Complex Langevin Simulations of Dynamical Symmetry Breaking in IKKT Matrix Model
Anosh Joseph (IISER Mohali)
Abstract: In this talk, we report on the results of complex Langevin simulations of the IKKT matrix model. This model is conjectured to be a nonperturbative formulation of superstring theory in ten dimensions. Dynamical compactification of extra dimensions can be realized via spontaneous breaking of the model's SO(10) rotational symmetry. The phase of the Pfaffian in this model is inherently complex and thus can make Monte Carlo simulations unreliable. The complex Langevin method can handle wild fluctuations in the phase of the Pfaffian and give reliable results. Our preliminary simulation results point to dynamical symmetry breaking in the IKKT model.
condensed matterHEP - theory
Audience: researchers in the topic
Numerical Methods in Theoretical Physics
Organizers: | Anosh Joseph, Byungmin Kang, Dario Rosa, Masaki Tezuka, Junggi Yoon* |
*contact for this listing |