Abstract
In this paper, we extend our study of the holographic R\'enyi entropy of single interval on a torus to the conformal field theory with $\mathcal{W}$ symmetry. To read the possible corrections from $\mathcal{W}$ fields clearly, we compute the thermal correction to the R\'enyi entropy up to the order ${e}^{\ensuremath{-}8\ensuremath{\pi}/TL}$. In the field theory, this requires us to compute the contribution from all the level 4 states, from both the vacuum module and $\mathcal{W}$ primaries. On the gravity side, after computing the eigenvalue of single Schottky generators to the order ${e}^{\ensuremath{-}4\ensuremath{\pi}/TL}$, we obtain the 1-loop quantum correction to the holographic R\'enyi entropy. We find complete agreement between the bulk and boundary theories.
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.
