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

Arutyunov, Gleb; Frolov, Sergey

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

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Frolov, Sergey
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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jhep012006055.pdf
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Citation

Arutyunov, G., & Frolov, S. (2006). Uniform Light-Cone Gauge for Strings in AdS5 x S5: Solving su(1|1) Sector. Journal of High Energy Physics, 2006(1): 055.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4B5E-3

Abstract

We introduce a uniform light-cone gauge for strings propagating in AdS5 × S5 space-time. We use the gauge to analyze strings from the fraktur sfraktur u(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 fraktur sfraktur u(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 fraktur sfraktur u(1|1) sector.