Non-vanishing heterotic superpotentials on elliptic fibrations

Buchbinder, Evgeny I.; Lin, Ling; Ovrut, Burt A.

doi:10.1007/jhep09(2018)111

Title: Non-vanishing heterotic superpotentials on elliptic fibrations

Journal Article · Wed Sep 19 00:00:00 EDT 2018 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep09(2018)111· OSTI ID:1505204

Buchbinder, Evgeny I. ^[1]; Lin, Ling ^[2]; Ovrut, Burt A. ^[2]

Univ. of Western Australia, Perth, WA (Australia). Dept. of Physics
Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy

We present models of heterotic compactification on Calabi-Yau threefolds and compute the non-perturbative superpotential for vector bundle moduli. The key feature of these models is that the threefolds, which are elliptically fibered over del Pezzo surfaces, have homology classes with a unique holomorphic, isolated genus-zero curve. Using the spectral cover construction, we present vector bundles for which we can explicitly calculate the Pfaffians associated with string instantons on these curves. These are shown to be non-zero, thus leading to a non-vanishing superpotential in the 4D effective action. We discuss, in detail, why such compactifications avoid the Beasley-Witten residue theorem.

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Research Organization:: Univ. of Pennsylvania, Philadelphia (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0007901

OSTI ID:: 1505204

Journal Information:: Journal of High Energy Physics (Online), Vol. 2018, Issue 9; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 4 works

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