Macroscopic (and Microscopic) Massless Modes

Abstract

We study certain spinning strings exploring the flat directions of AdS3 x S3 x S3 x S1, the massless sector cousins of su(2) and sl(2) sector spinning strings. We describe these, and their vibrational modes, using the D(2,1;α)^2 algebraic curve. By exploiting a discrete symmetry of this structure which reverses the direction of motion on the spheres, and alters the masses of the fermionic modes s \to 1-s, we find out how to treat the massless fermions which were previously missing from this formalism. We show that folded strings behave as a special case of circular strings, in a sense which includes their mode frequencies, and we are able to recover this fact in the worldsheet formalism. We use these frequencies to calculate one-loop corrections to the energy, with a version of the Beisert-Tseytlin resummation.

32 pages, 2 figures. v2 corrects equation (64) and our normalisation of mass, and matches the published version

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Cited by in corpus (21)

• Protected string spectrum in AdS3/CFT2 from worldsheet integrability
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Massless Lüscher Terms and the Limitations of the AdS3 Asymptotic Bethe Ansatz
• The low-energy limit of AdS${}_3$/CFT${}_2$ and its TBA
• On the spectrum of AdS3 x S3 x T4 strings with Ramond-Ramond flux
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• Integrable open spin-chains in AdS3/CFT2 correspondences
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• Massless sector of AdS_3 superstrings: a geometric interpretation
• Pulsating strings with mixed three-form flux
• An improved AFS phase for AdS3 string integrability
• One-loop quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• Fermionic T-Duality of $Ad{S}_n\times S^n(\times S^n)\times T^m$ using IIA Supergravity
• $q$-Poincaré invariance of the $Ad{S}_3/CF{T}_2$ $R$-matrix
• Boost generator in AdS_3 integrable superstrings for general braiding
• A study of integrable form factors in massless relativistic AdS_3
• On N-spike strings in conformal gauge with NS-NS fluxes
• On multi-spin classical strings with NS-NS flux
• Geometry of Massless Scattering in Integrable Superstring
• Norms and scalar products for AdS_3