The heterotic G2 system with reducible characteristic holonomy

Mateo Galdeano; Leander Stecker

doi:10.1016/j.geomphys.2025.105635

The heterotic G2 system with reducible characteristic holonomy

Mateo Galdeano, Leander Stecker

School of Physics, Engineering & Computer Science

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We construct solutions to the heterotic G 2 system on almost contact metric manifolds with reduced characteristic holonomy. We focus on 3-(α,δ)-Sasaki manifolds and (α,δ)-Sasaki manifolds, the latter being a convenient reformulation of spin η-Einstein α-Sasaki manifolds. Investigating a 1-parameter family of G 2-connections on the tangent bundle, we obtain several approximate solutions as well as one new class of exact solutions on degenerate 3-(α,δ)-Sasaki manifolds.

Original language	English
Article number	105635
Number of pages	33
Journal	Journal of Geometry and Physics
Volume	217
Early online date	1 Sept 2025
DOIs	https://doi.org/10.1016/j.geomphys.2025.105635
Publication status	Published - 30 Nov 2025

Keywords

Heterotic supergravity
G2-instantons
Reducible holonomy
Connections with skew-torsion
3-(alpha,delta)-Sasaki manifolds
Sasaki-Einstein manifolds
3-(α,δ)-Sasaki manifolds
Sasaki–Einstein manifolds
G -instantons

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10.1016/j.geomphys.2025.105635Licence: CC BY

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© 2025 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
Final published version, 1.63 MBLicence: CC BY

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title = "The heterotic G2 system with reducible characteristic holonomy",

abstract = "We construct solutions to the heterotic G 2 system on almost contact metric manifolds with reduced characteristic holonomy. We focus on 3-(α,δ)-Sasaki manifolds and (α,δ)-Sasaki manifolds, the latter being a convenient reformulation of spin η-Einstein α-Sasaki manifolds. Investigating a 1-parameter family of G 2-connections on the tangent bundle, we obtain several approximate solutions as well as one new class of exact solutions on degenerate 3-(α,δ)-Sasaki manifolds.",

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author = "Mateo Galdeano and Leander Stecker",

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T1 - The heterotic G2 system with reducible characteristic holonomy

AU - Galdeano, Mateo

AU - Stecker, Leander

PY - 2025/11/30

Y1 - 2025/11/30

N2 - We construct solutions to the heterotic G 2 system on almost contact metric manifolds with reduced characteristic holonomy. We focus on 3-(α,δ)-Sasaki manifolds and (α,δ)-Sasaki manifolds, the latter being a convenient reformulation of spin η-Einstein α-Sasaki manifolds. Investigating a 1-parameter family of G 2-connections on the tangent bundle, we obtain several approximate solutions as well as one new class of exact solutions on degenerate 3-(α,δ)-Sasaki manifolds.

AB - We construct solutions to the heterotic G 2 system on almost contact metric manifolds with reduced characteristic holonomy. We focus on 3-(α,δ)-Sasaki manifolds and (α,δ)-Sasaki manifolds, the latter being a convenient reformulation of spin η-Einstein α-Sasaki manifolds. Investigating a 1-parameter family of G 2-connections on the tangent bundle, we obtain several approximate solutions as well as one new class of exact solutions on degenerate 3-(α,δ)-Sasaki manifolds.

KW - Heterotic supergravity

KW - G2-instantons

KW - Reducible holonomy

KW - Connections with skew-torsion

KW - 3-(alpha,delta)-Sasaki manifolds

KW - Sasaki-Einstein manifolds

KW - 3-(α,δ)-Sasaki manifolds

KW - Sasaki–Einstein manifolds

KW - G -instantons

UR - https://www.scopus.com/pages/publications/105014756900

U2 - 10.1016/j.geomphys.2025.105635

DO - 10.1016/j.geomphys.2025.105635

M3 - Article

SN - 0393-0440

VL - 217

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

M1 - 105635

ER -

The heterotic G2 system with reducible characteristic holonomy

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Keywords

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