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Gromov–Hausdorff Limit

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Concise Encyclopedia of Supersymmetry

The vanishing of the radius of the stabilising circle in a compactification scheme . In case of the asymptotically locally conical G 2 metric Gromov–Hausdorff limit yields the direct product of S 1 times a Ricci-flat Calabi-Yau six-metric [1] giving the deformed conifold or the resolved conifold [2]. Thus the Gromov–Hausdorff limit may be identified with the weak coupling limit [3]. For Spin(7) metric a Gromov–Hausdorff limit gives the product [4], where M 4 is the Atiyah-Hitchin metric [5].

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Bibliography

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© 2004 Kluwer Academic Publishers

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Schimmrigk, R. et al. (2004). Gromov–Hausdorff Limit. In: Duplij, S., Siegel, W., Bagger, J. (eds) Concise Encyclopedia of Supersymmetry. Springer, Dordrecht. https://doi.org/10.1007/1-4020-4522-0_236

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  • DOI: https://doi.org/10.1007/1-4020-4522-0_236

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  • Print ISBN: 978-1-4020-1338-6

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