Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Gibbons-Hawking ansatz in generalized K\"ahler geometry   We derive a local ansatz for generalized K\"ahler surfaces with nondegenerate
Poisson structure and a biholomorphic $S^1$ action which generalizes the
classic Gibbons-Hawking ansatz for invariant hyperK\"ahler manifolds, and
allows for the choice of one arbitrary function. By imposing the generalized
K\"ahler-Ricci soliton equation, or equivalently the equations of type IIB
string theory, the construction becomes rigid, and we classify all complete
solutions with the smallest possible symmetry group.

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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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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: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc