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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), ISSN 1815-0659, 2012, Volume 8, p. 040
Journal Article
Journal Article
Journal of Algebra, ISSN 0021-8693, 04/2018, Volume 500, pp. 117 - 152
Journal Article
JOURNAL OF HIGH ENERGY PHYSICS, ISSN 1029-8479, 05/2019, Volume 2019, Issue 5, pp. 1 - 39
We introduce two mirror constructions of Vertex Operator Algebras associated to special boundary conditions in 3d N = 4 gauge theories... 
Duality in Gauge Field Theories | BOUNDARY-CONDITIONS | Conformal Field Theory | Extended Supersymmetry | TOPOLOGICAL FIELD-THEORY | S-DUALITY | Topological Field Theories | PHYSICS, PARTICLES & FIELDS | Analysis | Algebra | Boundary conditions
Journal Article
Journal of Algebra, ISSN 0021-8693, 03/2020, Volume 546, pp. 689 - 702
Herein we study conformal vectors of a Z-graded vertex algebra of (strong) CFT type. We prove that the full vertex algebra automorphism group transitively acts... 
Conformal vectors | Conformal field theory | Vertex operator algebras | The Monster group | Vertex Algebras | MATHEMATICS | MOONSHINE | Mathematics - Quantum Algebra
Journal Article
Advances in Mathematics, ISSN 0001-8708, 2008, Volume 217, Issue 6, pp. 2664 - 2699
We study the triplet vertex operator algebra W ( p ) of central charge 1 − 6 ( p − 1 ) 2 p , p ⩾ 2 . We show that W ( p ) is C 2 -cofinite but irrational since it admits indecomposable and logarithmic modules... 
Vertex algebras | [formula omitted]-algebras | Logarithmic conformal field theory | W-algebras | MATHEMATICS | vertex algebras | FUSION | REPRESENTATIONS | W1+INFINITY | CONFORMAL FIELD-THEORIES | MODULAR-INVARIANCE | OPERATOR-ALGEBRAS | logarithmic conformal field theory | CHARACTERS
Journal Article
Journal of Algebra, ISSN 0021-8693, 01/2014, Volume 397, pp. 252 - 277
Unitary vertex operator algebras are introduced and studied. It is proved that most well-known rational vertex operator algebras are unitary... 
Unitary vertex operator algebras | MATHEMATICS | MODULAR-INVARIANCE | EVEN LATTICES | REPRESENTATIONS | CONFORMAL NETS | Algebra
Journal Article
Nuclear Physics, Section B, ISSN 0550-3213, 2009, Volume 823, Issue 3, pp. 320 - 371
...) mass, and construct vertex algebra representations of sv out of a charged symplectic boson and a free boson and its associated vertex operators. We also compute two- and three-point functions of still conjectural massive fields that are defined by an analytic continuation with respect to a formal parameter. 
Supersymmetry | Schrödinger-invariance | Infinite-dimensional Lie algebras | Non-equilibrium statistical physics | Conformal field-theory | Algebraic structure of integrable models | Correlation functions | Schrodinger-invariance | LOCAL SCALE-INVARIANCE | EQUATIONS | PHASE-ORDERING KINETICS | CONFORMAL-INVARIANCE | SYMMETRY | SYSTEMS | PHYSICS, PARTICLES & FIELDS | Condensed Matter | Statistical Mechanics | Mathematical Physics | Physics
Journal Article
Communications in Contemporary Mathematics, ISSN 0219-1997, 05/2020, Volume 22, Issue 3, p. 1950024
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 8/2015, Volume 337, Issue 3, pp. 1143 - 1159
Let V be a vertex operator algebra satisfying suitable conditions such that in particular its module category has a natural vertex tensor category structure, and consequently, a natural braided tensor category structure... 
Quantum Physics | Statistical Physics, Dynamical Systems and Complexity | Mathematical Physics | Classical and Quantum Gravitation, Relativity Theory | Theoretical, Mathematical and Computational Physics | Physics | PRODUCT THEORY | CONFORMAL FIELD-THEORY | PHYSICS, MATHEMATICAL | MODULE CATEGORIES | Algebra
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 12/2018, Volume 108, Issue 12, pp. 2543 - 2587
Journal Article
Journal of High Energy Physics, ISSN 1126-6708, 3/2019, Volume 2019, Issue 3, pp. 1 - 50
Journal Article
International Journal of Modern Physics B, ISSN 0217-9792, 11/2016, Volume 30, Issue 28n29, p. 1640030
Starting from Zhu recursion formulas for correlation functions for vertex operator algebras with formal parameters associated to local coordinates around marked points on a Riemann surfaces... 
vertex operator algebras | Riemann surfaces | Cluster algebras | PHYSICS, CONDENSED MATTER | PHYSICS, APPLIED | ENSEMBLES | N-POINT FUNCTIONS | MODULAR INVARIANCE | CONFORMAL FIELD-THEORIES | QUANTIZATION | PHYSICS, MATHEMATICAL | DILOGARITHM IDENTITIES | Algebra
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 12/2017, Volume 107, Issue 12, pp. 2189 - 2237
This paper focuses on the connection of holomorphic two-dimensional factorization algebras and vertex algebras which has been made precise in the forthcoming book of Costello–Gwilliam... 
Geometry | Conformal field theory | 81R10 | Theoretical, Mathematical and Computational Physics | Complex Systems | 17B65 | Group Theory and Generalizations | Virasoro vertex algebra | 18G55 | Physics | Factorization algebras | BV quantization | PHYSICS, MATHEMATICAL | Algebra
Journal Article
Advances in Mathematics, ISSN 0001-8708, 05/2018, Volume 330, pp. 1160 - 1208
We find a necessary and sufficient condition for the existence of the tensor product of modules over a vertex algebra... 
Tensor product | Vertex algebra | MATHEMATICS | CONFORMAL FIELD-THEORY | OPERATOR-ALGEBRAS | CATEGORIES
Journal Article
Journal of Pure and Applied Algebra, ISSN 0022-4049, 11/2016, Volume 220, Issue 11, pp. 3628 - 3649
We give two constructions of grading-restricted vertex (super)algebras. We first give a new construction of a class of grading-restricted vertex (super... 
MATHEMATICS | MATHEMATICS, APPLIED | CONFORMAL FIELD-THEORY | OPERATOR-ALGEBRAS | Algebra
Journal Article
Communications in Mathematical Physics, ISSN 0010-3616, 7/2014, Volume 329, Issue 1, pp. 263 - 294
Journal Article