Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: String bits in small radius AdS and weakly coupled N=4 Super Yang-Mills
  Theory: I   We study light-cone gauge quantization of IIB strings in AdS_5 \times S^5 for
small radius in Poincare coordinates. A picture of strings made up of
noninteracting bits emerges in the zero radius limit. In this limit, each bit
behaves like a superparticle moving in the AdS_5 \times S^5 background,
carrying appropriate representations of the super conformal group PSU(2,2|4).
The standard Hamiltonian operator which causes evolution in the light-cone time
has continuous eigenvalues and provides a basis of states which is not suitable
for comparing with the dual super Yang-Mills theory. However, there exist
operators in the light-cone gauge which have discrete spectra and can be used
to label the states. We obtain the spectrum of single bit states and construct
multi-bit states in this basis. There are difficulties in the construction of
string states from the multi-bit states, which we discuss. A non-zero value of
the radius introduces interactions between the bits and the spectrum of
multi-bit states gets modified. We compute the leading perturbative corrections
at small radius for a few simple cases. Potential divergences in the
perturbative corrections, arising from strings near the boundary, cancel. This
encourages us to believe that our perturbative treatment could provide a
framework for a rigorous and detailed testing of the AdS/CFT conjecture, once
the difficulties in the construction of string states are resolved.

24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph