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

By S. Frolov, J. Plefka, M. Zamaklar. 2006

148 citations recorded by the source corpus.

We use the uniform light-cone gauge to derive an exact gauge-fixed Lagrangian and light-cone Hamiltonian for the Green–Schwarz superstring in AdS5 × S5. 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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/42077cb9918abe5c0b985425de700b2199740fba

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In Nuclear and High Energy Physics

Citations in the corpus

Finite-size effects from giant magnons (2006, methodology): “These gauges generalize the standard phase-space light-cone gauge of [43] to a curved background, and have been used to study the dynamics of strings in AdS5 ×S5 [44, 45, 25, 46, 47, 48, 20].”
The off-shell symmetry algebra of the light-cone AdS5 × S5 superstring (2006, methodology): “The explicit expressions for H2 and H4 were derived in [ 11 ] and we also present them in the Appendix to make the paper self-contained.”
String hypothesis for the AdS5 × S5 mirror (2009, methodology): “One starts by imposing the lightcone gauge for the AdS5 × S superstring, and obtains a 2-d non-linear sigma model defined on a cylinder of circumference equal to the light-cone momentum P+ [6, 7].”
The AdS 5 ×S 5 superstring worldsheet S matrix and crossing symmetry (2006, background): “Finally it would be also very interesting to make contact with near-BMN quantization of the AdS5×S(5) superstring (like the very recent work [39]), especially if formulated in an analogous explicit su(1|2) picture.”
On string S-matrix, bound states and TBA (2007, methodology): “Here, a = 1, 2, 3, 4, and we set κ = 1 and rescale σ in the action from [57] so that λ̃ disappears.”
Semiclassical quantization of spinning strings in AdS4 × ℂℙ3 (2008, background): “We note that such a parametrization will be suitable for imposition of the uniform light-cone gauge [31].”
Superstrings on AdS4 × ℂℙ3 as a coset sigma-model (2008, methodology): “his opens up the possibility to investigate (partially κ-gauge ﬁxed) strings on AdS4 ×CP3 by employing the methods built up for the AdS5 ×S5 case. In particular, imposing the uniform light-cone gauge [14, 15] one can develop semiclassical quantization to verify whether classical integrability is pre”