Defects and quantum Seiberg-Witten geometry

By Mathew Bullimore, Hee-Cheol Kim, P. Koroteev. 2014

158 citations recorded by the source corpus.

A bstractWe study the Nekrasov partition function of the five dimensional U(N) gauge theory with maximal supersymmetry on ℝ4 × S1 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 × S1. 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.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6a51ed110bcf5619bcd0bf005bfdd72d8710f117

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. A. Okounkov
2. Mina Aganagic
3. Marcos Mariño
4. C. Vafa
5. R. Pandharipande
6. V. Bouchard
7. A. Klemm
8. Davesh Maulik

In Nuclear and High Energy Physics

1. Mina Aganagic
2. A. Okounkov
3. C. Vafa
4. Marcos Mariño
5. A. Klemm
6. Amer Iqbal
7. R. Dijkgraaf
8. Sergei Gukov

Citations in the corpus

• Elliptic stable envelopes (2016, background): “8Difference equations arising from supersymmetric gauge theories are actively studied by physicists, see for example [23].”
• BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and qq-characters (2015, unknown): “The paper [16] contains the first few instanton checks of some of the results of our paper (for the Â0 theory).”