Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Ultraviolet Finiteness of N=8 Supergravity   We study counterterms (CT's), candidates for UV divergences in the
four-dimensional N=8 supergravity. They have been constructed long ago in a
Lorentz covariant on shell superspace and recently in the chiral light-cone
(LC) superspace. We prove that all of these CT's are ruled out since they are
not available in the real LC superspace. This implies the perturbative UV
finiteness of d=4 N=8 supergravity under the assumption that supersymmetry and
continuous E7 symmetry are anomaly-free. The proof, based on the chiral nature
of CT's in the LC superspace, is a generalization of the perturbative F-term
non-renormalization theorem for N=8 supergravity.

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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: nlin
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: hep-ex