Mini-Course of Numerical Conformal Bootstrap

Apr 24, 2023, 8:30 a.m. → Apr 28, 2023, 5:30 p.m. America/Toronto

PI/3-301 - Alice Room (Perimeter Institute for Theoretical Physics)

Aike Liu (California Institute of Technology), Ning Su (Università di Pisa), Pedro Vieira (Perimeter Institute), Yin-Chen He (Perimeter Institute)

This school will be an advanced course on the numerical bootstrap. In the lectures, we will discuss advanced theoretical aspects of numerical bootstrap and algorithms. In the tutorials, we will demonstrate how to use simpleboot/hyperion and help the participants to run bootstrap computation on their own clusters. Main examples are 3D Ising, O(2), O(3), Gross-Neveu-Yukawa CFTs. 

The school will consist of one lecture in the morning and two tutorials in the afternoon (one tutorial for simpleboot (by Ning Su) and another one for hyperion (by Aike Liu).

This event is supported by the Simons Collaboration on The Nonperturbative Bootstrap (https://bootstrapcollaboration.com/). 

https://pirsa.org/C23030

Territorial Land Acknowledgement

Perimeter Institute acknowledges that it is situated on the traditional territory of the Anishinaabe, Haudenosaunee, and Neutral peoples.

Perimeter Institute is located on the Haldimand Tract. After the American Revolution, the tract was granted by the British to the Six Nations of the Grand River and the Mississaugas of the Credit First Nation as compensation for their role in the war and for the loss of their traditional lands in upstate New York. Of the 950,000 acres granted to the Haudenosaunee, less than 5 percent remains Six Nations land. Only 6,100 acres remain Mississaugas of the Credit land. 

We thank the Anishinaabe, Haudenosaunee, and Neutral peoples for hosting us on their land.

Monday, April 24

9:30 a.m. → 10:00 a.m. Registration

10:00 a.m. → 10:05 a.m. Welcome and Opening Remarks

Speaker: Yin-Chen He (Perimeter Institute)

10:10 a.m. → 11:35 a.m. Lecture 1: Introduction and Overview; Bootstrapping Ising mixed correlator

Speakers: Aike Liu (California Institute of Technology), Ning Su (Università di Pisa)

11:30 a.m. → 12:00 p.m. Coffee Break

12:00 p.m. → 1:30 p.m. Lunch

1:30 p.m. → 2:30 p.m. Tutorial 1A: Introduction to simpleboot. 3D Ising Island with Delaunay search

Speaker: Ning Su (Università di Pisa)

2:30 p.m. → 3:30 p.m. Coffee Break

3:30 p.m. → 4:30 p.m. Tutorial 1B: Crash course on Haskell programming

Speaker: Aike Liu (California Institute of Technology)

4:30 p.m. → 5:30 p.m. Coffee Break

Tuesday, April 25

10:00 a.m. → 11:30 a.m. Lecture 2: Bootstrapping global symmetries. Cutting surface algorithm

Speaker: Ning Su (Università di Pisa)

11:30 a.m. → 12:00 p.m. Coffee Break

12:00 p.m. → 1:30 p.m. Lunch

1:30 p.m. → 2:30 p.m. Tutorial 2A: O(N) bootstrap equations. Bootstrapping O(N) islands with the cutting surface algorith

Speaker: Ning Su (Università di Pisa)

2:30 p.m. → 3:30 p.m. Coffee Break

3:30 p.m. → 4:30 p.m. Tutorial 2B: Introduction to Hyperion; Bootstrapping 3D Ising Island

Speaker: Aike Liu (California Institute of Technology)

4:30 p.m. → 5:30 p.m. Coffee Break

Wednesday, April 26

10:00 a.m. → 11:30 a.m. Lecture 3: Bootstrapping spinning correlators

Speaker: Aike Liu (California Institute of Technology)

11:30 a.m. → 12:00 p.m. Coffee Break

12:00 p.m. → 1:30 p.m. Lunch

1:30 p.m. → 2:30 p.m. Tutorial 3A: Bootstrapping GNY model

Speaker: Aike Liu (California Institute of Technology)

2:30 p.m. → 3:30 p.m. Coffee Break

3:30 p.m. → 4:30 p.m. Tutorial 3B: Set up bootstrap computation from scratch

Speaker: Ning Su (Università di Pisa)

4:30 p.m. → 5:30 p.m. Coffee Break

Thursday, April 27

10:00 a.m. → 11:30 a.m. Lecture 4: Semidefinite program and the navigator function

Speaker: Ning Su (Università di Pisa)

11:30 a.m. → 12:00 p.m. Coffee Break

12:00 p.m. → 1:30 p.m. Lunch

1:30 p.m. → 2:30 p.m. Tutorial 4A: Navigator and EFM examples

Speaker: Ning Su (Università di Pisa)

2:30 p.m. → 3:30 p.m. Coffee Break

3:30 p.m. → 4:30 p.m. Tutorial 4B: Tour through the Hyperion Library

Speaker: Aike Liu (California Institute of Technology)

4:30 p.m. → 5:30 p.m. Coffee Break

Friday, April 28

10:00 a.m. → 11:30 a.m. Lecture 5: Skydiving algorithm

Speaker: Aike Liu (California Institute of Technology)

11:30 a.m. → 12:00 p.m. Coffee Break

12:00 p.m. → 1:30 p.m. Lunch

1:30 p.m. → 2:30 p.m. Tutorial 5A: Navigator examples and Skydiving examples in Hyperion setting

Speaker: Aike Liu (California Institute of Technology)

2:30 p.m. → 3:30 p.m. Coffee Break

3:30 p.m. → 4:30 p.m. Tutorial 5B: Skydiving examples. After-session projects

Speaker: Ning Su (Università di Pisa)

4:30 p.m. → 5:30 p.m. Coffee Break