Abstract
We study Euclidean M5-branes wrapping vertical divisors in elliptic Calabi-Yau fourfold compactifications of M/F-theory that admit a Sen limit. We construct these Calabi-Yau fourfolds as elliptic fibrations over coordinate flip O3/O7 orientifolds of toric hypersurface Calabi-Yau threefolds. We devise a method to analyze the Hodge structure (and hence the dimension of the intermediate Jacobian) of vertical divisors in these fourfolds, using only the data available from a type IIB compactification on the O3/O7 Calabi-Yau orientifold. Our method utilizes simple combinatorial formulae (that we prove) for the equivariant Hodge numbers of the Calabi-Yau orientifolds and their prime toric divisors, along with a formula for the Euler characteristic of vertical divisors in the corresponding elliptic Calabi-Yau fourfold. Our formula for the Euler characteristic includes a conjectured correction term that accounts for the contributions of pointlike terminal ℤ2 singularities corresponding to perturbative O3-planes. We check our conjecture in a number of explicit examples and find perfect agreement with the results of direct computations.
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Acknowledgments
We thank Jakob Moritz, Liam McAllister, Washington Taylor for numerous discussions and comments. We thank Andreas Schachner for catching typos in the manuscript. The work of MK was supported by the Pappalardo Fellowship. PJ was supported by the DOE grant DE-SC00012567.
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Jefferson, P., Kim, M. On the intermediate Jacobian of M5-branes. J. High Energ. Phys. 2024, 180 (2024). https://doi.org/10.1007/JHEP05(2024)180
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DOI: https://doi.org/10.1007/JHEP05(2024)180