2024 December 17, 18, 19 @ RIKEN, Wako, Japan
This is an event hosted by the Quantum Gravity Gatherings (QGG) Study Group at RIKEN iTHEMS. For this event, we have invited Professor Asato Tsuchiya from Shizuoka University, to deliver pedagogical lectures on matrix models in general and the IKKT matrix model in particular. We aim for this event to provide insights to researchers in related fields.
Matrix models first appeared in the context of the large-N limit of (lattice) gauge theories, but it was quickly realised that such models were also powerful tools in the study of 2D quantum gravity and string theory. The IKKT model in particular has deep links to nonperturbative features of type IIB string theory, as revealed both through exact analysis and numerical investigation. Professor Tsuchiya is the 'T' in IKKT and remains at the forefront of research on the model. As such we are delighted to have this opportunity to learn about matrix models and their relation to quantum gravity with him.
This intensive lecture series is designed to be an interactive event. The intensive talk will be given in a face-to-face blackboard style (in English, no online streaming) to encourage informal and lively Q&A discussions. The program will also include short talk sessions, where participants can present a short talk on a topic of their choice, including their research, reviews of specific works, or future study interests.
Asato Tsuchiya (Shizuoka University)
Title: Emergence of space-time in matrix models
Abstract: Emergence of space-time is a key concept in matrix models as a nonperturbative formulation of string theory. In this lecture, starting with a brief introduction to nonperturbative effects in string theory, I will review various aspects of emergence of space-time in matrix models. The topics I discuss include dynamical triangulation, double scaling limit, eigenvalue instanton, large-N reduction, T-duality for D-brane effective theories (orbifolding), noncommutative geometry and covariant derivative interpretation. Finally, I will introduce the type IIB matrix model.