Holographic four-point functions in Toda field theories in $\mathrm{AdS}_2$

DOI10.1007/JHEP04(2019)159zbMATH Open1415.81092arXiv1902.10536OpenAlexW3105300338WikidataQ127960306 ScholiaQ127960306MaRDI QIDQ2421701

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Publication date: 17 June 2019

Published in: (Search for Journal in Brave)

Abstract: We consider Toda field theories in a classical Euclidean $Ad{S}_2$ background. We compute the four-point functions of boundary operators in the $a_1$, $a_2$ and $b_2$ Toda field theories. They take the same form as the four-point functions of generators in the corresponding $mathcalW$-algebras. Therefore we conjecture that the boundary operators are in one-to-one correspondence with the generators in the $mathcalW$-algebras.

Full work available at URL: https://arxiv.org/abs/1902.10536

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