Work

Taub-nut Crystal

Year: 2011
Type: article
Abstract: We consider the Gibbons–Hawking metric for a three-dimensional periodic array of multi-Taub-NUT centers, containing not only centers with a positive NUT charge but also ones with a negative NUT charge. The latter are regarded as representing the asymptotic form of the Atiyah–Hitchin metric. The periodic arrays of Taub-NUT centers have close parallels with ionic crystals, where the Gibbons–Hawking potential plays the role of the Coulomb static potential of the ions, and are similarly classified according to their space groups. After a periodic identification and a Z2 projection, the array is transformed by T-duality to a system of NS5-branes with the SU(2) structure, and a further standard embedding yields, though singular, a half-BPS heterotic 5-brane background with warped compact transverse dimensions. A discussion is given on the possibility of probing the singular geometry by two-dimensional gauge theories.
Authors: HARUNOBU IMAZATO, SHUN'YA MIZOGUCHI, MASAYA YATA
Language: English
Open Access status: green
OpenAlex ID: W2043092469
FWCI: 1.029
Cites: 32
Cited by: 11
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