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Complex/Symplectic Mirrors
High Energy Physics - Theory · Submitted 5 Oct 2005
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Comparing hints from a variety of sources, including ten--dimensional supergravity and KK reduction on SU(3)--structure manifolds, suggests a picture in which string theory extends Reid's fantasy to connect classes of both complex non-Kaehler and symplectic non-Kaehler manifolds.
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The abstract, sentence by sentence
We construct a class of symplectic non--Kaehler and complex non--Kaehler string theory vacua, extending and providing evidence for an earlier suggestion by Polchinski and Strominger. The class admits a mirror pairing by construction. Comparing hints from a variety of sources, including ten--dimensional supergravity and KK reduction on SU(3)--structure manifolds, suggests a picture in which string theory extends Reid's fantasy to connect classes of both complex non-Kaehler and symplectic non-Kaehler manifolds.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We construct a class of symplectic non--Kaehler and complex non--Kaehler string theory vacua, extending and providing evidence for an earlier suggestion by Polchinski and Strominger. | contribution 0.99 | 0.95 | 0.48 | asserted 1.00 |
| s1 | The class admits a mirror pairing by construction. | result 0.79 | 0.87 | 0.25 | asserted 1.00 |
| s2 | Comparing hints from a variety of sources, including ten--dimensional supergravity and KK reduction on SU(3)--structure manifolds, suggests a picture in which string theory extends Reid's fantasy to connect classes of both complex non-Kaehler and symplectic non-Kaehler manifolds. | interpretation 1.00 | 0.21 | 0.53 | hedged possibility 1.00 |
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The paper
Original abstract
We construct a class of symplectic non--Kaehler and complex non--Kaehler string theory vacua, extending and providing evidence for an earlier suggestion by Polchinski and Strominger. The class admits a mirror pairing by construction. Comparing hints from a variety of sources, including ten--dimensional supergravity and KK reduction on SU(3)--structure manifolds, suggests a picture in which string theory extends Reid's fantasy to connect classes of both complex non-Kaehler and symplectic non-Kaehler manifolds.
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How the literature uses it
3 arXiv papers cite this in 4 sentences
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Cites it as background 1 paper
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In recent years considerable efforts have been directed to the study of compactifications on manifolds with SU(3) structure (with restriction to $N=2$ reductions of type II, see [ref] ).
Reducing democratic type II supergravity on SU(3) x SU(3) structures · Introduction · 0.86
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