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The Tensionless Limit of Pure-Ramond-Ramond AdS3/CFT2

Alberto Brollo, Dennis le Plat, Alessandro Sfondrini, Ryo Suzuki

TL;DR

This work targets the spectrum of pure-RR $AdS_3\times S^3\times T^4$ strings in the tensionless limit by employing the Mirror TBA constructed for this system. It shows that the leading finite-size corrections arise from the gapless $T^4$ sector with nontrivial interactions, and derives a simplified two-equation TBA in the $h\to0$ regime that focuses on these gapless modes. Numerically, the authors extract anomalous dimensions for excited states, observing 1/$L$-scaling wrapping effects and non-additive multiparticle energies, signaling nonlocal gapless dynamics. The results illuminate the RR regime of AdS3/CFT2, suggest connections to nonlocal spin-chain descriptions and QSC, and pave the way for extending the analysis to finite tension and general flux backgrounds.

Abstract

Despite impressive advances in the AdS3/CFT2 correspondence, the setup involving Ramond-Ramond backgrounds, which is related to the D1-D5 system of branes, remained relatively poorly understood. We use the Mirror TBA equations recently constructed by Frolov and Sfondrini to study the spectrum of pure Ramond-Ramond $AdS_3\times S^3\times T^4$ strings. We find that the leading-order contribution to the anomalous dimensions at small tension is due to the gapless worldsheet excitations, i.e. to the $T^4$ bosons and their superpartners, whose interactions are nontrivial.

The Tensionless Limit of Pure-Ramond-Ramond AdS3/CFT2

TL;DR

This work targets the spectrum of pure-RR strings in the tensionless limit by employing the Mirror TBA constructed for this system. It shows that the leading finite-size corrections arise from the gapless sector with nontrivial interactions, and derives a simplified two-equation TBA in the regime that focuses on these gapless modes. Numerically, the authors extract anomalous dimensions for excited states, observing 1/-scaling wrapping effects and non-additive multiparticle energies, signaling nonlocal gapless dynamics. The results illuminate the RR regime of AdS3/CFT2, suggest connections to nonlocal spin-chain descriptions and QSC, and pave the way for extending the analysis to finite tension and general flux backgrounds.

Abstract

Despite impressive advances in the AdS3/CFT2 correspondence, the setup involving Ramond-Ramond backgrounds, which is related to the D1-D5 system of branes, remained relatively poorly understood. We use the Mirror TBA equations recently constructed by Frolov and Sfondrini to study the spectrum of pure Ramond-Ramond strings. We find that the leading-order contribution to the anomalous dimensions at small tension is due to the gapless worldsheet excitations, i.e. to the bosons and their superpartners, whose interactions are nontrivial.
Paper Structure (6 sections, 23 equations, 3 figures)

This paper contains 6 sections, 23 equations, 3 figures.

Table of Contents

  1. Introduction and Summary
  2. Pure-RR Lightcone Gauge-Fixed Model
  3. Mirror Model and TBA
  4. Tensionless Limit
  5. Tensionless Spectrum
  6. Conclusions and Outlook

Figures (3)

  • Figure 1: Anomalous dimensions for states with $\nu_1=-\nu_2$. Expanding $H=H_{(1)}\,h+O(h^2)$, we plot $H_{(1)}$ for various lengths comparing it with the Bethe-Yang prediction \ref{['eq:BYeqs']} and with the energy of a free model with dispersion \ref{['eq:asymptoticEn']}.
  • Figure 2: The finite-size correction with respect to the Bethe-Yang prediction decreases roughly as $1/L$.
  • Figure 3: Anomalous dimensions for states with $\nu_1=-\nu_2$ and $\nu_3=-\nu_4$. States with $\nu_1=\nu_3$ are allowed as long as the $su(2)$ labels are $\dot{A}_1\neq \dot{A}_3$; Their energy is regular.