Élie Joseph Cartan, ForMemRS (9 April 1869 – 6 May 1951) was an influential French mathematician who did fundamental work in the theory of Lie groups and their geometric applications.
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Central charge
In theoretical physics, a central charge is an operator Z that commutes with all the other symmetry operators.
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Circolo Matematico di Palermo
The Circolo Matematico di Palermo (Mathematical Circle of Palermo) is an Italian mathematical society, founded in Palermo by Sicilian geometer Giovanni B. Guccia in 1884.
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Communications in Mathematical Physics
Communications in Mathematical Physics is a peer-reviewed academic journal published by Springer.
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Conformal field theory
A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations.
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Conformal map
In mathematics, a conformal map is a function that preserves angles locally.
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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).
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Daniel Friedan
Daniel Harry Friedan (born October 3, 1948) is an American theoretical physicist and one of three children of the feminist author and activist Betty Friedan.
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David Olive
David Ian Olive CBE FRS FLSW (16 April 1937 – 7 November 2012) was a British theoretical physicist. Olive made fundamental contributions to string theory and duality theory, he is particularly known for his work on the GSO projection and Montonen–Olive duality. He was Professor of physics at Imperial College, London from 1984 to 1992. In 1992 he moved to Swansea University to help set up the new theoretical physics group. He was awarded the Dirac Prize and Medal of the International Centre for Theoretical Physics in 1997. He was a Founding Fellow of the Learned Society of Wales. He was elected as a fellow of the Royal Society in 1987, and appointed CBE in 2002.
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Dual resonance model
In theoretical physics, a dual resonance model arose during the early investigation (1968–1973) of string theory as an S-matrix theory of the strong interaction.
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Ernst Witt
Ernst Witt (26 June 1911 – 3 July 1991) was a German mathematician, one of the leading algebraists of his time.
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Goddard–Thorn theorem
In mathematics, and in particular, in the mathematical background of string theory, the Goddard–Thorn theorem (also called the no-ghost theorem) is a theorem describing properties of a functor that quantizes bosonic strings.
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Gramian matrix
In linear algebra, the Gram matrix (Gramian matrix or Gramian) of a set of vectors v_1,\dots, v_n in an inner product space is the Hermitian matrix of inner products, whose entries are given by G_.
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Grassmann number
In mathematical physics, a Grassmann number, named after Hermann Grassmann (also called an anticommuting number or supernumber), is an element of the exterior algebra over the complex numbers.
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Heisenberg group
In mathematics, the Heisenberg group H, named after Werner Heisenberg, is the group of 3×3 upper triangular matrices of the form \end under the operation of matrix multiplication.
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Israel Gelfand
Israel Moiseevich Gelfand, also written Israïl Moyseyovich Gel'fand, or Izrail M. Gelfand (ישראל געלפֿאַנד, Изра́иль Моисе́евич Гельфа́нд; – 5 October 2009) was a prominent Soviet mathematician.
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Jacobi identity
In mathematics the Jacobi identity is a property of a binary operation which describes how the order of evaluation (the placement of parentheses in a multiple product) affects the result of the operation.
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Kac–Moody algebra
In mathematics, a Kac–Moody algebra (named for Victor Kac and Robert Moody, who independently discovered them) is a Lie algebra, usually infinite-dimensional, that can be defined by generators and relations through a generalized Cartan matrix.
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Lie algebra
In mathematics, a Lie algebra (pronounced "Lee") is a vector space \mathfrak g together with a non-associative, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g; (x, y) \mapsto, called the Lie bracket, satisfying the Jacobi identity.
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Lie conformal algebra
A Lie conformal algebra is in some sense a generalization of a Lie algebra in that it too is a "Lie algebra," though in a different pseudo-tensor category.
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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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Linear span
In linear algebra, the linear span (also called the linear hull or just span) of a set of vectors in a vector space is the intersection of all subspaces containing that set.
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Mathematics
Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.
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Miguel Ángel Virasoro (physicist)
Miguel Ángel Virasoro (born 1940 in Argentina) is an Argentine physicist who has done most of his work in Italy.
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N = 2 superconformal algebra
In mathematical physics, the 2D N.
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Nuclear Physics (journal)
Nuclear Physics is a peer-reviewed scientific journal published by Elsevier.
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Partition (number theory)
In number theory and combinatorics, a partition of a positive integer n, also called an integer partition, is a way of writing n as a sum of positive integers.
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Peter Goddard (physicist)
Peter Goddard CBE FRS (born 3 September 1945) is a mathematical physicist who works in string theory and conformal field theory.
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Physical Review
Physical Review is an American peer-reviewed scientific journal established in 1893 by Edward Nichols.
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Physical Review Letters
Physical Review Letters (PRL), established in 1958, is a peer-reviewed, scientific journal that is published 52 times per year by the American Physical Society.
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Physics Letters
Physics Letters was a scientific journal published from 1962 to 1966, when it split in two series now published by Elsevier.
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Presentation of a group
In mathematics, one method of defining a group is by a presentation.
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Quantum mechanics
Quantum mechanics (QM; also known as quantum physics, quantum theory, the wave mechanical model, or matrix mechanics), including quantum field theory, is a fundamental theory in physics which describes nature at the smallest scales of energy levels of atoms and subatomic particles.
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Richard Earl Block
Richard Earl Block (born 1931) is a mathematician at the University of California, Riverside who works on Lie algebras over fields of prime characteristic.
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Sesquilinear form
In mathematics, a sesquilinear form is a generalization of a bilinear form that, in turn, is a generalization of the concept of the dot product of Euclidean space.
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Stephen Shenker
Stephen Hart Shenker (born 1953) is an American theoretical physicist who works on string theory.
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Stress–energy tensor
The stress–energy tensor (sometimes stress–energy–momentum tensor or energy–momentum tensor) is a tensor quantity in physics that describes the density and flux of energy and momentum in spacetime, generalizing the stress tensor of Newtonian physics.
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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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Super Virasoro algebra
In mathematical physics, a super Virasoro algebra is an extension of the Virasoro algebra to a Lie superalgebra.
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Transactions of the American Mathematical Society
The Transactions of the American Mathematical Society is a monthly peer-reviewed scientific journal of mathematics published by the American Mathematical Society.
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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.
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Verma module
Verma modules, named after Daya-Nand Verma, are objects in the representation theory of Lie algebras, a branch of mathematics.
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Vertex operator algebra
In mathematics, a vertex operator algebra (VOA) is an algebraic structure that plays an important role in two-dimensional conformal field theory and string theory.
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Victor Kac
Victor Gershevich (Grigorievich) Kac (Виктор Гершевич (Григорьевич) Кац; born 19 December 1943 in Buguruslan, Russia, USSR) is a Soviet and American mathematician at MIT, known for his work in representation theory.
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W-algebra
In conformal field theory and representation theory, a W-algebra is an algebra that generalizes the Virasoro algebra.
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Wess–Zumino–Witten model
In theoretical physics and mathematics, a Wess–Zumino–Witten (WZW) model, also called a Wess–Zumino–Novikov–Witten model, is a type of two-dimensional conformal field theory named after Julius Wess, Bruno Zumino, Sergei Novikov and Edward Witten.
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Witt algebra
In mathematics, the complex Witt algebra, named after Ernst Witt, is the Lie algebra of meromorphic vector fields defined on the Riemann sphere that are holomorphic except at two fixed points.
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Worldsheet
In string theory, a worldsheet is a two-dimensional manifold which describes the embedding of a string in spacetime.
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Kac determinant, Kac determinant formula, Kač determinant, Virasoro operator, Virasoro operators.
References
[1] https://en.wikipedia.org/wiki/Virasoro_algebra
