Quantum field theory was originally developed as the extension of quantum mechanics needed to accommodate the principles of special relativity. Today quantum field theory is the modern paradigm with which we understand particle physics, condensed matter systems, and many aspects of early universe cosmology, and it is used to describe the interactions of elementary particles, the dynamics of many body systems and critical phenomena, all with exquisite accuracy. Currently, Perimeter researchers are producing worldleading advances in the study of integrability and scattering amplitudes in quantum field theories. String theory is a theoretical framework which was proposed to produce a unified description of all particles and forces in nature, including gravity. It is based on the idea that at very short distances, all particles should in fact be seen to be extended onedimensional objects, i.e., ‘strings.’ Modern string theory has grown to be a broad and varied field of research with strong connections to quantum gravity, particle physics and cosmology, as well as mathematics. An exciting new framework known as ‘holography’ has emerged from string theory whereby quantum gravity is formulated in terms of quantum field theory in one less dimension. This symbiosis between quantum field theory and quantum gravity has been a focus of many Perimeter researchers. This has led to the development of exciting new methods to study the quantum dynamics of gauge theories and in the application of these techniques to new domains, such as nuclear physics and condensed matter physics
Format results

15 talksCollection Number C23030
Talk

Lecture 1: Introduction and Overview; Bootstrapping Ising mixed correlator

Ning Su Università di Pisa
 Aike Liu




Lecture 2: Bootstrapping global symmetries. Cutting surface algorithm
Ning Su Università di Pisa






Quantum Field Theory in Curved Spacetime
7 talksCollection Number C23031Talk

Quantum Field Theory in Curved Spacetime (AM)  20230303
Sergey Sibiryakov McMaster University

Quantum Field Theory in Curved Spacetime (PM)  20230303
Sergey Sibiryakov McMaster University

Quantum Field Theory in Curved Spacetime (PM)  20230310
Sergey Sibiryakov McMaster University

Quantum Field Theory in Curved Spacetime (PM)  20230317
Sergey Sibiryakov McMaster University

Quantum Field Theory in Curved Spacetime (PM)  20230324
Sergey Sibiryakov McMaster University

Quantum Field Theory in Curved Spacetime (PM)  20230331
Sergey Sibiryakov McMaster University



Special Topics in Physics  QFT2: Quantum Electrodynamics (Cliff Burgess)
12 talksCollection Number C22043Talk


QFT2  Quantum Electrodynamics  Afternoon Lecture
Cliff Burgess McMaster University


QFT2  Quantum Electrodynamics  Afternoon Lecture
Cliff Burgess McMaster University


QFT2  Quantum Electrodynamics  Afternoon Lecture
Cliff Burgess McMaster University


QFT2  Quantum Electrodynamics  Afternoon Lecture
Cliff Burgess McMaster University


Quantum Fields and Strings 2021/2022
3 talksCollection Number C22015Talk

Quantum Fields and Strings 2021/2022 Lecture 1
Dan Wohns Perimeter Institute for Theoretical Physics

Quantum Fields and Strings  Lecture 2
Dan Wohns Perimeter Institute for Theoretical Physics

Quantum Fields and Strings 2021/2022  Lecture 3
Dan Wohns Perimeter Institute for Theoretical Physics


Octonions and the Standard Model
16 talksCollection Number C21001Talk

Welcome and Opening Remarks
Kirill Krasnov University of Nottingham

Finite quantum geometry, octonions and the theory of fundamental particles.
Michel DuboisViolette University of ParisSaclay

Supersymmetry and RCHO revisited
Paul Townsend University of Cambridge

Spin (8,9,10), Octonions and the Standard Model
Kirill Krasnov University of Nottingham

Gravity as the square of gauge theory
Leron Borsten HeriotWatt University

A Magic Pyramid of Supergravity Theories from YangMills Squared
Mia Hughes Imperial College London

Division algebraic symmetry breaking

Cohl Furey Humboldt University of Berlin

Mia Hughes Imperial College London


Clifford algebra of the Standard Model
Ivan Todorov Bulgarian Academy of Sciences


Tensor Networks: from Simulations to Holography III
21 talksCollection Number C20034Talk

Tensor networks for LGT: beyond 1D
MariCarmen Banuls Max Planck Institute for Gravitational Physics  Albert Einstein Institute (AEI)

Tensor networks for critical systems
Frank Verstraete Ghent University

Tensor network models of AdS/qCFT
Jens Eisert Freie Universität Berlin


Quantum Cellular Automata, Tensor Networks, and Area Laws
Ignacio Cirac Max Planck Institute for Gravitational Physics  Albert Einstein Institute (AEI)

Fun with replicas and holographic tensor networks
Michael Walter University of Amsterdam

A tensornetwork approach to fixedpoint models of topological phases
Andreas Bauer Freie Universität Berlin

Custom Fermionic Codes for Quantum Simulation
Riley Chien Dartmouth College


PSI 2019/2020  ChernSimons Theory (Part 1)
13 talksCollection Number C20008Talk

PSI 2019/2020  ChernSimons Theory Part 1  Lecture 1
Kevin Costello Perimeter Institute for Theoretical Physics

PSI 2019/2020  ChernSimons Theory Part 1  Lecture 2
Kevin Costello Perimeter Institute for Theoretical Physics

PSI 2019/2020  ChernSimons Theory Part 1  Lecture 3
Kevin Costello Perimeter Institute for Theoretical Physics

PSI 2019/2020  ChernSimons Theory Part 1  Lecture 4
Kevin Costello Perimeter Institute for Theoretical Physics

PSI 2019/2020  ChernSimons Theory Part 1  Lecture 5
Kevin Costello Perimeter Institute for Theoretical Physics

PSI 2019/2020  ChernSimons Theory Part 1  Lecture 6
Kevin Costello Perimeter Institute for Theoretical Physics

PSI 2019/2020  ChernSimons Theory Part 1  Lecture 7
Kevin Costello Perimeter Institute for Theoretical Physics

PSI 2019/2020  ChernSimons Theory Part 1  Lecture 8
Kevin Costello Perimeter Institute for Theoretical Physics


PSI 2019/2020  QFT III
14 talksCollection Number C20006Talk







PSI 2019/2020  QFT III  Lecture 7
Jaume Gomis Perimeter Institute for Theoretical Physics

PSI 2019/2020  QFT III  Lecture 8
Jaume Gomis Perimeter Institute for Theoretical Physics


Emmy Noether Workshop: The Structure of Quantum Space Time
25 talksCollection Number C19047Talk

Welcome and Opening Remarks
Bianca Dittrich Perimeter Institute for Theoretical Physics

Quantum Spacetime from Lattice Gravity à la CDT
Renate Loll Radboud Universiteit Nijmegen

How complement maps can cure divergences
Sylvie Paycha University of Potsdam

The gravitational Wilson loop and the nonAbelian Stokes' theorem
Reiko Toriumi Okinawa Institute of Science and Technology Graduate University

The dynamics of difference
Lee Smolin Perimeter Institute for Theoretical Physics


Probing fundamental physics with gravitational waves
Cecilia Chirenti Universidade Federal do ABC

Implications of the Quantum Nature Spacetime for the Big Bang and Black Holes
Abhay Ashtekar Pennsylvania State University


PSI 2019/2020  Quantum Field Theory II (David)
16 talksCollection Number C19042Talk

PSI 2019/2020  Statistical Mechanics (Vieira)
14 talksCollection Number C19041Talk

PSI 2019/2020  Statistical Mechanics (Vieira)
Pedro Vieira Perimeter Institute for Theoretical Physics
PIRSA:19090119 
PSI 2019/2020  Statistical Mechanics (Vieira)  Lecture 2
Pedro Vieira Perimeter Institute for Theoretical Physics

PSI 2019/2020  Statistical Mechanics (Vieira)  Lecture 3
Pedro Vieira Perimeter Institute for Theoretical Physics

PSI 2019/2020  Statistical Mechanics (Vieira)  Lecture 4
Pedro Vieira Perimeter Institute for Theoretical Physics

PSI 2019/2020  Statistical Mechanics (Vieira)  Lecture 5
Pedro Vieira Perimeter Institute for Theoretical Physics

PSI 2019/2020  Statistical Mechanics (Vieira)  Lecture 6
Pedro Vieira Perimeter Institute for Theoretical Physics

PSI 2019/2020  Statistical Mechanics (Vieira)  Lecture 7
Pedro Vieira Perimeter Institute for Theoretical Physics

PSI 2019/2020  Statistical Mechanics (Vieira)  Lecture 8
Pedro Vieira Perimeter Institute for Theoretical Physics


PSI 2019/2020  Quantum Field Theory (Wohns/Xu)
14 talksCollection Number C19040Talk

MiniCourse of Numerical Conformal Bootstrap
15 talksCollection Number C23030This 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), GrossNeveuYukawa 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).
Course materials, including tutorials, slides, and sample codes, can be found at https://gitlab.com/AikeLiu/BootstrapMiniCourse
This event is supported by the Simons Collaboration on The Nonperturbative Bootstrap (https://bootstrapcollaboration.com/).
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.

Quantum Field Theory in Curved Spacetime
7 talksCollection Number C23031The course is an introduction to quantum field theory in curved spacetime. Upon building up the general formalism, the latter is applied to several topics in the modern theory of gravity and cosmology where the quantum properties of fundamental fields play an essential role.
Topics to be covered:
1) Radiation of particles by moving mirrors
2) Hawking radiation of black holes
3) Production of primordial density perturbations and gravity waves during inflation
4) Statistical properties of the primordial spectra
Required prior knowledge:
Foundations of quantum mechanics and general relativity 
Special Topics in Physics  QFT2: Quantum Electrodynamics (Cliff Burgess)
12 talksCollection Number C22043This course uses quantum electrodynamics (QED) as a vehicle for covering several more advanced topics within quantum field theory, and so is aimed at graduate students that already have had an introductory course on quantum field theory. Among the topics hoped to be covered are: gauge invariance for massless spin1 particles from special relativity and quantum mechanics; Ward identities; photon scattering and loops; UV and IR divergences and why they are handled differently; effective theories and the renormalization group; anomalies.

Quantum Fields and Strings 2021/2022
3 talksCollection Number C22015This course covers three distinct topics: conformal field theory, anomalies, and string theory. The conformal field theory section of the course introduces conformal transformation and the conformal algebra, npoint functions in CFTs, and OPEs. The anomalies portion of the course focuses on the functional integral derivation of the chiral anomaly. The string theory part of the course derives the bosonic string spectrum and introduces Tduality and Dbranes. 
Octonions and the Standard Model
16 talksCollection Number C21001Over the years, various researchers have suggested connections between the octonions and the standard model of particle physics. The past few years, in particular, have been marked by an upsurge of activity on this subject, stimulated by the recent observation that the standard model gauge group and fermion representation can be elegantly characterized in terms of the octonions. This workshop, which will be the first ever on this topic, is intended to bring this new community together in an attempt to better understand these ideas, establish a common language, and stimulate further progress.
The workshop will consist of an hourlong talk every Monday at noon (EST), with the first talk on Monday February 8, and the final talk on Monday May 17.

Tensor Networks: from Simulations to Holography III
21 talksCollection Number C20034 
PSI 2019/2020  ChernSimons Theory (Part 1)
13 talksCollection Number C20008PSI 2019/2020  ChernSimons Theory (Part 1) 

Emmy Noether Workshop: The Structure of Quantum Space Time
25 talksCollection Number C19047Understanding the smallscale structure of spacetime is one of the biggest challenges faced by modern theoretical physics. There are many different attempts to solve this problem and they reflect the diversity of approaches to quantum gravity. This workshop will bring together researchers from a wide range of quantum gravity approaches and give them an opportunity to exchange ideas and gain new insights.

PSI 2019/2020  Quantum Field Theory II (David)
16 talksCollection Number C19042PSI 2019/2020  Quantum Field Theory II (David) 
PSI 2019/2020  Statistical Mechanics (Vieira)
14 talksCollection Number C19041PSI 2019/2020  Statistical Mechanics (Vieira) 
PSI 2019/2020  Quantum Field Theory (Wohns/Xu)
14 talksCollection Number C19040PSI 2019/2020  Quantum Field Theory (Wohns/Xu)