Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Aspects of Noncommutativity and Holography in Field Theory and String
  Theory   This thesis addresses two topics: noncommutative Yang-Mills theories and the
AdS/CFT correspondence.
  In the first part we study a partial summation of the theta-expanded
perturbation theory. The latter allows one to define noncommutative Yang-Mills
theories with arbitrary gauge groups G as a perturbation expansion in the
noncommutativity parameter theta. We show that for G being a subgroup of U(N)
that is not identical to U(M) with M<N, one does not find a finite set of
theta-summed Feynman rules.
  In the second part we study quantities which are important for the
realization of the holographic principle in the AdS/CFT correspondence:
boundaries, geodesics and the propagators of scalar fields. They should play a
role in the holographic setup in the BMN limit as well. We observe how these
quantities behave in the limiting process from AdS_5 x S^5 to the
10-dimensional plane wave which is the spacetime in the BMN limit.

30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: alg-geom