On the Fermionic Frequencies of Circular Strings

Abstract

We revisit the semiclassical computation of the fluctuation spectrum around different circular string solutions in AdS_5xS^5 and AdS_4xCP^3, starting from the Green-Schwarz action. It has been known that the results for these frequencies obtained from the algebraic curve and from the worldsheet computations sometimes do not agree. In particular, different methods give different results for the half-integer shifts in the mode numbers of the frequencies. We find that these discrepancies can be removed if one carefully takes into account the transition matrices in the spin bundle over the target space.

13 pages, 1 figure

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• Superspace calculation of the four-loop spectrum in N=6 supersymmetric Chern-Simons theories
• One Loop Amplitudes In ABJM
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Macroscopic (and Microscopic) Massless Modes
• Correlation Function of Circular Wilson Loops at Strong Coupling
• Exact computation of one-loop correction to energy of pulsating strings in AdS_5 x S^5
• Finite-size corrections for quantum strings on AdS_4 x CP^3
• Eliminating ambiguities for quantum corrections to strings moving in $Ad{S}_4\times {\mathbb{CP}}^3$
• "Short" spinning strings and structure of quantum AdS_5 x S^5 spectrum
• Review of AdS/CFT Integrability, Chapter II.2: Quantum Strings in AdS5xS5
• On type 0 string theory in solvable RR backgrounds