Bram Brongers

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math.DG2026

Cyclic $L_{3}$ Models and Holomorphic Reduction in Heterotic $G_{2}$ Deformation Theory

Bram Brongers

We construct a finite cyclic $L_{3}$ presentation (that is, a cyclic $L_{\infty}$ algebra with brackets vanishing above arity three) of the variational deformation theory defined by th…

math.DG2026

Derived deformation theory of heterotic $G_{2}$ systems near the standard embedding

Bram Brongers

We study heterotic $G_{2}$ structures near a torsion-free standard embedding, to first order in $α^{'}$ and to all orders in formal deformations. The tangent connection is the Hull conn…

math.DG2026

Chain-level decoupling of the physical heterotic $G_{2}$ deformation complex at the standard embedding

Bram Brongers

The physical deformation complex of heterotic $G_{2}$ compactifications couples instanton deformations to geometric fields and their first-order $α^{'}$ corrections. We give an explicit…

Cyclic L3​ Models and Holomorphic Reduction in Heterotic G2​ Deformation Theory

Derived deformation theory of heterotic G2​ systems near the standard embedding

Chain-level decoupling of the physical heterotic G2​ deformation complex at the standard embedding

Cyclic $L_{3}$ Models and Holomorphic Reduction in Heterotic $G_{2}$ Deformation Theory

Derived deformation theory of heterotic $G_{2}$ systems near the standard embedding

Chain-level decoupling of the physical heterotic $G_{2}$ deformation complex at the standard embedding