Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Ultraviolet Structure of Half-Maximal Supergravity with Matter
  Multiplets at Two and Three Loops   Using the duality between color and kinematics, we construct the two- and
three-loop amplitudes of half-maximal supergravity with matter multiplets and
show that new divergences occur in D=4 and D=5. Bossard, Howe and Stelle have
recently conjectured the existence of 16-supercharge off-shell harmonic
superspaces in order to explain the ultraviolet finiteness of pure half-maximal
supergravity with no matter multiplets in D=4 at three loops and in D=5 at two
loops. By assuming the required superspace exists in D=5, they argued that no
new divergences should occur at two loops even with the addition of
abelian-vector matter multiplets. Up to possible issues with the SL(2,R) global
anomaly of the theory, they reached a similar conclusion in D=4 for two and
three loops. The divergences we find contradict these predictions based on the
existence of the desired off-shell superspaces. Furthermore, our D=4 results
are incompatible with the new divergences being due to the anomaly. We find
that the two-loop divergences of half-maximal supergravity are directly
controlled by the divergences appearing in ordinary nonsupersymmetric
Yang-Mills theory coupled to scalars, explaining why half-maximal supergravity
develops new divergences when matter multiplets are added. We also provide a
list of one- and two-loop counterterms that should be helpful for constraining
any future potential explanations of the observed vanishings of divergences in
pure half-maximal supergravity.

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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ