Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polyakov conjecture on the supertorus   We prove the Polyakov conjecture on the supertorus $(ST_2)$: we dermine an
iterative solution at any order of the superconformal Ward identity and we show
that this solution is resumed by the Wess-Zumino-Polyakov (WZP) action that
describes the $(1,0)$ 2D-supergravity. The resolution of the superBeltrami
equation for the Wess-Zumino (WZ) field is done by using on the one hand the
Cauchy kernel defined on $ST_2$ and on the other hand, the formalism developed
to get the general solution on the supercomplex plane. Hence, we determine the
n-points Green functions from the (WZP) action expressed in terms of the (WZ)
field.

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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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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: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: math
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The categories of this paper are: cond-mat