Hermitian Yang-Mills instantons on resolutions of Calabi-Yau cones
Filipe Paccetti Correia
TL;DR
This paper constructs and analyzes a new family of Hermitian Yang-Mills instantons on resolutions of Calabi-Yau cones, with applications to heterotic string compactifications.
Contribution
It introduces an infinite family of SU(d) instantons on Calabi-Yau cone resolutions, including their properties and instanton numbers, advancing understanding of non-Kähler heterotic compactifications.
Findings
Constructed an infinite family of SU(d) instantons
Computed instanton numbers for these solutions
Explored applications in heterotic non-Kähler compactifications
Abstract
We study the construction of Hermitian Yang-Mills instantons over resolutions of Calabi-Yau cones of arbitrary dimension. In particular, in d complex dimensions, we present an infinite family, parametrised by an integer k and a continuous modulus, of SU(d) instantons. A detailed study of their properties, including the computation of the instanton numbers is provided. We also explain how they can be used in the construction of heterotic non-Kahler compactifications.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.