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Constantin, Andrei; Gray, James; Lukas, Andre

Hodge numbers for all CICY quotients. (English) Zbl 1373.14038

J. High Energy Phys. 2017, No. 1, Paper No. 1, 35 p. (2017).
Summary: We present a general method for computing Hodge numbers for Calabi-Yau manifolds realised as discrete quotients of complete intersections in products of projective spaces. The method relies on the computation of equivariant cohomologies and is illustrated for several explicit examples. In this way, we compute the Hodge numbers for all discrete quotients obtained in Braun’s classification [V. Braun, J. High Energy Phys. 2011, No. 4, Paper No. 005, 32 p. (2011; Zbl 1250.14026)].

Cited in 17 Documents

MSC:

14J32 Calabi-Yau manifolds (algebro-geometric aspects)
83E30 String and superstring theories in gravitational theory
58A14 Hodge theory in global analysis
53Z05 Applications of differential geometry to physics

Keywords:

differential and algebraic geometry; superstring vacua; superstrings and heterotic strings; space-time symmetries; Hodge numbers; Calabi-Yau manifold

Citations:

Zbl 1250.14026

Software:

CICY Quotients
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\textit{A. Constantin} et al., J. High Energy Phys. 2017, No. 1, Paper No. 1, 35 p. (2017; Zbl 1373.14038)
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References:

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