In mathematics, a vertex operator algebra (VOA) is an algebraic structure that plays an important role in two-dimensional conformal field theory and string...
52 KB (8,900 words) - 18:57, 26 January 2024
of operators on a Hilbert space Vertex operator algebra – Algebra used in 2D conformal field theories and string theory Theory of Operator Algebras I By...
5 KB (545 words) - 03:03, 6 May 2024
non-perturbative approach to quantum field theory. One example is the vertex operator algebra, which has been used to construct two-dimensional conformal field...
6 KB (1,042 words) - 04:06, 17 May 2024
The monster vertex algebra (or moonshine module) is a vertex algebra acted on by the monster group that was constructed by Igor Frenkel, James Lepowsky...
2 KB (200 words) - 05:05, 13 May 2024
a type of statistical mechanics model Vertex operator algebra in conformal field theory Media related to Vertex at Wikimedia Commons This disambiguation...
2 KB (324 words) - 19:56, 1 January 2024
different Poisson algebra, one that would be much larger. For a vertex operator algebra (V,Y, ω, 1), the space V/C2(V) is a Poisson algebra with {a, b} =...
6 KB (820 words) - 21:58, 24 May 2024
moonshine is now known to be underlain by a vertex operator algebra called the moonshine module (or monster vertex algebra) constructed by Igor Frenkel, James...
34 KB (4,485 words) - 06:11, 7 May 2024
algebra Symmetric algebra Tensor algebra Universal enveloping algebra Vertex operator algebra von Neumann algebra Weyl algebra Zinbiel algebra This is a list...
2 KB (226 words) - 16:33, 17 January 2024
the vertex operator algebra. Affine Lie algebra Chiral model Jordan map Virasoro algebra Vertex operator algebra Kac–Moody algebra Goldin 2006 Kac, Victor...
6 KB (832 words) - 08:54, 14 July 2023
constructed from a given vertex operator algebra. Many important representation theoretic properties of the vertex algebra are logically related to properties...
8 KB (1,181 words) - 21:20, 1 February 2024
structure. Vertex operator algebra Von Neumann algebra: a *-algebra of operators on a Hilbert space equipped with the weak operator topology. Algebraic structures...
20 KB (2,684 words) - 12:17, 9 April 2024
(1988). Vertex operator algebras and the Monster. Pure and Applied Mathematics. Vol. 134. Academic Press. ISBN 0-12-267065-5. Kac, Victor (1996). Vertex algebras...
4 KB (514 words) - 15:59, 22 May 2024
2017-10-25. Frenkel, Igor; Lepowsky, James; Meurman, Arne (1988). Vertex Operator Algebras and the Monster. Pure and Applied Mathematics. Vol. 134. Academic...
123 KB (15,352 words) - 18:50, 24 April 2024
Chern–Simons form (category Algebraic topology)
Geometric Invariants," from which the theory arose. Given a manifold and a Lie algebra valued 1-form A {\displaystyle \mathbf {A} } over it, we can define a family...
5 KB (611 words) - 20:14, 30 December 2023
Virasoro–Shapiro amplitude, the Virasoro algebra, the super Virasoro algebra, the Virasoro vertex operator algebra, the Virasoro group, the Virasoro conjecture...
14 KB (1,331 words) - 14:26, 25 January 2024
of verb–object–subject; a language-classification type Vertex operator algebra, an algebraic structure used in conformal field theory Visa on Arrival...
1 KB (210 words) - 15:16, 21 April 2024
distributions. They are important in the study of vertex operator algebras, since the vertex operator playing a central role in the theory takes values...
6 KB (1,128 words) - 11:22, 24 August 2023
a Kac–Moody algebra (named for Victor Kac and Robert Moody, who independently and simultaneously discovered them in 1968) is a Lie algebra, usually infinite-dimensional...
16 KB (2,467 words) - 13:54, 15 March 2023
a Romanian Swedish mathematician. His scientific work included vertex operator algebra and zero distribution of polynomials and entire functions, via...
11 KB (1,275 words) - 06:04, 12 January 2024
Invent. Math. 79 (1985), 417-442. Stefano Capparelli, Vertex operator relations for affine algebras and combinatorial identities, Thesis (Ph.D.)–Rutgers...
39 KB (5,920 words) - 06:26, 10 May 2024
Calabi–Yau manifold (redirect from Calabi–Yau algebra)
In algebraic and differential geometry, a Calabi–Yau manifold, also known as a Calabi–Yau space, is a particular type of manifold which has properties...
24 KB (3,212 words) - 20:31, 21 May 2024
Wess–Zumino–Witten model (section Symmetry algebra)
group (or supergroup), and its symmetry algebra is the affine Lie algebra built from the corresponding Lie algebra (or Lie superalgebra). By extension, the...
21 KB (3,663 words) - 03:22, 28 May 2024
Supersymmetry (section The supersymmetry algebra)
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...
68 KB (7,506 words) - 23:59, 27 May 2024
Thompson group acts on a vertex operator algebra over the field with 3 elements. This vertex operator algebra contains the E8 Lie algebra over F3, giving the...
4 KB (562 words) - 14:00, 15 May 2024
744 (number) (section Abstract algebra)
Lie algebra g 2 {\displaystyle {\mathfrak {g_{2}}}} , which embeds inside e 8 {\displaystyle {\mathfrak {e_{8}}}} . In the form of a vertex operator algebra...
181 KB (27,489 words) - 18:23, 21 May 2024
mathematics that describes geometric shapes in algebraic terms and solves geometric problems using algebraic equations. On the other hand, the Fukaya category...
8 KB (1,019 words) - 04:12, 26 February 2024
Virasoro algebra Mirror symmetry Conformal anomaly Conformal algebra Superconformal algebra Vertex operator algebra Loop algebra Kac–Moody algebra Wess–Zumino–Witten...
165 KB (18,644 words) - 05:29, 27 May 2024
Superstring theory (section Kac–Moody algebras)
mathematical structure called composition algebra. In the findings of abstract algebra there are just seven composition algebras over the field of real numbers....
26 KB (2,978 words) - 23:03, 13 April 2024
In mathematics, loop algebras are certain types of Lie algebras, of particular interest in theoretical physics. For a Lie algebra g {\displaystyle {\mathfrak...
6 KB (960 words) - 03:19, 13 May 2024
2013-01-27. Frenkel, Igor; Lepowsky, James; Meurman, Arne (1988). Vertex operator algebras and the Monster. Pure and Applied Mathematics. Vol. 134. Boston:...
4 KB (235 words) - 19:34, 28 August 2023