M-theory/heterotic Duality: a Kaluza-Klein Perspective

Abstract

We study the duality relationship between M-theory and heterotic string theory at the classical level, emphasising the transformations between the Kaluza-Klein reductions of these two theories on the K3 and T^3 manifolds. Particular attention is devoted to the corresponding structures of sigma-model cosets and the correspondence between the p-brane charge lattices. We also present simple and detailed derivations of the global symmetries and coset structures of the toroidally-compactified heterotic theory in all dimensions D \ge 3, making use of the formalism of solvable Lie algebras.

Latex, 60 pages, Latex 3 times

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Cited by in corpus (35)

• Superstring Cosmology
• Universal Kaluza-Klein reductions of type IIB to N=4 supergravity in five dimensions
• Half-maximal supersymmetry from exceptional field theory
• Brane Gases on K3 and Calabi-Yau Manifolds
• Supersymmetric Consistent Truncations of IIB on T(1,1)
• Equal charge black holes and seven dimensional gauged supergravity
• Large superconformal near-horizons from M-theory
• Timelike Hopf Duality and Type IIA^* String Solutions
• Dynamics of M-Theory Cosmology
• Effective Action for Non-Geometric Fluxes from Duality Covariant Actions
• The Non-Split Scalar Coset in Supergravity Theories
• Noncompact gaugings, chiral reduction and dual sigma models in supergravity
• Consistent KK truncations for M5-branes wrapped on Riemann surfaces
• On N = 2 Truncations of IIB on T^{1,1}
• Dualisation of the Symmetric Space Sigma Model with Couplings
• Inflationary Universe in Higher Derivative Induced Gravity
• Friedmann Equation and Stability of Inflationary Higher Derivative Gravity
• $\mathcal{P}-v$ Criticality in Gauged Supergravities
• Halving ISO(7) supergravity
• Kaluza-Klein Induced Gravity Inflation
• Supergravities on Branes
• Dualisation of the D=7 Heterotic String
• Scalar-Induced Compactifications in Higher Dimensional Supergravities
• Dilatonic Domain Walls and Curved Intersecting Branes
• Coset Symmetries in Dimensionally Reduced Heterotic Supergravity
• On the Symmetric Space Sigma-Model Kinematics
• Kaluza-Klein Higher Derivative Induced Gravity
• Wrapped NS5-Branes, Consistent Truncations and Inönü-Wigner Contractions
• Estimating the Final Spin of Binary Black Holes Merger in STU Supergravity
• Dualisation of the D=9 Matter Coupled Supergravity
• Non-Linear Realisation of the Pure N=4, D=5 Supergravity
• $\mathcal{N}=2$ ${\text{CFT}}_3\text{’s}$ from $\mathcal{N}=4$ gauged supergravity
• Heterotic String Dynamics in the Solvable Lie Algebra Gauge
• An Implicit Decoupling for the Dilatons and the Axions of the Heterotic String
• Integrated field equations of heterotic supergravities