Speaker
Seraphim Hsieh Jarov
(Perimeter Institute)
Description
Based on an idea of Kevin Costello, I will show how to construct a double cover of the twistor space of $\mathbb{R}^4$, $X = \pi^*(\mathcal{O}(1)\oplus\mathcal{O}(1))\to\Sigma$ where $\Sigma$ is an (hyper)elliptic curve. I then discuss how holomorphic theories such as BF and Chern-Simons theory on $X$ descend to theories on ordinary twistor space. Once on twistor space, compactifying along the $\mathbb{CP}^1$ direction of twistor space produces a corresponding 4d theory where we can study the algebra of collinear singularities. I will present my calculations which show that this algebra lives on the elliptic curve defining the double cover of twistor space.
| Keywords | Twistors, gauge theory, holomorphic Chern-Simons theory, celestial OPEs, elliptic curves |
|---|---|
| Contact Email | [email protected] |
Primary author
Seraphim Hsieh Jarov
(Perimeter Institute)
External references
- 24070081
- afb000bf-2507-40ee-94f0-06d9b237ff60
