Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-03-10
JHEP 0407 (2004) 018
Physics
High Energy Physics
High Energy Physics - Theory
19 pages JHEP, 4 figures. v2: comments added, typos fixed, additional refs. v3: The paper has been largely revised, to make th
Scientific paper
10.1088/1126-6708/2004/07/018
We study the large N gauged quantum mechanics for a single Hermitian matrix in the Harmonic oscillator potential well as a toy model for the AdS/CFT correspondence. We argue that the dual geometry should be a string in two dimensions with a curvature of stringy size. Even though the dual geometry is not weakly curved, one can still gain knowledge of the system from a detailed study of the open-closed string duality. We give a mapping between the basis of states made of traces (closed strings) and the eigenvalues of the matrix (D-brane picture) in terms of Schur polynomials. We connect this model with the study of giant gravitons in AdS_5 x S^5. We show that the two giant gravitons that expand along AdS_5 and S^5 can be interpreted in the matrix model as taking an eigenvalue from the Fermi sea and exciting it very much, or as making a hole in the Fermi sea respectively. This is similar to recent studies of the c=1 string. This connection gives new insight on how to perform calculations for giant gravitons.
No associations
LandOfFree
A toy model for the AdS/CFT correspondence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A toy model for the AdS/CFT correspondence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A toy model for the AdS/CFT correspondence will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-418567