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Beyond the K\"ahler cone
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abstract
The moduli space of nonlinear $\sigma$-models on a Calabi--Yau manifold contains a complexification of the K\"ahler cone of the manifold. We describe a physically natural analytic continuation process which links the complexified K\"ahler cones of birationally equivalent Calabi--Yau manifolds. The enlarged moduli space includes a complexification of Kawamata's ``movable cone''. We formulate a natural conjecture about the action of the birational automorphism group on this cone. (Based in part on joint work with Paul Aspinwall and Brian Greene; submitted to the proceedings of ``Hirzebruch's 65th birthday workshop in algebraic geometry''.)
Forward citations
Cited by 2 Pith papers
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On the Nef cones of blowups of the projective plane
For blowups of the projective plane at 9 very general points, the nef cone has a 10-inequality fundamental domain under Cremona transformations; for n at least 10, the K-negative part of the nef effective cone has one too.
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Quantum Gravity Cutoff from Axions: A Type IIB Landscape Study
The bound Λ_QG ≲ 2π √S f holds for C2 and C4 axions in Type IIB Calabi-Yau compactifications even near Kähler moduli space boundaries where co-scaling fails.
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