Matrix models and the gravitational interaction

Introduction......Page 3
Definition and symmetry of the IIB matrix model......Page 6
Interaction between the BPS object......Page 11
Interpretation of the diffeomorphism invariance......Page 15
Alternative totally reduced models......Page 16
Other related studies......Page 24
Definition of the osp(1|32,R) super Lie algebra......Page 25
osp(1|32,R) (nongauged) cubic matrix model......Page 27
gl(1|32,R) gl(N,R) gauged cubic matrix model......Page 35
Curved-space classical solutions of the massive osp(1|32,R) nongauged supermatrix model......Page 45
Matrix model with manifest general coordinate invariance......Page 50
Bosonic part of the matrix model......Page 51
Supersymmetric action......Page 55
Monte Carlo simulation of the fuzzy sphere solutions......Page 58
Nonperturbative studies of the fuzzy sphere initial condition......Page 59
Analysis of the Yang-Mills phase......Page 64
Metastability of the multi-sphere solutions......Page 65
Miscellaneous future directions......Page 68
Conclusion......Page 69
Definition and properties of the gamma matrices and the fermions......Page 70
Supermatrices......Page 74
Calculation of the Seeley-de-Witt coefficients......Page 77
Review of the Monte Carlo simulation......Page 82
Simulation of the quadratic matrix model......Page 84
Simulation of the quartic matrix model......Page 86
Simulation of the bosonic IIB matrix model with the Chern-Simons term......Page 88
Jackknife (binning) method......Page 91