Search Collections

In this mini-course we will describe some recent integrability developments in N=4 SYM. Pedro will start with some overview of three point functions in this theory. Paul will introduce the powerful Quantum Spectral Curve formalism describing the full planar spectrum of N=4 SYM starting with some elementary spin chain introduction. In this formalism, each operator in the theory is governed by a (set of) Q-function(s). In his last lecture Paul will walk us through an explicit example from beginning to end of a QSC solution. Pedro will then describe some explorations on three point correlation functions in this theory. The goal would be to have a machine where three Q-functions are given as input and a three-point function is spit out as output. We will describe where we are in this quest. 

No Zoom link or hybrid participation available. Registration is not required.

A quantum field theory is deemed topological if it exhibits the remarkable property of being independent of any background metric. In contrast to most other types of quantum field theories, topological quantum field theories possess a well-defined mathematical framework, tracing its roots back to the pioneering work of Atiyah in 1988. The mathematical tools employed to define and study topological quantum field theories encompass concepts from category theory, homotopy theory, topology, and algebra.
In this course, we will delve into the mathematical foundations of this field, explore examples and classification results, especially in lower dimensions. Subsequently, we will explore more advanced aspects, such as invertible theories, defects, the cobordism hypothesis, or state sum models in dimensions 3 and 4 (including Turaev-Viro and Douglas-Reutter models), depending on the interests of the audience.
Today, the mathematics of topological quantum field theories has found numerous applications in physics. Recent applications include the study of anomalies, non-invertible symmetries, the classification of topological phases of matter, and lattice models. The course aims to provide the necessary background for understanding these applications.

Quantum position verification (QPV) schemes use the properties of quantum information and the relativistic signalling bound to verify the location of an object (sometimes called a “tag”) to distant observers in an environment that may contain would-be spoofers. The guarantee is based on the assumptions of the underlying security model; various theoretically and practically interesting security models have been proposed. The area is attracting increasing interest, with new theoretical developments in security analyses, emerging experimental studies of QPV systems, and recently discovered surprising and intriguing connections to topics in quantum gravity. A workshop on QPV will be held at the Perimeter Institute for Theoretical Physics.

The workshop will cover topics related to all aspects of QPV, including, but not limited to:

• Theoretical developments related to the security of QPV schemes, including development or refinement of security models, proofs of security within given models, tradeoffs between security and efficiency, and Experimental studies of QPV and theoretical work aimed at developing practical QPV schemes.
• QPV’s relationship to other cryptographic tasks and primitives.
• QPV’s relationship to holography and quantum gravity.

Sponsored in part by:  

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.

The annual Graduate Students’ Conference showcases the diverse research directions at Perimeter Institute, both organized and presented by the students. Our graduate students are invited to share their best work with their fellow PhD students, PSI students and other PI residents interested in hearing about physics research and discussing it in a lively atmosphere full of questions.

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.