Connecting giant magnons to the pp-wave: An interpolating limit of $AdS_5 \times S^5$

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dc.creatorMaldacena, Juan
dc.creatorSwanson, Ian
dc.date2006-12-11
dc.date2007-04-27
dc.date.accessioned2026-07-07T11:43:59Z
dc.date.available2026-07-07T11:43:59Z
dc.descriptionWe consider a particular large-radius limit of the worldsheet $S$-matrix for strings propagating on $AdS_5 \times S^5$. This limiting theory interpolates smoothly between the so-called plane-wave and giant-magnon regimes of the theory. The sigma model in this region simplifies; it stands as a toy model of the full theory, and may be easier to solve directly. The $S$ matrix of the limiting theory is non-trivial, and receives contributions to all orders in the $α'$ expansion. We analyze a guess for the full worldsheet $S$ matrix that was formulated recently by Beisert, Hernandez and Lopez, and Beisert, Eden, and Staudacher, and take the corresponding limit. After doing a Borel resummation we find that the proposed $S$ matrix reproduces the expected results in the giant-magnon region. In addition, we rely on general considerations to draw some basic conclusions about the analytic structure of the $S$ matrix.
dc.description39 pages 5 figures; v2: Statement about singularities at $u_1-u_2 = i$ corrected; v3: Typos, signs and coefficients corrected
dc.identifierhttps://arxiv.org/abs/hep-th/0612079
dc.identifierhttp://arxiv.org/abs/hep-th/0612079
dc.identifierPhys.Rev.D76:026002,2007
dc.identifierdoi:10.1103/PhysRevD.76.026002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201445
dc.subjectHigh Energy Physics - Theory
dc.titleConnecting giant magnons to the pp-wave: An interpolating limit of $AdS_5 \times S^5$
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