Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal Invariance in the Leigh-Strassler deformed N=4 SYM Theory   We consider a full Leigh-Strassler deformation of the ${\cal N}=4$ SYM theory
and look for conditions under which the theory would be conformally invariant
and finite. Applying the algorithm of perturbative adjustments of the couplings
we construct a family of theories which are conformal up to 3 loops in the
non-planar case and up to 4 loops in the planar one. We found particular
solutions in the planar case when the conformal condition seems to be exhausted
in the one loop order. Some of them happen to be unitary equivalent to the real
beta-deformed ${\cal N}=4$ SYM theory, while others are genuine. We present the
arguments that these solutions might be valid in any loop order.

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The categories of this paper are: supr-con
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The categories of this paper are: physics
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph