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Keith R Dienes

Publications and source records attributed to Keith R Dienes.

4 recordsLinked to original sources

Grand unified theory precursors and nontrivial fixed points in higher-dimensional gauge theories.

Within the context of traditional logarithmic grand unification at M(GUT) approximately equal to 10(16) GeV, we show that it is nevertheless possible to observe certain GUT states such as X and Y gauge bosons at lower scales, perhaps even in the TeV range. We refer to such states as "GUT precursors." These states offer an interesting alternative possibility for new physics at the TeV scale, and could be used to directly probe GUT physics even though the scale of gauge coupling unification remains high. Our results also give rise to a Kaluza-Klein realization of nontrivial fixed points in higher-dimensional gauge theories.

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Kaluza-Klein states versus winding states: can both be above the string scale?

Closed strings in extra compactified dimensions give rise to both Kaluza-Klein states and winding states. Since the masses of these states play a reciprocal role, it is often believed that either the lightest Kaluza-Klein states or the lightest winding states must be at or below the string scale. In this Letter, we demonstrate the contrary, showing that there exist toroidal compactifications for which all Kaluza-Klein states as well as all winding states are heavier than the string scale. Within the context of low-scale string theories, this implies that it may be possible to cross the string scale without detecting any states associated with spacetime compactification.

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Shadows of the planck scale: scale dependence of compactification geometry.

By studying the effects of the shape moduli associated with toroidal compactifications, we demonstrate that Planck-sized extra dimensions can cast significant "shadows" over low-energy physics. These shadows distort our perceptions of the compactification geometry associated with large extra dimensions and place a fundamental limit on our ability to probe the geometry of compactification by measuring Kaluza-Klein states. We also find that compactification geometry is effectively renormalized as a function of energy scale, with "renormalization group equations" describing the "flow" of geometric parameters such as compactification radii and shape angles as functions of energy.

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Shape versus volume: making large flat extra dimensions invisible.

We show that the shape moduli associated with large extra dimensions can have a dramatic effect on the corresponding Kaluza-Klein spectra. Specifically, shape moduli can change the mass gap, induce level crossings, and even interpolate between theories with different numbers of compactified dimensions. We also show that in certain cases it is possible to maintain the ratio between the higher-dimensional and four-dimensional Planck scales while simultaneously increasing the Kaluza-Klein graviton mass gap by an arbitrarily large factor. These observations can therefore be used to alleviate many of the experimental bounds on theories with large extra spacetime dimensions.

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