D-branes and D-modules
| Authors | |
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| Publication date | 2009 |
| Journal | Progress of Theoretical Physics. Supplement |
| Event | “30 Years of Mathematical Methods in High Energy Physics” in honor of Professor Tohru Eguchi's 60th birthday |
| Volume | Issue number | 177 |
| Pages (from-to) | 12-32 |
| Organisations |
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| Abstract |
We study of chiral fermions on a quantum curve by embedding them in string theory as an intersecting D-brane configuration together with a B-field. Mathematically, this system 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 system, and subsequently how to compute quantum invariants. The material of this paper is treated at greater length in the paper [R. Dijkgraaf, L. Hollands and P. Sulkowski, arXiv:0810.4157] that also contains many examples.
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| Document type | Article |
| Note | Proceedings title: 30 Years of Mathematical Methods in High Energy Physics — In Honor of Professor Tohru Eguchi's 60th Birthday — March 17-19, 2008, Kyoto, Japan Publisher: Oxford University Press Place of publication: Oxford Editors: T. Takayanagi, S. Yahikozawa |
| Language | English |
| Published at | https://doi.org/10.1143/PTPS.177.12 |
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