Simulating Simplified Versions of the IKKT Matrix Model

Abstract

We simulate a supersymmetric matrix model obtained from dimensional reduction of 4d SU(N) super Yang-Mills theory (a 4d counter part of the IKKT model or IIB matrix model). The eigenvalue distribution determines the space structure. The measurement of Wilson loop correlators reveals a universal large N scaling. Eguchi-Kawai equivalence may hold in a finite range of scale, which is also true for the bosonic case. We finally report on simulations of a low energy approximation of the 10d IKKT model, where we omit the phase of the Pfaffian and look for evidence for a spontaneous Lorentz symmetry breaking.

4 pages, talk presented at LATTICE 2000 (Bangalore)

References in corpus (9)

• A Large-N Reduced Model as Superstring
• Space-Time Structures from IIB Matrix Model
• Monte Carlo Approach to M-Theory
• Dynamical Aspects of Large N Reduced Models
• Monte Carlo Studies of the IIB Matrix Model at Large N
• Large N Dynamics of Dimensionally Reduced 4D SU(N) Super Yang-Mills Theory
• Finite Yang-Mills Integrals
• Dimensionally Reduced SYM_4 as Solvable Matrix Quantum Mechanics
• Exact Results in N_c=2 IIB Matrix Model

Cited by in corpus (6)

• M(atrix) Theory: Matrix Quantum Mechanics as a Fundamental Theory
• On the Spontaneous Breakdown of Lorentz Symmetry in Matrix Models of Superstrings
• Rotational Symmetry Breaking in Multi-Matrix Models
• Duality in non-commutative gauge theories as a non-perturbative Seiberg-Witten map
• Numerical Analysis of the Double Scaling Limit in the IIB Matrix Model
• Yang-Mills Integrals