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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Hlavní autoři: Creutzig, Thomas, Linshaw, Andrew R
Médium: E-kniha
Jazyk:angličtina
Vydáno: Providence American Mathematical Society 2018
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ISBN:9781470437176, 1470437171
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Abstract 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 categories, with topics in vertex rings, chiral algebroids, the Higgs branch conjecture, and applicability and use of vertex tensor categories.
AbstractList 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 categories, with topics in vertex rings, chiral algebroids, the Higgs branch conjecture, and applicability and use of vertex tensor categories.
Author Linshaw, Andrew R
Creutzig, Thomas
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Snippet 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...
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SourceType Publisher
SubjectTerms 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
TableOfContents 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
Title Vertex Algebras and Geometry
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