| Titel | Quantum curves and D-modules |
|---|---|
| Gepubliceerd in | The Journal of High Energy Physics, No. 11, p.047-. ISSN 11266708. |
| Auteur | Dijkgraaf, R.; Hollands, L.; Sułkowski, P. |
| Datum | 2009 |
| 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 prominent 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, we formulate c = 1 string theory in this language. Finally, our formalism elegantly reconstructs the complete dual Nekrasov-Okounkov partition function from a quantum Seiberg-Witten curve. |
| Publicatie | http://dare.uva.nl/record/358488 |
| OpenURL | Zoek deze publicatie in (uw) bibliotheek |
| Persistent Identifier | urn:nbn:nl:ui:29-358488 |
| Metadata | XML |
| Repository | Universiteit van Amsterdam |
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