Solutions to the Hull–Strominger System with Torus Symmetry
Keyword(s):
AbstractWe construct new smooth solutions to the Hull–Strominger system, showing that the Fu–Yau solution on torus bundles over K3 surfaces can be generalized to torus bundles over K3 orbifolds. In particular, we prove that, for $$13 \le k \le 22$$ 13 ≤ k ≤ 22 and $$14\le r\le 22$$ 14 ≤ r ≤ 22 , the smooth manifolds $$S^1\times \sharp _k(S^2\times S^3)$$ S 1 × ♯ k ( S 2 × S 3 ) and $$\sharp _r (S^2 \times S^4) \sharp _{r+1} (S^3 \times S^3)$$ ♯ r ( S 2 × S 4 ) ♯ r + 1 ( S 3 × S 3 ) , have a complex structure with trivial canonical bundle and admit a solution to the Hull–Strominger system.
2007 ◽
Vol 215
(2)
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pp. 504-539
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2020 ◽
Vol 2020
(766)
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pp. 137-150
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2000 ◽
Vol 55
(3)
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pp. 475-546
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1978 ◽
Vol 36
(1)
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pp. 628-629
1986 ◽
Vol 44
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pp. 2-5
2019 ◽
Vol 15
(S354)
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pp. 189-194