Cargando…
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
[2018]
|
| Colección: | Contemporary mathematics (American Mathematical Society) ;
v. 711. |
| Temas: |
Quantum theory
> 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.
|
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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. Derivations4. 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 \CCC4. Constructing lattice VOAs; Acknowledgments; References; Back Cover