Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings

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dc.creatorBeisert, Niklas
dc.creatorStaudacher, Matthias
dc.date2005-04-25
dc.date2005-09-26
dc.date.accessioned2026-07-07T11:06:05Z
dc.date.available2026-07-07T11:06:05Z
dc.descriptionWe generalize various existing higher-loop Bethe ansaetze for simple sectors of the integrable long-range dynamic spin chain describing planar N=4 Super Yang-Mills Theory to the full psu(2,2|4) symmetry and, asymptotically, to arbitrary loop order. We perform a large number of tests of our conjectured equations, such as internal consistency, comparison to direct three-loop diagonalization and expected thermodynamic behavior. In the special case of the su(1|2) subsector, corresponding to a long-range t-J model, we are able to derive, up to three loops, the S-matrix and the associated nested Bethe ansatz from the gauge theory dilatation operator. We conjecture novel all-order S-matrices for the su(1|2) and su(1,1|2) subsectors, and show that they satisfy the Yang-Baxter equation. Throughout the paper, we muse about the idea that quantum string theory on AdS_5xS^5 is also described by a psu(2,2|4) spin chain. We propose asymptotic all-order Bethe equations for this putative "string chain", which differ in a systematic fashion from the gauge theory equations.
dc.description67 pages, In Honor of Hans Bethe, v2: references added, typos fixed, sign conventions improved, v3: published version
dc.identifierhttps://arxiv.org/abs/hep-th/0504190
dc.identifierhttp://arxiv.org/abs/hep-th/0504190
dc.identifierNucl.Phys.B727:1-62,2005
dc.identifierdoi:10.1016/j.nuclphysb.2005.06.038
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189407
dc.subjectHigh Energy Physics - Theory
dc.titleLong-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
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