Defects and quantum Seiberg-Witten geometry

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

Abstract

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.

Citation

Bullimore, M., Kim, H., & Koroteev, P. (2015). Defects and quantum Seiberg-Witten geometry. Journal of High Energy Physics, 2015(05), Article 095. https://doi.org/10.1007/jhep05%282015%29095

• 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
• DOI: https://doi.org/10.1007/jhep05%282015%29095