Journal Article

Protected string spectrum in AdS3/CFT2 from worldsheet integrability

Sax, Olof Ohlsson, Torrielli, Alessandro, Baggio, Marco, Stefański, Bogdan, Sfondrini, Alessandro

2017

Overview

A bstract We derive the protected closed-string spectra of AdS 3 /CFT 2 dual pairs with 16 supercharges at arbitrary values of the string tension and of the three-form fluxes. These follow immediately from the all-loop Bethe equations for the spectra of the integrable worldsheet theories. Further, representing the underlying integrable systems as spin chains, we find that their dynamics involves length-changing interactions and that protected states correspond to gapless excitations above the Berenstein-Maldacena-Nastase vacuum. In the case of AdS 3 × S 3 × T 4 the degeneracies of such operators precisely match those of the dual CFT 2 and the supergravity spectrum. On the other hand, we find that for AdS 3 × S 3 × S 3 × S 1 there are fewer protected states than previous supergravity calculations had suggested. In particular, protected states have the same su(2) charge with respect to the two three-spheres.

• Publisher: Springer Berlin Heidelberg,Springer Nature B.V,SpringerOpen
• Subject: AdS-CFT Correspondence / Bethe Ansatz / Classical and Quantum Gravitation / Conformal Field Theory / Elementary Particles / Fluxes / High energy physics / Physics / Physics and Astronomy / Quantum Field Theories / Quantum Field Theory / Quantum Physics / Regular Article - Theoretical Physics / Relativity Theory / Spin dynamics / String Theory / Strings / Supergravity