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The deformed conifold as a geometry on the space of unit charge CP^1 lumps

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arxiv hep-th/0105142 v1 pith:PCUC3UH7 submitted 2001-05-15 hep-th

classification hep-th
keywords conifolddeformedcertainchargelumpsspaceunitallows
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The strong structural similarity between the deformed conifold of Candelas and de la Ossa (a noncompact Calabi-Yau manifold) and the moduli space of unit charge CP^1 lumps equipped with its L^2 metric is pointed out. This allows one to reinterpret certain recent results on D3 branes in terms of lump dynamics, and to deduce certain curvature properties of the deformed conifold.

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  1. Fractional instantons in 2d $\mathbb{C}P^{N-1}$ model and 4d Yang-Mills theory with 't Hooft twists

    hep-th 2025-07 conditional novelty 7.0 of 10

    Explicit theta-function solutions for fractional BPS lumps on a twisted torus are constructed, and the moduli space is a CP^(Nk+p-1) fiber bundle over a small torus, matching the index theorem.

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