The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations

Details The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations

2006-03-01

arxiv.org/abs/hep-th/0603008v3

J.Phys.A39:13037-13082,2006

Physics

High Energy Physics

High Energy Physics - Theory

59 pages, no figures. v2: typos fixed. v3: more typos fixed, published version

Scientific paper

10.1088/0305-4470/39/41/S15

We use the uniform light-cone gauge to derive an exact gauge-fixed Lagrangian and light-cone Hamiltonian for the Green-Schwarz superstring in AdS5xS5. We then quantize the theory perturbatively in the near plane-wave limit, and compute the leading 1/J correction to a generic string state from the rank-1 subsectors. These investigations enable us to propose a new set of light-cone Bethe equations for the quantum string. The equations have a simple form and yield the correct spinning string and flat space limits. Finally, we clarify the notion of closed sectors in string theory by proving the existence of perturbative effective string Hamiltonians which are direct analogues of (all loop) dilatation operators in the dual N=4 gauge theory.

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