1. Opening remarks ---- Monte Carlo studies of Large N and SUSY
Numerical Approaches to AdS/CFT, Large N and Gravity, Sep 28-Oct 2, 2009, Imperial College, London
Jun Nishimura (KEK Theory Center)

2. Opening remarks---Monte Carlo studies of large N and SUSY
Large N physics
Multi-colour QCD M.Teper, H.Neuberger, H.Meyer
’t Hooft’s idea
Feynman diagrams in large N gauge theory
1/N expansion genus expansion
of world sheet
planar limit = classical string theory
gauge/gravity duality M.Hanada
black hole physics D.Berenstein, T.Wiseman
IKKT model H.Kawai, A.Tsuchiya
non-perturbative superstring theory
emergence of 4d space-time ? J.Nishimura
Jun Nishimura (KEK) Imperial College London
Opening remarks---Monte Carlo studies of large N and SUSY

3. Eguchi-Kawai’s large-N reduction
Eguchi-Kawai reduction
planar large-N gauge theory
= dimensionally reduced model
problem due to U(1)D SSB Bhanot-Heller-Neuberger
original idea works with
adjoint fermions (?) large-N QCD
Bringoltz-Sharpe, Narayanan’s group, J.Wosiek
New type of large-N reduction A.Tsuchiya
for N=4 SYM on
preserving 16 supercharges
Jun Nishimura (KEK) Imperial College London
Opening remarks---Monte Carlo studies of large N and SUSY

4. Opening remarks---Monte Carlo studies of large N and SUSY
Supersymmetry
Lattice approach fine-tuning of bare param.
using Neuberger’s overlap Dirac operator
J.Giedt, R.Brower
fine tuning parameters off line
J.Giedt, E.Dzienkowski
preserving one exact supersymmetry using
topological twist S.Catterall, F.Sugino, P.Damgaard
Non-lattice approach M.Hanada, J.Nishimura
1d gauge theory with 16 supercharges
extension to higher dim A.Tsuchiya, M.Honda
using new type of large-N reduction
Jun Nishimura (KEK) Imperial College London
Opening remarks---Monte Carlo studies of large N and SUSY

5. Emergent space-time from supersymmetric large-N matrices
Gauge/gravity duality, AdS/CFT
Black hole physics from gauge theory
Eguchi-Kawai large-N reduction
4d (?) space-time from the IKKT model
A new approach to quantum space-time
causal dynamical triangulation J.Ambjorn
foliation preserving diffeomorphism H.Kawai
discrete gravity using causal sets D.Rideout
close
relationship
Jun Nishimura (KEK) Imperial College London
Opening remarks---Monte Carlo studies of large N and SUSY

6. Opening remarks---Monte Carlo studies of large N and SUSY
Conclusion
Large-N
SUSY
Gravity
starting to merge into one big subject
numerical approach is playing an important role
c.f.) “lattice”
So, the bottom line is…
It’s nice to have you all here !
I hope we will have a fruitful week !
Jun Nishimura (KEK) Imperial College London
Opening remarks---Monte Carlo studies of large N and SUSY