Abstract
Building on [31] we investigate the integrable structure of the Wess-Zumino-Witten (WZW) model describing closed strings on AdS3× S 3× T4. Using the recently-proposed integrable S matrix we show analytically that all wrapping corrections cancel and that the theory has a natural spin-chain interpretation. We construct the integrable spin chain and discuss its relation with the WZW description. Finally we compute the spin-chain spectrum in closed form and show that it matches the WZW prediction on the nose.
Highlights
The correspondence between gravity on AdS3 and conformal field theory in two dimensions (CFT2) is a key example of holographic duality [1, 2]
These can be solved exactly — which is hardly ever the case — leading to a simple formula for the finite-size energy. In this way we can prove that all wrapping effects cancel and the mirror thermodynamic Bethe anstaz (TBA) equations coincide with the Bethe-Yang ones (2.9), substantiating our claim that strings on pure-NS-NS AdS3 × S3 × T4 are equivalent to a spin-chain with no wrapping effects
Motivated by the observations of the previous section, we propose an integrable spin chain describing the spectrum of closed strings on AdS3 × S3 × T4 with pure-NS-NS background fluxes
Summary
The correspondence between gravity on AdS3 and conformal field theory in two dimensions (CFT2) is a key example of holographic duality [1, 2]. We start by reviewing some properties of the light-cone gauge (Green-Schwarz) construction for strings on AdS3 × S3 × T4 supported by pure-NS-NS fluxes, and by summarising the claims of ref. In an effort to make this paper self-contained we present some review material in the appendices: the uniform light-cone gauge [42,43,44] for AdSn × Sn strings (appendix A), a technical point on the worldsheet S matrix “frames” [16, 29] (appendix B), the derivation of the mTBA equations for a non-relativistic theory of bosons and fermions with diagonal scattering (appendix C) and some essential features of the WZW construction for strings on AdS3 × S3 × T4 (appendix D). We start by briefly reviewing some features of strings on the pure-NS-NS AdS3 × S3 × T4 background which motivate our construction, following refs. [27, 31, 36]
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
