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29 November 2023 to 1 December 2023
KEK Tsukuba Campus
Asia/Tokyo timezone

The analysis of the Lorentzian IKKT matrix model at large D

29 Nov 2023, 16:15
15m
KEK Tsukuba Campus

KEK Tsukuba Campus

KEK, 1-1 OHO, TSUKUBA, IBARAKI 305-0801, JAPAN

Speaker

Mr Naoyuki Yamamori (SOKENDAI)

Description

The IKKT matrix model is the most promising candidate of a non-perturbative formulation of superstring theory. Recently it has been proposed to introduce the Lorentz invariant mass term as a regularization. This model has SO(9,1) Lorentz symmetry, and a partition function diverges due to the non-compactness of the volume of the Lorentz group. In this study, we have done the analytical calculation at large D. In the case with N=2, there are three classical solutions in total. We clarified the physical meaning of the solutions and a phase diagram of the theory by doing a 1/D expansion around each solution.

Presentation materials