Affine, Vertex and W-algebras

  • Dražen Adamović
  • Paolo Papi

Part of the Springer INdAM Series book series (SINDAMS, volume 37)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Dražen Adamović, Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi, Ozren Perše
    Pages 1-22
  3. Dan Barbasch, Pavle Pandžić
    Pages 23-36
  4. Katrina Barron, Nathan Vander Werf, Jinwei Yang
    Pages 37-64
  5. Shashank Kanade, David Ridout
    Pages 135-181
  6. Antun Milas, Michael Penn, Josh Wauchope
    Pages 183-202

About this book


This book focuses on recent developments in the theory of vertex algebras, with particular emphasis on affine vertex algebras, affine W-algebras, and W-algebras appearing in physical theories such as logarithmic conformal field theory. It is widely accepted in the mathematical community that the best way to study the representation theory of affine Kac–Moody algebras is by investigating the representation theory of the associated affine vertex and W-algebras. In this volume, this general idea can be seen at work from several points of view. Most relevant state of the art topics are covered, including fusion, relationships with finite dimensional Lie theory, permutation orbifolds, higher Zhu algebras, connections with combinatorics, and mathematical physics. The volume is based on the INdAM Workshop Affine, Vertex and W-algebras, held in Rome from 11 to 15 December 2017. It will be of interest to all researchers in the field.


Vertex Algebras Representation Theory Integrable system Kac-Moody Lie algebra Affine Lie algebra

Editors and affiliations

  • Dražen Adamović
    • 1
  • Paolo Papi
    • 2
  1. 1.Faculty of Science and Department of MathematicsUniversity of ZagrebZagrebCroatia
  2. 2.Department of MathematicsSapienza University of RomeRomeItaly

Bibliographic information