W symmetry in conformal field theory

P Bouwknegt, K Schoutens - Physics Reports, 1993 - Elsevier
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Integrals of motion and quantum groups

R Donagi, B Dubrovin, E Frenkel, E Previato… - … at the 1st Session of the …, 1996 - Springer
4. Quantum Toda field theories 4.1. Vertex operator algebras 4.2. The VOA of the
Heisenberg algebra 4.3. Quantum integrals of motion 4.4. Liouville theory 4.5. Quantum …

[图书][B] Introduction to vertex operator algebras and their representations

J Lepowsky, H Li - 2004 - books.google.com
Vertex operator algebra theory is a new area of mathematics. It has been an exciting and
ever-growing subject from the beginning, starting even before R. Borcherds introduced the …

[图书][B] Vertex algebras and algebraic curves

E Frenkel, D Ben-Zvi - 2004 - books.google.com
Vertex algebras are algebraic objects that encapsulate the concept of operator product
expansion from two-dimensional conformal field theory. Vertex algebras are fast becoming …

Vertex algebras at the corner

D Gaiotto, M Rapčák - Journal of High Energy Physics, 2019 - Springer
A bstract We introduce a class of Vertex Operator Algebras which arise at junctions of
supersymmetric interfaces in\(\mathcal {N}\)= 4 Super Yang Mills gauge theory. These vertex …

[PDF][PDF] Quantum reduction for affine superalgebras

VG Kac, SS Roan, M Wakimoto - arXiv preprint math-ph/0302015, 2003 - arxiv.org
arXiv:math-ph/0302015v1 7 Feb 2003 Page 1 arXiv:math-ph/0302015v1 7 Feb 2003 Quantum
Reduction for Affine Superalgebras Victor Kac Department of Mathematics, MIT Cambridge, MA …

Chiral algebras of class

C Beem, W Peelaers, L Rastelli… - Journal of High Energy …, 2015 - Springer
A bstract Four-dimensional\(\mathcal {N}\)= 2 superconformal field theories have families of
protected correlation functions that possess the structure of two-dimensional chiral algebras …

Finite vs affine W-algebras

A De Sole, VG Kac - Japanese Journal of Mathematics, 2006 - Springer
In Section 1 we review various equivalent definitions of a vertex algebra V. The main novelty
here is the definition in terms of an indefinite integral of the λ-bracket. In Section 2 we …

Quantum reduction and representation theory of superconformal algebras

VG Kac, M Wakimoto - Advances in Mathematics, 2004 - Elsevier
Quantum reduction and representation theory of superconformal algebras Page 1 http://www.elsevier.com/locate/aim
Advances in Mathematics 185 (2004) 400–458 Quantum reduction and representation …

[PDF][PDF] Characters and fusion rules for -algebras via quantized Drinfel'd-Sokolov reduction

E Frenkel, V Kac, M Wakimoto - 1992 - projecteuclid.org
Mathematical Physics Characters and Fusion Rules forW-Algebras via Quantized Drinfeld-Sokolov
Reduction Page 1 commun. Math. Phys. 147,295-328 (1992) Communications in Mathematical …