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2012

Modular Constraints on Calabi-Yau Compactifications

Keller, Christoph A., Ooguri, Hirosi

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We derive global constraints on the non-BPS sector of supersymmetric 2d sigma-models whose target space is a Calabi-Yau manifold.

When the total Hodge number of the Calabi-Yau threefold is sufficiently large, we show that there must be non-BPS primary states whose total conformal weights are less than 0.656.
Moreover, the number of such primary states grows at least linearly in the total Hodge number.
We discuss implications of these results for Calabi-Yau geometry.

Modular Constraints on Calabi-Yau Compactifications · Around

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Birkhäuser, 1985
Original
M. Eichler and D. Zagier, The Theory of Jacobi Forms · 1985
Earlier work this paper cites.
M. Reid, The moduli space of 3-folds with K = 0 may nevertheless be irreducible
1987
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T. Eguchi, A. Taormina, Unitary Representations of N=4 Superconformal Algebra
1987
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T. Eguchi, A. Taormina, Character Formulas for The N=4 Superconformal Algebra
1988
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T. Eguchi, H. Ooguri, A. Taormina and S.-K. Yang, Superconformal Algebras and String Compactification on Manifolds with SU(N) Holonomy
1989
Earlier work this paper cites.

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