Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-loop N=4 Super Yang Mills effective action and interaction between
  D3-branes   We compute the leading low-energy term in the planar part of the 2-loop
contribution to the effective action of $\N=4$ SYM theory in 4 dimensions,
assuming that the gauge group $SU(N+1)$ is broken to $SU(N) x U(1)$ by a
constant scalar background $X$. While the leading 1-loop correction is the
familiar $c_1 F^4/|X|^4$ term, the 2-loop expression starts with $c_2
F^6/|X|^8$. The 1-loop constant $c_1$ is known to be equal to the coefficient
of the $F^4$ term in the Born-Infeld action for a probe D3-brane separated by
distance $|X|$ from a large number $N$ of coincident D3-branes. We show that
the same is true also for the 2-loop constant $c_2$: it matches the coefficient
of the $F^6$ term in the D3-brane probe action. In the context of the AdS/CFT
correspondence, this agreement suggests a non-renormalization of the
coefficient of the $F^6$ term beyond two loops. Thus the result of
hep-th/9706072 about the agreement between the $v^6$ term in the D0-brane
supergravity interaction potential and the corresponding 2-loop term in the 1+0
dimensional reduction of $\N=4$ SYM theory has indeed a direct generalization
to 1+3 dimensions, as conjectured earlier in hep-th/9709087. We also discuss
the issue of gauge theory -- supergravity correspondence for higher order
($F^8$, etc.) terms.

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The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th