On the consistency of coset space dimensional reduction

Abstract

In this letter we consider higher-dimensional Yang-Mills theories and examine their consistent coset space dimensional reduction. Utilizing a suitable ansatz and imposing a simple set of constraints we determine the four-dimensional gauge theory obtained from the reduction of both the higher-dimensional Lagrangian and the corresponding equations of motion. The two reductions yield equivalent results and hence they constitute an example of a consistent truncation.

14 pages

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Cited by in corpus (14)

• Exploiting N=2 in consistent coset reductions of type IIA
• Dimensional Reduction of the Heterotic String over nearly-Kaehler manifolds
• Reducing the Heterotic Supergravity on nearly-Kahler coset spaces
• Dimensional Reduction, Monopoles and Dynamical Symmetry Breaking
• $N=1$ trinification from dimensional reduction of $N=1$, $10D$ $E_8$ over $SU(3)/U(1)\times U(1)\times Z_3$ and its phenomenological consequences
• Dimensional Reduction and Vacuum Structure of Quiver Gauge Theory
• Standard(-like) Model from an SO(12) Grand Unified Theory in six-dimensions with $S_2$ extra-space
• Coset Space Dimensional Reduction and Wilson Flux Breaking of Ten-Dimensional N=1, E(8) Gauge Theory
• Coset Space Dimensional Reduction of Einstein--Yang--Mills theory
• Phenomenological Consequences of Supersymmetric Theories from Dimensional Reduction and Reduction of Couplings
• Unified Gauge Theories and Reduction of Couplings: from Finiteness to Fuzzy Extra Dimensions
• Model building by coset space dimensional reduction in eight-dimensions
• Model building by coset space dimensional reduction in ten-dimensions with direct product gauge symmetry
• Equivariance on Discrete Space and Yang-Mills-Higgs Model