On the near boundary limit of bosonic string theory on $\mathrm{AdS}_3$
Sagnik Misra
National Institute of Science Education and Research, Bhubaneshwar
Аннотация:
Celestial $\mathrm{CFT_d}$ is the putative dual of quantum gravity in asymptotically flat $\mathrm{d+2}$ dimensional space time. We argue that a class of Celestial $\mathrm{CFT_d}$ can be engineered via $\mathrm{AdS_{d+1}}-\mathrm{CFT_d}$ correspondence. Our argument is based on the observation
that if we have a non-conformal theory of gravity on $\mathrm{EAdS_{d+1}}$ then the near boundary scaling limit of such a theory is dual to boundary Celestial $\mathrm{CFT_d}$ with only $\mathrm{SO(d+1, 1)}$ Lorentz invariance. We study more such examples: the near boundary scaling limit of the bosonic string theory on Euclidean $\mathrm{AdS_3}$ and the conformal gravity theory on $\mathrm{EAdS_{d+1}}$.
