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Superconformal algebra information


In theoretical physics, the superconformal algebra is a graded Lie algebra or superalgebra that combines the conformal algebra and supersymmetry. In two dimensions, the superconformal algebra is infinite-dimensional. In higher dimensions, superconformal algebras are finite-dimensional and generate the superconformal group (in two Euclidean dimensions, the Lie superalgebra does not generate any Lie supergroup).

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Superconformal algebra

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

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Supersymmetry algebra

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super-Poincaré algebra. Adinkra symbols Super-Poincaré algebra Superconformal algebra Supersymmetry algebras in 1 + 1 dimensions N = 2 superconformal algebra Bagger...

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Vertex operator algebra

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superstring theory. The N=1, 2, and 4 superconformal algebras are of particular importance. Infinitesimal holomorphic superconformal transformations of a supercurve...

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Virasoro algebra

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these algebras with more supersymmetry, such as the N = 2 superconformal algebra. W-algebras are associative algebras which contain the Virasoro algebra, and...

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Super Virasoro algebra

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the edges of the open string. N = 2 superconformal algebra NS–NS sector Ramond–Ramond sector Superconformal algebra Ramond, P. (1971-05-15). "Dual Theory...

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Supersymmetry

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algebra requires the introduction of a Z2-grading under which the bosons are the even elements and the fermions are the odd elements. Such an algebra...

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Superstring theory

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mathematical structure called composition algebra. In the findings of abstract algebra there are just seven composition algebras over the field of real numbers....

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Tachyon

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Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal algebra Vertex operator algebra Loop algebra Kac–Moody algebra Wess–Zumino–Witten...

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Black hole

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Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal algebra Vertex operator algebra Loop algebra Kac–Moody algebra Wess–Zumino–Witten...

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Holographic principle

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American. p. 59. Maldacena, Juan (March 1998). "The large $N$ limit of superconformal field theories and supergravity". Advances in Theoretical and Mathematical...

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Umbral moonshine

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sigma-model conformal field theory has an action of the N=(4,4) superconformal algebra, arising from a hyperkähler structure. When Tohru Eguchi, Hirosi...

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Primary field

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dimensions, superconformal field theories are invariant under super Virasoro algebras, which include infinitely many fermionic operators. Superconformal primaries...

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Brane

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mathematics that describes geometric shapes in algebraic terms and solves geometric problems using algebraic equations. On the other hand, the Fukaya category...

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Conformal symmetry

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Coleman–Mandula theorem Renormalization group Scale invariance Superconformal algebra Conformal Killing equation "gravity - What makes General Relativity...

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Lie superalgebra

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In mathematics, a Lie superalgebra is a generalisation of a Lie algebra to include a Z / 2 Z {\displaystyle \mathbb {Z} /2\mathbb {Z} } ‑grading. Lie...

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List of quantum field theories

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(sQCD) N = 4 supersymmetric Yang–Mills theory ABJM superconformal field theory 6D (2,0) superconformal field theory Theories studied in the branch of quantum...

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String theory

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Schwarz, Albert (1998). "Instantons on noncommutative R4 and (2,0) superconformal six dimensional theory". Communications in Mathematical Physics. 198...

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Graviton

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Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal algebra Vertex operator algebra Loop algebra Kac–Moody algebra Wess–Zumino–Witten...

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Bosonic string theory

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Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal algebra Vertex operator algebra Loop algebra Kac–Moody algebra Wess–Zumino–Witten...

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Superspace

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Clifford algebra associated to the Lorentz group. Equivalently, the super Minkowski space can be understood as the quotient of the super Poincaré algebra modulo...

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