Exactly Solvable Matrix Models for the Dynamical Generation of Space-Time in Superstring Theory

Abstract

We present a class of solvable SO(D) symmetric matrix models with D bosonic matrices coupled to chiral fermions. The SO(D) symmetry is spontaneously broken due to the phase of the fermion integral. This demonstrates the conjectured mechanism for the dynamical generation of four-dimensional space-time in the IIB matrix model, which was proposed as a nonperturbative definition of type IIB superstring theory in ten dimensions.

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References in corpus (5)

• Convergent Yang-Mills Matrix Theories
• The Convergence of Yang-Mills Integrals
• On the Spontaneous Breakdown of Lorentz Symmetry in Matrix Models of Superstrings
• Geometry of Reduced Supersymmetric 4D Yang-Mills Integrals
• Gaussian and Mean Field Approximations for Reduced 4D Supersymmetric Yang-Mills Integral

Cited by in corpus (33)

• Emergence of a 4D World from Causal Quantum Gravity
• Dynamical Generation of Four-Dimensional Space-Time in the IIB Matrix Model
• Mean Field Approximation of IIB Matrix Model and Emergence of Four Dimensional Space-Time
• Nonperturbative studies of fuzzy spheres in a matrix model with the Chern-Simons term
• A non-perturbative study of 4d U(1) non-commutative gauge theory -- the fate of one-loop instability
• Systematic study of the SO(10) symmetry breaking vacua in the matrix model for type IIB superstrings
• Dynamical aspects of the fuzzy CP${}^2$ in the large $N$ reduced model with a cubic term
• Complex Langevin analysis of the spontaneous symmetry breaking in dimensionally reduced super Yang-Mills models
• Dynamical generation of gauge groups in the massive Yang-Mills-Chern-Simons matrix model
• Perturbative versus nonperturbative dynamics of the fuzzy S^2*S^2
• A general approach to the sign problem - the factorization method with multiple observables
• Perturbative dynamics of fuzzy spheres at large N
• Impact of supersymmetry on the nonperturbative dynamics of fuzzy spheres
• Dynamical aspects of the plane-wave matrix model at finite temperature
• Exact fuzzy sphere thermodynamics in matrix quantum mechanics
• Absence of a fuzzy $S^4$ phase in the dimensionally reduced 5d Yang-Mills-Chern-Simons model
• Rotational Symmetry Breaking in Multi-Matrix Models
• The index of the overlap Dirac operator on a discretized 2d non-commutative torus
• Convergence of the Gaussian Expansion Method in Dimensionally Reduced Yang-Mills Integrals
• Improved Perturbation Method and its Application to the IIB Matrix Model
• Monte Carlo Studies of the GWW Phase Transition in Large-N Gauge Theories
• Fuzzy Torus in Matrix Model
• Testing the Gaussian expansion method in exactly solvable matrix models
• Probability distribution of the index in gauge theory on 2d non-commutative geometry
• Adding a Myers Term to the IIB Matrix Model
• The Large N Reduction in Matrix Quantum Mechanics -- a Bridge between BFSS and IKKT --
• Exotic trees
• Lattice Superstring and Noncommutative Geometry
• The instability of intersecting fuzzy spheres
• Comparative studies of the deformation techniques for the singular-drift problem in the complex Langevin method
• (3+1)-dimensional expanding universe from a Lorentzian matrix model for superstring theory in (9+1)-dimensions
• Why do we live in a 4D world: Can cosmology, black holes and branes give an answer?
• Spontaneous symmetry breaking induced by complex fermion determinant --- yet another success of the complex Langevin method