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Abstract
We study superpotentials from worldsheet instantons in heterotic Calabi-Yau compactifications for vector bundles constructed from line bundle sums, monads, and extensions. Within a certain class of manifolds and for certain second homology classes, we derive simple necessary conditions for a nonvanishing instanton superpotential. These show that nonvanishing instanton superpotentials are rare and require a specific pattern for the bundle construction. For the class of monad and extension bundles with this pattern, we derive a sufficient criterion for nonvanishing instanton superpotentials based on an affine Hilbert function. This criterion shows that a nonzero instanton superpotential is common within this class. The criterion can be checked using commutative algebra methods only and depends on the topological data defining the Calabi-Yau X and the vector bundle V.
Original language | English |
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Article number | 026019 |
Journal | Physical Review D |
Volume | 102 |
Issue number | 2 |
DOIs | |
Publication status | Published - 15 Jul 2020 |
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Dive into the research topics of 'Instantons and Hilbert functions'. Together they form a unique fingerprint.Projects
- 1 Finished
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Advances in Conformal Field Theory with Extended Symmetry
Kuzenko, S. (Investigator 01), Buchbinder, E. (Investigator 02), Theisen, S. (Investigator 03) & Tseytlin, A. (Investigator 04)
ARC Australian Research Council
1/01/20 → 31/12/23
Project: Research