Work

Non-vanishing heterotic superpotentials on elliptic fibrations

Year: 2018

Type: article

Abstract: 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.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep09(2018)111

Authors: Evgeny I. Buchbinder, Ling Lin, Burt A. Ovrut

Institutions: The University of Western Australia, University of Pennsylvania

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funder: U.S. Department of Energy

Award: RESEARCH IN HIGH ENERGY PHYSICS AT THE UNIVERSITY OF PENNSYLVANIA