Journal article
Instantons and hilbert functions
- 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 non-vanishing instanton superpotential. These show that non-vanishing 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 non-vanishing instanton superpotentials based on an affine Hilbert function. This criterion shows that a non-zero 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Version of record, 491.5KB, Terms of use)
-
- Publisher copy:
- 10.1103/PhysRevD.102.026019
Authors
- Publisher:
- American Physical Society
- Journal:
- Physical Review D More from this journal
- Volume:
- 102
- Article number:
- 026019
- Publication date:
- 2020-07-24
- Acceptance date:
- 2020-07-06
- DOI:
- Language:
-
English
- Keywords:
- Pubs id:
-
1089911
- Local pid:
-
pubs:1089911
- Deposit date:
-
2020-07-15
Terms of use
- Copyright holder:
- American Physical Society
- Copyright date:
- 2020
- Rights statement:
- Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3 .
- Licence:
- CC Attribution (CC BY)
If you are the owner of this record, you can report an update to it here: Report update to this record