Twistor! Spring 2022
Last Updated:
The goal of this seminar is to understand twistor theory and some of its relations to other parts of mathematical physics.
Time and location information
Organisers: Sam DeHority, Zoe Himwich, Davis Lazowski
Time/date: Wednesday 11am-12:15pm EST
Location: Math 622
Please email zmh2110@columbia.edu if you would like to be on the mailing list.
Plan/references
Beginning with an introduciton to twistors and spinors, the plan is to understand some parts of
- Scattering amplitudes and their relation to holomorphic curves in twistor space, starting from the work https://arxiv.org/abs/hep-th/0312171 and other developments including https://arxiv.org/abs/hep-th/0402045, https://arxiv.org/abs/1309.0885.
- Developments in ambitwistor theory, perhaps from https://arxiv.org/pdf/1311.2564.pdf https://arxiv.org/pdf/1606.05636.pdf.
- Understanding the quantization of certain twistor field theories in https://arxiv.org/abs/2111.08879 and https://arxiv.org/abs/2201.02595 after a slow introduction to the BV formalism.
Virtual attendance
List of talks
Date | Talk Info |
---|---|
Tuesday Mar. 8 |
Speaker: Davis Lazowski Title: Twistor theory and the Penrose-Ward Correspondence Abstract: I will give a basic introduction to spinors, twistors and some of their applications to the study of gauge theory. |
Thursday Mar. 17 |
Speaker: Zoe Himwich Title: Perturbative Gauge Theory as String Theory in Twistor Space Abstract: I will be presenting Witten’s paper “ Perturbative Gauge Theory as String Theory in Twistor Space” |
Wednesday Mar. 23 |
Speaker: Sam DeHority Title: Holomorphic curves and scattering amplitudes Abstract: Continuing with Witten’s paper, we will discuss scattering amplitudes under the Fourier transform to twistor space. We will demonstrate in examples, including the Parke-Taylor formula discussed last week, that the amplitudes are supported on holomorphic curves in twistor space whose degree and genus are related to the helicity violation and loop order of the amplitude. |
Wednesday Mar. 30 |
Speaker: Davis Lazowski Title: Scattering amplitudes and ambitwistor string theories Abstract: I will sketch the basics of ambitwistor string theories and how they lead to the Cachazo-He-Yuan formula for tree level scattering amplitudes. |
Wednesday Apr. 6 |
Speaker: Davis Lazowski Title: Scattering amplitudes and ambitwistor string theories II Abstract: Continuing from last time, I will sketch the basics of ambitwistor string theories and how they lead to the Cachazo-He-Yuan formula for tree level scattering amplitudes. |
Hiatus | |
Wednesday Apr. 27 |
Speaker: Zoe Himwich Title: ASDYM and KdV Abstract: I will explain reductions of the ASDYM equation and the connection between the Penrose-Ward correspondence and the reduction to KdV. |
Wednesday May. 11 |
Speaker: Zoe Himwich Title: TBA Abstract: TBA |