Localization of Affine W-Algebras
| Autor: | Fyodor Malikov, Tomoyuki Arakawa, Toshiro Kuwabara |
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| Rok vydání: | 2014 |
| Předmět: |
Nilpotent cone
Pure mathematics Statistical and Nonlinear Physics Differential operator Mathematics - Algebraic Geometry symbols.namesake Critical level Localization theorem FOS: Mathematics symbols Affine transformation Hamiltonian (quantum mechanics) Algebraic Geometry (math.AG) Mathematical Physics Mathematics |
| Zdroj: | Communications in Mathematical Physics |
| ISSN: | 1432-0916 0010-3616 |
| DOI: | 10.1007/s00220-014-2183-x |
| Popis: | We introduce the notion of an asymptotic algebra of chiral differential operators. We then construct, via a chiral Hamiltonian reduction, one such algebra over a resolution of the intersection of the Slodowy slice with the nilpotent cone. We compute the space of global sections of this algebra thereby proving a localization theorem for affine W-algebras at the critical level. Comment: 36 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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