Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sigma Models and Phase Transitions for Complete Intersections   We study a one-parameter family of gauged linear sigma models (GLSMs)
naturally associated to a complete intersection in weighted projective space.
In the positive phase of the family we recover Gromov-Witten theory of the
complete intersection, while in the negative phase we obtain a
Landau--Ginzburg-type theory. Focusing on the negative phase, we develop
foundational properties which allow us to state and prove a genus-zero
comparison theorem that generalizes the multiple log-canonical correspondence
and should be viewed as analogous to quantum Serre duality in the positive
phase. Using this comparison result, along with the crepant transformation
conjecture and quantum Serre duality, we prove a genus-zero correspondence
between the GLSMs which arise at the two phases, thereby generalizing the
Landau-Ginzburg/Calabi-Yau correspondence to complete intersections.

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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
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The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: q-bio
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph