Dimensional deconstruction

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In theoretical physics, dimensional deconstruction is a method to construct d-dimensional theories that behave as higher-dimensional theories in a certain range of energies. The resulting theory is a gauge theory whose gauge group is a direct product of many copies of the same group; each copy may be interpreted as the gauge group located at a particular point along a new, discrete, "deconstructed" (d+1)st dimension. The spectrum of matter fields is a set of bifundamental representations expressed by a quiver diagram that is analogous to lattices in lattice gauge theory.

"Deconstruction" in physics was introduced by Nima Arkani-Hamed, Andy Cohen and Howard Georgi, and independently by Christopher T. Hill, Stefan Pokorski and Jing Wang. The latter authors viewed the method as a lattice approximation to the real space of extra dimensions, while maintaining the full gauge symmetries to obtain the low energy effective description of the physics. This leads to a rationale for extensions of the Standard Model based upon product gauge groups, $G\times G\times G...$ , such as anticipated in "topcolor" models of electroweak symmetry breaking.

In fact the "deconstruction" idea was essentially a re-branding of the framework of "Hidden Local Symmetry" of the 1980s (for a review see Phys. Rev. Lett. 54, 1215–1218 (1985) )

The little Higgs theories are also examples of phenomenologically interesting theories inspired by deconstruction.

Deconstruction is also used in a supersymmetric context to address the hierarchy problem and model extra dimensions

References

Nonlinear Realization and Hidden Local Symmetries. Masako Bando (Aichi U.), Taichiro Kugo (Kyoto U.), Koichi Yamawaki (Nagoya U.) Phys.Rept. 164 (1988) 217-314.
(De)constructing dimensions. Nima Arkani-Hamed, Andrew G. Cohen, Howard Georgi. Physical Review Letters 86:4757-4761, 2001.
Gauge invariant effective Lagrangian for Kaluza-Klein modes. Christopher T. Hill, Stefan Pokorski, Jing Wang. Physical Review D64:105005, 2001.
En-gauging Naturalness". http://arxiv.org/abs/1310.4500

External links

Littlest Higgs model and deconstruction: an introduction

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