Dynamical compactification of extra dimensions in the Euclidean type IIB matrix model: A numerical study using the complex Langevin method
arXiv:1906.01841
Abstract
The type IIB matrix model is conjectured to be a nonperturbative definition of type IIB superstring theory. In this model, spacetime is a dynamical quantity and compactification of extra dimensions can be realized via spontaneous symmetry breaking(SSB). In this work, we consider a simpler, related, six dimensional model in its Euclidean version and study it numerically. Our calculations provide evidence that the SO(6) rotational symmetry of the model breaks down to SO(3), which means that the theory lives in a vacuum where 3 out of the 6 dimensions are large compared to the other 3. Our results show the same SSB pattern predicted by the Gaussian expansion method and that they are in quantitative agreement. The Monte Carlo simulations are hindered by a severe complex action problem which is addressed by applying the complex Langevin method.
arXiv comment13 pages, to appear in the proceedings of Corfu Summer Institute 2018 "School and Workshops on Elementary Particle Physics and Gravity" to be published in PoS(CORFU2018)
References in corpus (12)
- The Complex Langevin method: When can it be trusted?
- Complex Langevin: Etiology and Diagnostics of its Main Problem
- Expanding (3+1)-dimensional universe from a Lorentzian matrix model for superstring theory in (9+1)-dimensions
- The argument for justification of the complex Langevin method and the condition for correct convergence
- Adaptive stepsize and instabilities in complex Langevin dynamics
- New insights into the problem with a singular drift term in the complex Langevin method
- Complex Langevin Dynamics for chiral Random Matrix Theory
- Complex Langevin analysis of the space-time structure in the Lorentzian type IIB matrix model
- Complex Langevin analysis of the spontaneous symmetry breaking in dimensionally reduced super Yang-Mills models
- A general approach to the sign problem - the factorization method with multiple observables
- Reweighting complex Langevin trajectories
- Monte Carlo studies of dynamical compactification of extra dimensions in a model of nonperturbative string theory