| Titel | Quantum Curves and D-Modules |
|---|---|
| Auteur | Dijkgraaf, R.H.; Hollands, L.; Sulkowski, P. |
| Datum | 2008 |
| Type | artikel |
| Samenvatting | In this article we continue our study of chiral fermions on a quantum curve. This system is embedded in string theory as an I-brane configuration, which consists of D4 and D6-branes intersecting along a holomorphic curve in a complex surface, together with a B-field. Mathematically, it is described by a holonomic D-module. Here we focus on spectral curves, which play a prominant role in the theory of (quantum) integrable hierarchies. We show how to associate a quantum state to the I-brane system, and subsequently how to compute quantum invariants. As a first example, this yields an insightful formulation of (double scaled as well as general Hermitian) matrix models. Secondly, our formalism elegantly reconstructs the complete dual Nekrasov-Okounkov partition function from a quantum Seiberg-Witten curve. |
| Publicatie | http://depot.knaw.nl/3873/ |
| Persistent Identifier | URN:NBN:NL:UI:17-3873 |
| Metadata | XML |
| Repository | KNAW |
Omhoog
Ga terug naar de inhoud
Ga terug naar de site navigatie