In the large N_c QCD, it is expected that the generic finite
density ground state breaks translational invariance. In this talk,
I will show a spatially modulated instability exists in the
Sakai-Sugimoto model.
We find and study the gravity duals of the supersymmetric vacua of
mass-deformed N=6 Chern-Simons-matter theory for M2-branes.
Propetries of the vacua and elementary excitations are discussed.
We discuss some recent perturbative calculations for quantum
strings in AdS5 x S5 and their comparison to integrability based
results in planar N=4 Super Yang-Mills (SYM). We use a certain AdS
version of the light-cone gauge, which is shown to yield...