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Giant Spinons

We study the spectrum around the &#34;antiferromagnetic&#34; states of the planar AdS_5/CFT_4 duality. In contrast to the familiar large-spin limit J \to \infty where each magnon momentum scales as p \sim 1/J << 1, we consider a novel &#34;large-winding&#34; limit in which the total momentum becomes infinitely large, \sum_j p_j \to \infty. Upon taking the limit we identify &#34;spinon&#34; excitations of both gauge and string theories. In particular, a (classical) string spinon turns out to be an infinite set of spiky strings, which are closely related to well-known infinite-spin strings: giant magnons. Furthermore, we show that the curious agreement of scattering phase-shifts of two spikes and that of two giant magnons can be accounted for by regarding the spinon scattering as factorised scatterings of infinitely many magnons.