Instantons on Taub-NUT space and Bow Construction

Name: Instantons on Taub-NUT space and Bow Construction
Start: 2025-04-15T16:15:00+00:00
End: 2025-04-15T18:15:00+00:00
Location: Science Center 507

CMSA EVENTS: CMSA Geometry and Quantum Theory Seminar

When: April 15, 2025

4:15 pm - 6:15 pm

Where: Science Center 507

Address: 1 Oxford Street, Cambridge, MA 02138, United States

Speaker: Anadil Saeed Rao (Northeastern University)

In this talk I will discuss Yang-Mills Instantons in a very special geometric setting: the Taub-NUT space, which itself is a Gravitational Instanton. In the first part of the talk I will review the essentials of gravitational instanton theory from the differential geometry/physics perspective and discuss the geometry of Taub-NUT space in detail. Then I will review the essentials of the ADHM-Nahm construction which describe Instantons and Monopoles in Euclidean R^4 and R^3 respectively. In the second part of my talk I will extend the ADHM-Nahm description to Instantons on Taub-NUT space and show how the ADHM-Nahm data may be presented in terms of combinatorial diagrams called Bows and their representations.