Tensionless Limit of Pure--Ramond-Ramond Strings and ${\mathrm{AdS}}_{3}/{\mathrm{CFT}}_{2}$

Open Access

Tensionless Limit of Pure–Ramond-Ramond Strings and ${AdS}_{3} / {CFT}_{2}$

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

Phys. Rev. Lett. 131, 161604 – Published 20 October 2023

Abstract

Despite impressive advances in the ${AdS}_{3} / {CFT}_{2}$ 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 ${AdS}_{3} \times S^{3} \times T^{4}$ strings. We find that the leading-order contribution to the anomalous dimensions at small tension is due to the gapless world-sheet excitations, i.e., to the $T^{4}$ bosons and their superpartners, whose interactions are nontrivial.

Received 8 March 2023
Accepted 7 September 2023

DOI:https://doi.org/10.1103/PhysRevLett.131.161604

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Finite temperature field theory Gauge-gravity dualities

Bethe ansatz Exact solutions for many-body systems Integrable systems

Statistical Physics & ThermodynamicsNonlinear DynamicsParticles & Fields

Authors & Affiliations

Alberto Brollo ^*

Dipartimento di Fisica e Astronomia, Università degli Studi di Padova, via Marzolo 8, 35131 Padova, Italy and Fakultät für Mathematik, Technische Universität München, Boltzmannstraße 3, 85748 Garching, Germany

Dennis le Plat ^†

Institut für Mathematik und Physik, Humboldt-Universität zu Berlin, Zum großen Windkanal 2, 12489 Berlin, Germany

Alessandro Sfondrini ^‡

Dipartimento di Fisica e Astronomia, Università degli Studi di Padova, via Marzolo 8, 35131 Padova, Italy; Istituto Nazionale di Fisica Nucleare, Sezione di Padova, via Marzolo 8, 35131 Padova, Italy; and Institute for Advanced Study, Einstein Drive, Princeton, New Jersey 08540, USA

Ryo Suzuki ^§