SYK Seminar, Part II: Melons (Rotation Project)

As part of my rotation project I will give a series of introductory lectures on the SYK model. In Part II, I will discuss the 2-point correlation function and how the large N diagrammatics reduce to iterated melon diagrams.

Seminar: Triple scaling of a multimatrix model U(N)^2 x O(D), continued (Prof. Reiko Toriumi, OIST)

Seminar: Triple scaling of a multimatrix model U(N)^2 x O(D), continued.

Seminar: Kinematic algebra (Dr. Tianheng Wang, Humboldt University Berlin, Germany)

Title: Kinematic algebra

[Seminar] Matrix Models and Topological Recursion II (Dr. Kento Osuga, University of Sheffield, UK)

Title: Matrix Models and Topological Recursion II

Abstract: Continued from the previous lecture, we will study how the topological recursion was discovered in the study of Hermitian matrix models. More concretely, starting with the spectral curve of a 1-cut Hermitian matrix model, I will present a computational technique that recursively solves loop equations. If time permits, I will make the recursive technique more abstract, and "define" the topological recursion.

Seminar: Triple scaling of a multimatrix model U(N)^2 x O(D) (Prof. Reiko Toriumi, OIST)

Title: Triple scaling of a multimatrix model U(N)^2 x O(D)

SYK Seminar, Part I: Introduction (Rotation Project)

As part of my rotation project I will give a series of introductory lectures on the SYK model. In Part I, I will write down the basic definition and give a sketchy overview of currently investigated aspects.

[Seminar] Matrix Models and Topological Recursion (Dr. Kento Osuga, University of Sheffield, UK)

Title: Matrix Models and Topological Recursion

Abstract: Hermitian matrix models are simplest quantum gauge field theory, namely quantum gauge theory in zero dimensions, and their correlation functions can be computed by a mathematical framework, the so-called topological recursion. In this review talk, I first present properties of Hermitian matrix models such as the 1/N-expansion, Virasoro constraints, loop equations, and the associated spectral curve. I will then give a technical overview of how we can recursively solve the loop equations of Hermitian matrix models by utilising the geometry of the spectral curve. Collecting the key geometric features, I will define the topological recursion with great generalities which makes it possible to apply the topological recursion beyond Hermitian matrix models.

Tensor Overview I

I will give a pedagogical introduction to field theories at large-N, with emphasis on vectors and matrices. I will also rapidly present the intermediate field formalism.

[Seminar] An Invitation to Topological String Theory (Dr. Kento Osuga, University of Sheffield, UK)

Title: An Invitation to Topological String Theory

Abstract: I will introduce the beauty of interplay among quantum field theory in various dimensions. More concretely, I will give an elementary review of fascinating relations among topological A-models and B-models, Chern-Simons theory, Seiberg-Witten theory, and matrix models. This talk will be designed for nonexperts so everyone in theoretical physics is welcome to join, including students. Research talks with more technical details may follow next week (and onwards) if there are interests. 

Visit: Dr. Kento Osuga (Postdoctoral Research Associate, University of Sheffield)

Visit: Dr. Kento Osuga (Postdoctoral Research Associate, University of Sheffield)