Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Master Equation for the Prepotential-Pub   The perturbative prepotential and the K\"ahler metric of the vector
multiplets of the N=2 effective low-energy heterotic strings is calculated
directly in N=1 six-dimensional toroidal compactifications of the heterotic
string vacua. This method provides the solution for the one loop correction to
the N=2 vector multiplet prepotential for compactifications of the heterotic
string for any rank three and four models, as well for compactifications on
$K_3 \times T^2$. In addition, we complete previous calculations, derived from
string amplitudes, by deriving the differential equation for the third
derivative of the prepotential with respect of the usual complex structure U
moduli of the $T^2$ torus. Moreover, we calculate the one loop prepotential,
using its modular properties, for N=2 compactifications of the heterotic string
exhibiting modular groups similar with those appearing in N=2 sectors of N=1
orbifolds based on non-decomposable torus lattices and on N=2 supersymmetric
Yang-Mills.

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The categories of this paper are: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: eess
34
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: ao-sci
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The categories of this paper are: stat
1
The categories of this paper are: cs
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The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: math-ph