Uniform Light-Cone Gauge for Strings in AdS5 x S5: Solving su(1|1) Sector

By G. Arutyunov, S. Frolov. 2005

148 citations recorded by the source corpus.

We introduce a uniform light-cone gauge for strings propagating in AdS5 × S5 space-time. We use the gauge to analyze strings from the (1|1) sector, and show that the reduced model is described by a quadratic action for two complex fermions. Thus, the uniform light-cone gauge allows us to solve the model exactly. We analyze the near BMN spectrum of states from the (1|1) sector and show that it correctly reproduces the 1/J corrections. We also compute the spectrum in the strong coupling limit, and derive the famous λ1/4 asymptotics. We then show that the same string spectrum can be also derived by solving Bethe ansatz type equations, and discuss their relation to the quantum string Bethe ansatz for the (1|1) sector.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/aeb964ca7e14c037796e1c0859b45f41d8e26c49

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In Nuclear and High Energy Physics

Citations in the corpus

Towards integrability for AdS 3 / CFT 2 ?> (2014, methodology): “In a more general a-dependent gauge fixing [91, 203, 204], we would have ` = P+ = aE t.”
The off-shell symmetry algebra of the light-cone AdS5 × S5 superstring (2006, methodology): “In the particular case a = 0 we deal with the temporal gauge t = τ analyzed in [8] which implies that the light-cone charge P+ coincides with the angular momentum J. In the rest of the paper we will be mostly concentrated with the symmetric choice a = 12 studied in [ 10 , 11].”
Finite-size effects from giant magnons (2006, methodology): “The light-cone gauge appears to simplify drastically computations of 1/J corrections in the near BMN limit as was demonstrated in [48, 20].”
Green-Schwarz Strings in TsT-transformed backgrounds (2005, methodology): “Let us mention, however, that the fermions do have to be neutral under some isometries of AdS5, in particular, shifts of the global AdS time t ≡ ψ3, if one wants to impose the uniform light-cone gauge that was recently used to solve the su(1|1) sector of superstrings in AdS5 × S(5) [27].”
The AdS5xS5 Superstring in Light-Cone Gauge and its Bethe Equations (2006, methodology): “We establish the exact form of the action in the novel uniform light-cone gauge, recently introduced in a truncation to the SU(1|1) subsector [28].”
On correlation functions of operators dual to classical spinning string states (2010, background): “tinct from a short string living in the center of AdS 5 in an almost at geometry. This point of view might thus lead to a cross check of the currently available string computations at strong coupling [37, 38] and the t to numerical Y-system results [39]. The most interesting further directions to ex”