Skip to main content

Research Repository

Advanced Search

Defects and quantum Seiberg-Witten geometry

Bullimore, Mathew; Kim, Hee-Cheol; Koroteev, Peter

Defects and quantum Seiberg-Witten geometry Thumbnail


Hee-Cheol Kim

Peter Koroteev


We study the Nekrasov partition function of the five dimensional U(N) gauge theory with maximal supersymmetry on ℝ4 × S 1 in the presence of codimension two defects. The codimension two defects can be described either as monodromy defects, or by coupling to a certain class of three dimensional quiver gauge theories on ℝ2 × S 1. We explain how these computations are connected with both classical and quantum integrable systems. We check, as an expansion in the instanton number, that the aforementioned partition functions are eigenfunctions of an elliptic integrable many-body system, which quantizes the Seiberg-Witten geometry of the five-dimensional gauge theory.


Bullimore, M., Kim, H., & Koroteev, P. (2015). Defects and quantum Seiberg-Witten geometry. Journal of High Energy Physics, 2015(05), Article 095.

Journal Article Type Article
Acceptance Date May 4, 2015
Online Publication Date May 19, 2015
Publication Date May 19, 2015
Deposit Date Jun 7, 2018
Publicly Available Date Jun 8, 2018
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2015
Issue 05
Article Number 095


Published Journal Article (1.3 Mb)

Publisher Licence URL

Copyright Statement
© The Author(s) 2015 Open Access This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

You might also like

Downloadable Citations