ﻻ يوجد ملخص باللغة العربية
We compute three-point correlation functions in the near-extremal, near-horizon region of a Kerr black hole, and compare to the corresponding finite-temperature conformal field theory correlators. For simplicity, we focus on scalar fields dual to operators ${cal O}_h$ whose conformal dimensions obey $h_3=h_1+h_2$, which we name emph{extremal} in analogy with the classic $AdS_5 times S^5$ three-point function in the literature. For such extremal correlators we find perfect agreement with the conformal field theory side, provided that the coupling of the cubic interaction contains a vanishing prefactor $propto h_3-h_1-h_2$. In fact, the bulk three-point function integral for such extremal correlators diverges as $1/(h_3-h_1-h_2)$. This behavior is analogous to what was found in the context of extremal AdS/CFT three-point correlators. As in AdS/CFT our correlation function can nevertheless be computed via analytic continuation from the non-extremal case.
The non-renormalization of the 3-point functions $tr X^{k_1} tr X^{k_2} tr X^{k_3}$ of chiral primary operators in N=4 super-Yang-Mills theory is one of the most striking facts to emerge from the AdS/CFT correspondence. A two-fold puzzle appears in t
We study near-extremal n-point correlation functions of chiral primary operators, in which the maximal scale dimension k is related to the others by k=sum_i k_i-m with m equal to or smaller than n-3. Through order g^2 in field theory, we show that th
We study the Feynman graph structure and compute certain exact four-point correlation functions in chiral CFT$_4$ proposed by {O}.G{u}rdou{g}an and one of the authors as a double scaling limit of $gamma$-deformed $mathcal{N}=4$ SYM theory. We give fu
In this paper we study a wide class of planar single-trace four point correlators in the chiral conformal field theory ($chi$CFT$_4$) arising as a double scaling limit of the $gamma$-deformed $mathcal{N}=4$ SYM theory. In the planar (tHooft) limit, e
Quantum gravity in the region very near the horizon of an extreme Kerr black hole (whose angular momentum and mass are related by J=GM^2) is considered. It is shown that consistent boundary conditions exist, for which the asymptotic symmetry generato