Quantum Curves and D-Modules

Details Quantum Curves and D-Modules Quantum Curves and D-Modules

2008-10-22

arxiv.org/abs/0810.4157v2

JHEP 0911:047,2009

Physics

High Energy Physics

High Energy Physics - Theory

63 pages, 9 figures; revised published version

Scientific paper

10.1088/1126-6708/2009/11/047

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.

Affiliated with

Also associated with

No associations

Rating

Quantum Curves and D-Modules does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum Curves and D-Modules, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum Curves and D-Modules will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-679878