Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Exactly Marginal Deformations of N=4 SYM and Type IIB Supergravity on
  AdS_5 * S^5   N=4 supersymmetric Yang-Mills theory with gauge group SU(n) (n>=3) is
believed to have two exactly marginal deformations which break the
supersymmetry to N=1. We discuss the construction of the string theory dual to
these deformations, in the supergravity approximation, in a perturbation series
around the AdS_5 * S^5 solution. We construct explicitly the deformed solution
at second order in the deformation. We show that deformations which are
marginal but not exactly marginal lead to a non-conformal solution with a
logarithmically running coupling constant. Surprisingly, at third order in the
deformation we find the same beta functions for the couplings in field theory
and in supergravity, suggesting that the leading order beta functions (or
anomalous dimensions) do not depend on the gauge coupling (the coefficient is
not renormalized).

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The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc