Flux Compactifications in Heterotic String Theory
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866902011958525952 |
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| author | Nero, Peter |
| author_facet | Nero, Peter |
| contents | <p>This paper constructs two explicit flux compactifications of the E8×E8 heterotic string on compact six‑manifolds with SU(3) structure. The first is a complex, balanced, non‑Kähler solution on the Iwasawa threefold. Working in the left‑invariant (Nomizu) complex, we compute H = i(∂̄ − ∂)J and dH = 2i∂∂̄J, adopt the torsional Bismut/Hull connection R+, and solve the Hull–Strominger system with anomaly cancellation and flux quantization shown componentwise in an invariant H^4 basis. We then build a rank‑3 indecomposable SU(3) bundle in two ways (two‑step monad and explicit left‑invariant holomorphic structure), verifying c1(E)=0, c2(E)=0, and ∫c3(E)=6, which yields three net chiral generations for E8→E6. The second example is a balanced but non‑integrable SU(3) structure on Lens×Nil: an abelian instanton plus the torsional spin connection produces two anomaly equations that fix the radius ratio, giving an isolated invariant solution (no invariant moduli). A normalized trilinear Yukawa on Iwasawa evaluates to λ123=1 at tree level. All derivations keep the gerbe picture explicit via the Green–Schwarz three‑form, and all coefficients are computed in an orthonormal left‑invariant frame. These backgrounds provide conservative, fully string‑native benchmarks with transparent geometry, flux, and bundles, and they align with a fixed‑point selection perspective developed elsewhere.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18205997 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Flux Compactifications in Heterotic String Theory Nero, Peter Modal Triplet Theory, heterotic string, flux compactifications, Iwasawa manifold, Lens x Nil, SU(3)-structure, non-Kahler geometry, Bismut connection, Strominger system, Green-Schwarz mechanism, conformally balanced metrics, Hermitian Yang-Mills, anomaly cancellation, monad bundles, abelian instantons, Yukawa couplings, left-invariant forms, Nomizu complex, spectral gap, harmonic projector, selection principle, theoretical high energy physics, mathematical physics, hep-th, math-ph <p>This paper constructs two explicit flux compactifications of the E8×E8 heterotic string on compact six‑manifolds with SU(3) structure. The first is a complex, balanced, non‑Kähler solution on the Iwasawa threefold. Working in the left‑invariant (Nomizu) complex, we compute H = i(∂̄ − ∂)J and dH = 2i∂∂̄J, adopt the torsional Bismut/Hull connection R+, and solve the Hull–Strominger system with anomaly cancellation and flux quantization shown componentwise in an invariant H^4 basis. We then build a rank‑3 indecomposable SU(3) bundle in two ways (two‑step monad and explicit left‑invariant holomorphic structure), verifying c1(E)=0, c2(E)=0, and ∫c3(E)=6, which yields three net chiral generations for E8→E6. The second example is a balanced but non‑integrable SU(3) structure on Lens×Nil: an abelian instanton plus the torsional spin connection produces two anomaly equations that fix the radius ratio, giving an isolated invariant solution (no invariant moduli). A normalized trilinear Yukawa on Iwasawa evaluates to λ123=1 at tree level. All derivations keep the gerbe picture explicit via the Green–Schwarz three‑form, and all coefficients are computed in an orthonormal left‑invariant frame. These backgrounds provide conservative, fully string‑native benchmarks with transparent geometry, flux, and bundles, and they align with a fixed‑point selection perspective developed elsewhere.</p> |
| title | Flux Compactifications in Heterotic String Theory |
| topic | Modal Triplet Theory, heterotic string, flux compactifications, Iwasawa manifold, Lens x Nil, SU(3)-structure, non-Kahler geometry, Bismut connection, Strominger system, Green-Schwarz mechanism, conformally balanced metrics, Hermitian Yang-Mills, anomaly cancellation, monad bundles, abelian instantons, Yukawa couplings, left-invariant forms, Nomizu complex, spectral gap, harmonic projector, selection principle, theoretical high energy physics, mathematical physics, hep-th, math-ph |
| url | https://doi.org/10.5281/zenodo.18205997 |