Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On (Orientifold of) type IIA on a Compact Calabi-Yau   We study the gauged sigma model and its mirror Landau-Ginsburg model
corresponding to type IIA on the Fermat degree-24 hypersurface in
WCP^4[1,1,2,8,12] (whose blow-up gives the smooth CY_3(3,243)) away from the
orbifold singularities, and its orientifold by a freely-acting antiholomorphic
involution. We derive the Picard-Fuchs equation obeyed by the period integral
as defined in the work of Cecotti and Hori-Vafa, of the parent N=2 type IIA
theory of Kachru and Vafa. We obtain the Meijer's basis of solutions to the
equation in the large {\it and} small complex structure limits (on the mirror
Landau-Ginsburg side) of the abovementioned Calabi-Yau, and make some remarks
about the monodromy properties associated based on the work of Morrison, at the
same and another MATHEMATICAlly interesting point. Based on a recently shown
N=1 four-dimensional triality (hep-th/0212054) between Heterotic on the
self-mirror Calabi-Yau CY_3(11,11), M theory on (CY_3(3,243) x S^1)/Z_2 and
F-theory on an elliptically fibered CY_4 with the base given by CP^1 x Enriques
surface, we first give a heuristic argument that there can be no superpotential
generated in the orientifold of of CY_3(3,243), and then explicitly verify the
same using mirror symmetry formulation of Hori-Vafa for the abovementioned
hypersurface away from its orbifold singularities. We then discuss briefly the
sigma model and the mirror Landau-Ginsburg model corresponding to the resolved
Calabi-Yau as well.

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The categories of this paper are: math-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
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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: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: math