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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

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4 results for “G2-system”

Families of solutions of the heterotic G

_2

systemhep-th

New solutions found for G2 system on squashed manifolds.

problem Finding solutions to the heterotic G2 system on squashed manifolds.

method Constructing families of solutions using squashed metrics on 7-sphere or Aloff-Wallach space.

result Obtained AdS3 solutions for most squashing parameters, excluding a specific case.

G2 system solutions heterotic spheres Aloff-Wallach

2021-11-25abs ↗pdf ↗

The heterotic G

_2

-system on 2-step nilmanifolds endowed with principal torus bundlesmath.DG

Study heterotic G2-system on 2-step nilmanifolds with torus bundles.

problem Investigate G2-structures on 7D nilmanifolds with torus bundles.

method Prove coclosure of G2-structures, discuss existence of solutions for all isomorphism classes.

result Existence of solutions for various 7D nilpotent Lie algebras with constant dilaton.

heterotic G2-system 2-step nilmanifolds torus bundles coclosed G2-structures nilpotent Lie algebras

2025-12-18abs ↗pdf ↗

Isometric solutions to the heterotic

\mathrm{G}_2

-systemmath.DG

New isometric solutions found for heterotic G2-system.

problem Solving the heterotic G2-system with non-abelian gauge groups.

method An ansatz to vary G2-structure and gauge data while keeping metric fixed.

result Distinct isometric solutions on the same manifold with different gauge groups.

G2-system heterotic isometric solutions non-abelian gauge nilmanifolds

2026-05-07abs ↗pdf ↗

The heterotic

\rm{G}_2

system on contact Calabi--Yau

7

-manifoldsmath.DG

The heterotic G2 system is solved on Calabi-Yau 3-orbifolds.

problem Solving the heterotic G2 system on Calabi-Yau 3-orbifolds.

method Adjusting circle bundles and powers of α' to obtain cocalibrated G2 structures.

result Non-trivial solutions to the heterotic G2 system are found.

heterotic G2 system Calabi-Yau 3-orbifolds circle bundles cocalibrated G2 structures α'

2021-01-17abs ↗pdf ↗