Field Algebras
By B. Bakalov, V. Kac. 2002
168 citations recorded by the source corpus.
. A field algebra is a “non-commutative” generalization of a vertex algebra. In this paper we develop foundations of the theory of field algebras.
Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/a11e34d3dc8f8a04187902e445711ad7f2b4e921
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- A. Sole
- V. Kac
- Dietrich Burde
- Paolo Papi
- M. Wakimoto
- Dražen Adamović
- Ozren Perše
- Pierluigi Möseneder Frajria
In Geometry and Topology
- A. Sole
- V. Kac
- Dietrich Burde
- M. Wakimoto
- Paolo Papi
- Dražen Adamović
- Ozren Perše
- Pierluigi Möseneder Frajria
In Statistical and Nonlinear Physics
- A. Sole
- V. Kac
- Dietrich Burde
- M. Wakimoto
- Paolo Papi
- Dražen Adamović
- Ozren Perše
- Pierluigi Möseneder Frajria
Citations in the corpus
- Finite vs affine W-algebras (2005, background): “ative Wick formula”, which is an analogue of the Leibniz rule, where the “quantum correction” is expressed in terms of a double λ-bracket. This is the fourth description of a vertex algebra, given in [BK], similar to the definition of a Poisson algebra. On the other hand, this definition is the most c”
- Quantum reduction and representation theory of superconformal algebras (2003, background): “universal enveloping algebras by universal enveloping vertex algebras. Proof. Since V(R) is identified with U(R−), where R− is the space Rwith the Lie superalgebra bracket [a,b] = R 0 −∂ [aλb]dλ[GMS], [BK], Lemma 3.4 follows from Lemmas 3.2 and 3.3. 9 4 The structure of the vertex algebra Wk(g,x,f) D”
- Conformal embeddings of affine vertex algebras in minimal W-algebras I: Structural results (2016, background): “mple) of V ki(g♮ i). Recall that the fusion product of two subsets A,B of a vertex algebra V is A·B = span(a(n)b | n ∈ Z, a ∈ A, b ∈ B). This product is associative due to the Borcherds identity (cf. [14]). Recall that a vector v in a representation of a vertex algebra VB(a) is singular if anv = 0 f”
- Left-symmetric algebras, or pre-Lie algebras in geometry and physics (2005, methodology): “ed by the set of finite words on the alphabet {A,B}. Let ∅ denote the empty word. If x is such a word, then let x[i] denote the i-th letter of x. For 6 D.BURDE example, if x = AB2AB then x[0] = ∅ and x[4] = A. Let ℓ(x) be the length of the word x. Define an algebra product on W by the formula x ◦y = X”