A Mirror Symmetric Solution to the Quantum Toda Lattice
| Autor: | Konstanze Rietsch |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Pure mathematics
Conjecture Flag (linear algebra) Superpotential Statistical and Nonlinear Physics Type (model theory) Critical point (mathematics) Quantum mechanics FOS: Mathematics Representation Theory (math.RT) Variety (universal algebra) Toda lattice Quantum Mathematics - Representation Theory 14N35 14M17 57T15 Mathematical Physics Mathematics |
| Zdroj: | Communications in Mathematical Physics. 309:23-49 |
| ISSN: | 1432-0916 0010-3616 |
| Popis: | We use representation theory to construct integral formulas for solutions to the quantum Toda lattice in general type. This result generalizes work of Givental for SL(n)/B in a uniform way to arbitrary type and can be interpreted as a kind of mirror theorem for the full flag variety G/B. We also prove the existence of a totally positive critical point of the 'superpotential' in every mirror fiber. 25 pages, various improvements including to references, to appear in CMP |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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