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Affine, Vertex and W-algebras de Dražen Adamović

Affine, Vertex and W-algebras: Springer INdAM Series, cartea 37

Editat de Dražen Adamović, Paolo Papi
en Limba Engleză Paperback – 11 dec 2020
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.

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Specificații

ISBN-13: 9783030329082
ISBN-10: 3030329089
Pagini: 218
Ilustrații: IX, 218 p. 10 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.33 kg
Ediția:1st ed. 2019
Editura: Springer International Publishing
Colecția Springer
Seria Springer INdAM Series

Locul publicării:Cham, Switzerland

Cuprins

1 Dražen Adamović, Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi and Ozren Perše, Kostant’s pair of Lie type and conformal embeddings.- 2 Dan Barbasch and Pavle Pandžić, Twisted Dirac index and applications to characters.- 3 Katrina Barron, Nathan Vander Werf, and Jinwei Yang, The level one Zhu algebra for the Heisenberg vertex operator algebra.- 4 Marijana Butorac, Quasi-particle bases of principal subspaces of affine Lie algebras.- 5 Alessandro D’Andrea, The Poisson Lie algebra, Rumin’s complex and base change.- 6 Alberto De Sole, Classical and quantum W -algebras and applications to Hamiltonian equations.- 7 Shashank Kanade and David Ridout, NGK and HLZ: fusion for physicists and mathematicians.- 8 Antun Milas and Michael Penn and Josh Wauchope, Permutation orbifolds of rank three fermionic vertex superalgebras.- 9 Mirko Primc, Some combinatorial coincidences for standard representations of affine Lie algebras.

Notă biografică

Dražen Adamović  is Full Professor of Mathematics  at the University of Zagreb, Croatia. He received his PhD in Mathematics from the University of Zagreb. He is the author of more than 50 peer-reviewed research publications on the representation theory of vertex algebras, W-algebras, and infinite-dimensional Lie algebras, with special emphasis on vertex algebras appearing in conformal field theory.
Paolo Papi is Full Professor of Geometry at Sapienza University of Rome, Italy. He received his PhD in Mathematics from the University of Pisa. He is the author of more than 40 peer-reviewed research publications on Lie theory, algebraic combinatorics, representation theory of Lie algebras, and superalgebras, with special emphasis on combinatorics of root systems and infinite dimensional structures (affine Lie algebras, vertex algebras).

Textul de pe ultima copertă

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.

Caracteristici

Stimulating research papers in a very active research area Coverage of recent developments in state of the art topics Postgrad course notes on relationships between vertex algebra theory and the theory of integrable Hamiltonian equation