Berlin 2005 – wissenschaftliches Programm

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GR: Gravitation und Relativitätstheorie

GR 3: Supersymmetrie, SYM

GR 3.2: Vortrag

Freitag, 4. März 2005, 12:00–12:15, TU BH262

Higher-Loop Integrability of Planar N= 4 SYM — •Virginia Dippel — Max-Planck Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, 14476 Potsdam, Germany

The celebrated AdS/CFT Correspondence conjectures a duality between certain string and gauge theories, e.g. type II B superstring theory on an AdS₅ × S⁵ background and 4-dim. N= 4 SYM theory. On a kinematical level the two theories are indeed identical. However, in order to truely test the correspondence, one has to compare the dynamics of gauge and string theory. On the string side the discovery of a σ-model allowed to use very powerful techniques, that come along with integrable models, in order to calculate the energies of so called semiclassical string states. These semiclassical strings are conjectured to be dual to very long, local, gauge invariant SYM operators. Thus, we expect the gauge theory to be integrable as well. Indeed a description of planar N= 4 SYM in terms of an integrable super spin chain was found at the one-loop level. In this talk we are going to investigate subsectors of this theory in which the integrability extends to higher orders in the coupling constant. We will also comment on the mismatch between the gauge and the string side that was observed at three-loop order in this context.