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We analyze the conformal bootstrap constraints in theories with four supercharges and a global $O(N) \times U(1)$ flavor symmetry in $3 \leq d \leq 4$ dimensions. In particular, we consider the 4-point function of $O(N)$-fundamental chiral…

高能物理 - 理论 · 物理学 2015-11-25 Shai M. Chester , Luca V. Iliesiu , Silviu S. Pufu , Ran Yacoby

It is argued that N=6 supergravity on $AdS_5$, with gauge group $SU(3)\times U(1)$ corresponds, at the classical level, to a subsector of the ``chiral'' primary operators of N=4 Yang-Mills theories. This projection involves a ``duality…

高能物理 - 理论 · 物理学 2007-05-23 S. Ferrara , M. Porrati , A. Zaffaroni

The genus zero contribution to the four-point correlator $\langle {\cal O}_{p_1}{\cal O}_{p_2}{\cal O}_{p_3}{\cal O}_{p_4}\rangle$ of half-BPS single-particle operators ${\cal O}_p$ in $\mathcal{N}=4$ super Yang-Mills at strong coupling…

高能物理 - 理论 · 物理学 2022-11-01 F. Aprile , J. M. Drummond , H. Paul , M. Santagata

We consider 1/4 BPS black hole solutions of ${\cal N}=2$ gauged supergravity in $AdS_4$. The near horizon geometry is $AdS_2 \times S^2$ and supersymmetry is enhanced. In the first part of the paper we choose a moment map, which allows the…

高能物理 - 理论 · 物理学 2021-02-24 Stefan Forste , Andreas Gerhardus , Joshua Kames-King

Recently D'Hoker et al. (1999) computed 4-point correlation functions of axion and dilaton fields in type IIB SUGRA on AdS_5 x S^5. We reproduce from a CFT point of view all power law singular terms in these AdS 4-point amplitudes. We also…

高能物理 - 理论 · 物理学 2010-02-03 Christopher P. Herzog

In this long overdue second installment, we continue to develop the conformal bootstrap program for ${\mathcal N}=4$ superconformal field theories in four dimensions via an analysis of the correlation function of four stress-tensor…

高能物理 - 理论 · 物理学 2019-07-24 Christopher Beem , Leonardo Rastelli , Balt C. van Rees

The graviton exchange diagram for the correlation function of arbitrary scalar operators is evaluated in anti-de Sitter space, AdS(d+1). This enables us to complete the computation of the 4-point amplitudes of dilaton and axion fields in…

高能物理 - 理论 · 物理学 2010-04-06 Eric D'Hoker , Daniel Z. Freedman , Samir D. Mathur , Alec Matusis , Leonardo Rastelli

We perform a numerical bootstrap study of the mixed correlator system containing the half-BPS operators of dimension two and three in $\mathcal N = 4$ Super Yang-Mills. This setup improves on previous works in the literature that only…

高能物理 - 理论 · 物理学 2021-06-02 Agnese Bissi , Andrea Manenti , Alessandro Vichi

It was recently shown that IIB supergravity on AdS$_5\times$S$^5$ enjoys 10d conformal symmetry and that superstring theory on this background can be described using a 10d scalar effective field theory. In this paper we adapt these two…

高能物理 - 理论 · 物理学 2022-03-30 Theresa Abl , Paul Heslop , Arthur E. Lipstein

We calculate 2-point correlators for New Massive Gravity at the chiral point and find that they behave precisely as those of a logarithmic conformal field theory, which is characterized in addition to the central charges c_L = c_R = 0 by…

高能物理 - 理论 · 物理学 2014-11-20 Daniel Grumiller , Olaf Hohm

We consider the four-point correlator of the stress-energy tensor multiplet in ${\cal N}=4$ SYM. In the planar limit and at large 't Hooft coupling such correlator is given by the corresponding holographic correlation function in IIB…

高能物理 - 理论 · 物理学 2017-11-01 Luis F. Alday , Agnese Bissi

We study analytically the constraints of the conformal bootstrap on the low-lying spectrum of operators in field theories with global conformal symmetry in one and two spacetime dimensions. We introduce a new class of linear functionals…

高能物理 - 理论 · 物理学 2017-05-24 Dalimil Mazac

We initiate the lightcone bootstrap analysis of multipoint correlators in a defect conformal field theory. The setup we consider is the three-point function of two bulk and one defect operator. Requiring consistency of the crossing equation…

高能物理 - 理论 · 物理学 2026-03-30 Lorenzo Bianchi , Andrea Mattiello , Lorenzo Quintavalle

We continue the program [1] of carving out the space of large $N$ confining gauge theories by modern S-matrix bootstrap methods, with the ultimate goal of cornering large $N$ QCD. In this paper, we focus on the effective field theory of…

高能物理 - 理论 · 物理学 2023-07-06 Jan Albert , Leonardo Rastelli

We calculate four-point correlation functions of two weight-2 and two weight-3 1/2-BPS operators in \mathcal{N}=4 SYM in the large N limit in supergravity approximation. By the AdS/CFT conjecture, these operators are dual to AdS…

高能物理 - 理论 · 物理学 2009-11-18 León Berdichevsky , Pieter Naaijkens

We develop a new off-shell formulation for five-dimensional (5D) conformal supergravity obtained by gauging the 5D superconformal algebra in superspace. An important property of the conformal superspace introduced is that it reduces to the…

高能物理 - 理论 · 物理学 2015-02-20 Daniel Butter , Sergei M. Kuzenko , Joseph Novak , Gabriele Tartaglino-Mazzucchelli

The numerical conformal bootstrap is used to study mixed correlators in $\mathcal{N}=1$ superconformal field theories (SCFTs) in $d=4$ spacetime dimensions. Systems of four-point functions involving scalar chiral and real operators are…

高能物理 - 理论 · 物理学 2017-08-02 Daliang Li , David Meltzer , Andreas Stergiou

We study local operator insertions on 1/2-BPS line defects in ABJM theory. Specifically, we consider a class of four-point correlators in the CFT$_1$ with SU$(1, 1|3)$ superconformal symmetry defined on the 1/2-BPS Wilson line. The relevant…

高能物理 - 理论 · 物理学 2020-09-09 Lorenzo Bianchi , Gabriel Bliard , Valentina Forini , Luca Griguolo , Domenico Seminara

In this paper we explore the relation between conformal superalgebras with 64 supercharges and maximal supergravity theories in three, four and six dimensions using twistorial oscillator techniques. The massless fields of N=8 supergravity…

高能物理 - 理论 · 物理学 2015-05-30 Marco Chiodaroli , Murat Gunaydin , Radu Roiban

We consider a semiclassical (large string tension ~ \lambda^1/2) limit of 4-point correlator of two "heavy" vertex operators with large quantum numbers and two "light" operators. It can be written in a factorized form as a product of two…

高能物理 - 理论 · 物理学 2011-03-18 E. I. Buchbinder , A. A. Tseytlin