Vertex Algebras and Geometry

This book contains the proceedings of the AMS Special Session on Vertex Algebras and Geometry, held from October 8-9, 2016, and the mini-conference on Vertex Algebras, held from October 10-11, 2016, in Denver, Colorado. The papers cover vertex algebras in connection with geometry and tensor categori...

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Bibliographische Detailangaben
Hauptverfasser:	Creutzig, Thomas, Linshaw, Andrew R
Format:	E-Book
Sprache:	Englisch
Veröffentlicht:	Providence American Mathematical Society 2018
Ausgabe:	1
Schlagworte:	Geometry, Algebraic-Congresses Groups and algebras in quantum theory Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, $W$-algebras and other current algebras and their representations.-msc Lie algebras and Lie superalgebras Nonassociative rings and algebras Operator algebras-Congresses Quantum theory vertex operator algebras and related structures.-msc Vertex operator algebras-Congresses Vertex operators
ISBN:	9781470437176, 1470437171
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Inhaltsangabe:

Cover -- Title page -- Contents -- Introduction -- Strongly homotopy chiral algebroids -- 1. Introduction -- 2. TDO -- 3. Picard-Lie ∞-algebroids -- 4. Beilinson-Drinfeld -- 5. CDO -- 6. Chiral ∞-algebroids -- References -- Associated varieties and Higgs branches (a survey) -- 1. Associated varieties of vertex algebras -- 2. Lisse and quasi-lisse vertex algebras -- 3. Irreducibility conjecture and examples of quasi-lisse vertex algebras -- 4. BL²PR² correspondence and Higgs branch conjecture -- Acknowledgments -- References -- Vertex rings and their Pierce bundles -- 1. Introduction -- 2. Basic properties of vertex rings -- 3. Derivations -- 4. Characterizations of vertex rings -- 5. Categories of vertex rings -- 6. The center of a vertex ring -- 7. Virasoro vertex -algebras -- 8. Étale bundles of vertex rings -- 9. Pierce bundles of vertex rings -- 10. Von Neumann regular vertex rings -- 11. Equivalence of some categories of vertex rings -- 12. Appendices -- References -- Cosets of the ^{ }( ₄, _{ })-algebra -- 1. Introduction -- 2. Vertex algebras -- 3. The algebra \cW^{ }( ₄, _{ }) -- 4. The (1)-orbifold of \cW^{ }( ₄, _{ })^{ (1)} -- 5. The Heisenberg coset of \cW^{ }( ₄, _{ }) -- 6. Simple current extensions and \cW_{ℓ}( _{ }, _{ }) -- References -- A sufficient condition for convergence and extension property for strongly graded vertex algebras -- 1. Introduction -- 2. Strongly graded vertex algebras and their modules -- 3. ₁-cofiniteness condition -- 4. Logarithmic intertwining operators -- 5. Differential equations -- 6. The regularity of the singular points -- 7. Braided tensor category structure -- References -- On infinite order simple current extensions of vertex operator algebras -- 1. Introduction -- 2. Background -- 3. Sum completion of a category \CCC -- 4. Constructing lattice VOAs
Acknowledgments -- References -- Back Cover