Heterotic supersymmetry, anomaly cancellation and equations of motion

Abstract

We show that the heterotic supersymmetry (Killing spinor equations) and the anomaly cancellation imply the heterotic equations of motion in dimensions five, six, seven, eight if and only if the connection on the tangent bundle is an instanton. For heterotic compactifications in dimension six this reduces the choice of that connection to the unique SU(3) instanton on a manifold with stable tangent bundle of degree zero.

LaTeX 2e, 11 pages, exposition clarified, reference added, final version to appear in Phys. Lett. B

References in corpus (11)

• Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String Theory
• Non-Kaehler Heterotic String Compactifications with non-zero fluxes and constant dilaton
• Geometry of all supersymmetric type I backgrounds
• Gauge Theory in higher dimensions, II
• Supersymmetric heterotic string backgrounds
• Curvature decomposition of G_2 manifolds
• Supersymmetry breaking, heterotic strings and fluxes
• Existence of Supersymmetric Hermitian Metrics with Torsion on Non-Kaehler Manifolds
• Compact supersymmetric solutions of the heterotic equations of motion in dimension 5
• The CTA Observatory
• Solution of heterotic Killing spinor equations and special geometry

Cited by in corpus (49)

• Torsion-free generalized connections and Heterotic Supergravity
• Holomorphic Bundles and the Moduli Space of N=1 Supersymmetric Heterotic Compactifications
• Solutions of the Strominger System via Stable Bundles on Calabi-Yau Threefolds
• Instantons and Killing spinors
• Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry
• Connections, Field Redefinitions and Heterotic Supergravity
• A Metric for Heterotic Moduli
• Heterotic string from a higher dimensional perspective
• Heterotic compactifications on nearly Kähler manifolds
• Invariant solutions to the Strominger system and the heterotic equations of motion
• Finite deformations from a heterotic superpotential: holomorphic Chern--Simons and an $L_{\infty }$ algebra
• The infinitesimal moduli space of heterotic $G_2$ systems
• Double quiver gauge theory and nearly Kahler flux compactifications
• The Heterotic Superpotential and Moduli
• Heterotic fluxes and supersymmetry
• Moduli Stabilising in Heterotic Nearly Kähler Compactifications
• Nearly Kähler heterotic compactifications with fermion condensates
• Lectures on the Strominger system
• Heterotic backgrounds via generalised geometry: moment maps and moduli
• Non-Kaehler Heterotic String Solutions with non-zero fluxes and non-constant dilaton
• Heterotic Quantum Cohomology
• Domain Walls, Triples and Acceleration
• Heterotic Supergravity with Internal Almost-Kähler Spaces, Instantons for $SO(32)$, or $E_8\times E_8$, Gauge Groups, and Deformed Black Holes with Soliton, Quasiperiodic and/or Pattern-forming Structures
• Heterotic G_2-manifold compactifications with fluxes and fermionic condensates
• Off-Diagonal Deformations of Kerr Metrics and Black Ellipsoids in Heterotic Supergravity
• The Abelian Heterotic Conifold
• Order ${\alpha }^{\prime }$ heterotic domain walls with warped nearly Kähler geometry
• The heterotic ${\mathrm{G}}_2$ system on contact Calabi--Yau $7$-manifolds
• $\mathcal{G}$-structure symmetries and anomalies in $(1,0)$ non-linear $\sigma$-models
• The Hull-Strominger system and the Anomaly flow on a class of solvmanifolds
• Small gauge transformations and universal geometry in heterotic theories
• New curvature flows in complex geometry
• A method of deforming G-structures
• Purely coclosed G${}_2$-structures on 2-step nilpotent Lie groups
• Homogeneous heterotic supergravity solutions with linear dilaton
• Moduli of $G_2$ structures and the Strominger system in dimension 7
• Instantons on conical half-flat 6-manifolds
• Instantons, five-branes and fractional strings
• The Anomaly flow on nilmanifolds
• Solutions of Strominger system from unitary representations of cocompact lattices of SL(2,C)
• The heterotic G${}_2$ system with reducible characteristic holonomy
• Generalized Compactification in Heterotic String Theory
• Three-generation solutions of equations of motion in heterotic supergravity
• Transversality for the moduli space of Spin(7)-instantons
• Moduli in General $SU(3)$-Structure Heterotic Compactifications
• The quaternionic Heisenberg group and Heterotic String Solutions with non-constant dilaton in dimensions 7 and 5
• Lorentzian manifolds equipped with a concircularly semi-symmetric metric connection
• Heterotic solitons on four-manifolds
• Families of solutions of the heterotic G${}_2$ system