Tensionless Limit of Pure–Ramond-Ramond Strings and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi>AdS</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub><mml:mo>/</mml:mo><mml:msub><mml:mrow><mml:mi>CFT</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math>
Alberto Brollo, Dennis le Plat, Alessandro Sfondrini, Ryō Suzuki
Abstract
Despite impressive advances in the ${\mathrm{AdS}}_{3}/{\mathrm{CFT}}_{2}$ 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 thermodynamic Bethe ansatz (TBA) equations recently constructed by Frolov and Sfondrini to study the spectrum of pure Ramond-Ramond ${\mathrm{AdS}}_{3}\ifmmode\times\else\texttimes\fi{}{\text{S}}^{3}\ifmmode\times\else\texttimes\fi{}{\text{T}}^{4}$ strings. We find that the leading-order contribution to the anomalous dimensions at small tension is due to the gapless world-sheet excitations, i.e., to the ${\text{T}}^{4}$ bosons and their superpartners, whose interactions are nontrivial.