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Related papers: More on Heavy-Light Bootstrap up to Double-Stress-…

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We study heavy-light four-point function by employing Lorentzian inversion formula, where the conformal dimension of heavy operator is as large as central charge $C_T\rightarrow\infty$. We implement the Lorentzian inversion formula back and…

High Energy Physics - Theory · Physics 2020-08-26 Yue-Zhou Li

An important part of a CFT four-point function, the stress tensor sector, comprises the exchanges of the stress tensor and its composites. The OPE coefficients of these multi-stress tensor operators and consequently, the complete stress…

High Energy Physics - Theory · Physics 2020-08-19 Robin Karlsson , Manuela Kulaxizi , Andrei Parnachev , Petar Tadić

Near lightcone correlators are dominated by operators with the lowest twist. We consider the contributions of such leading lowest twist multi-stress tensor operators to a heavy-heavy-light-light correlator in a CFT of any even…

High Energy Physics - Theory · Physics 2020-01-29 Robin Karlsson , Manuela Kulaxizi , Andrei Parnachev , Petar Tadić

We probe the conformal block structure of a scalar four-point function in $d\geq2$ conformal field theories by including higher-order derivative terms in a bulk gravitational action. We consider a heavy-light four-point function as the…

High Energy Physics - Theory · Physics 2019-08-27 A. Liam Fitzpatrick , Kuo-Wei Huang

We study the spectrum and OPE coefficients of the three-dimensional critical O(2) model, using four-point functions of the leading scalars with charges 0, 1, and 2 ($s$, $\phi$, and $t$). We obtain numerical predictions for low-twist OPE…

High Energy Physics - Theory · Physics 2020-12-02 Junyu Liu , David Meltzer , David Poland , David Simmons-Duffin

We present a detailed analysis of the 4-point functions of the lowest weight chiral primary operators $O^{I} \sim \tr \phi^{(i}\phi^{j)}$ in $\N =4$ SYM$_4$ at strong coupling and show that their structure is compatible with the predictions…

High Energy Physics - Theory · Physics 2009-10-31 G. Arutyunov , S. Frolov , A. C. Petkou

We study two kinematical limits, the Regge limit and the Lorentzian OPE limit, of the four-point function of the stress-tensor multiplet in Super Yang-Mills at weak coupling. We explain how both kinematical limits are controlled by the…

High Energy Physics - Theory · Physics 2015-06-17 Miguel S. Costa , James Drummond , Vasco Goncalves , Joao Penedones

In strongly coupled conformal field theories with a large central charge important light degrees of freedom are the stress tensor and its composites, multi-stress tensors. We consider the OPE expansion of two-point functions of the stress…

High Energy Physics - Theory · Physics 2022-10-31 Robin Karlsson , Andrei Parnachev , Valentina Prilepina , Samuel Valach

We investigate the structure of conformal Regge trajectories for the maximally supersymmetric (2,0) theories in six dimensions. The different conformal multiplets in a single superconformal multiplet must all have similarly-shaped Regge…

High Energy Physics - Theory · Physics 2022-01-26 Madalena Lemos , Balt C. van Rees , Xiang Zhao

We estimate thermal one-point functions in the 3d Ising CFT using the operator product expansion (OPE) and the Kubo-Martin-Schwinger (KMS) condition. Several operator dimensions and OPE coefficients of the theory are known from the…

High Energy Physics - Theory · Physics 2020-01-29 Luca Iliesiu , Murat Koloğlu , David Simmons-Duffin

Gravitational shockwaves are insensitive to higher-curvature corrections in the action. Recent work found that the OPE coefficients of lowest-twist multi-stress-tensor operators, computed holographically in a planar black hole background,…

High Energy Physics - Theory · Physics 2020-01-29 A. Liam Fitzpatrick , Kuo-Wei Huang , Daliang Li

We study the structure of the four-point correlation function of the lowest-dimension 1/2 BPS operators (stress-tensor multiplets) in the (2,0) six-dimensional theory. We first discuss the superconformal Ward identities and the…

High Energy Physics - Theory · Physics 2015-06-26 G. Arutyunov , E. Sokatchev

We develop the conformal bootstrap program for six-dimensional conformal field theories with $(2,0)$ supersymmetry, focusing on the universal four-point function of stress tensor multiplets. We review the solution of the superconformal Ward…

High Energy Physics - Theory · Physics 2016-01-27 Christopher Beem , Madalena Lemos , Leonardo Rastelli , Balt C. van Rees

We compute two-point functions of lowest weight operators at the next-to-leading order in the couplings for the beta-deformed N=4 SYM. In particular we focus on the CPO Tr(Phi_1^2) and the operator Tr(Phi_1 Phi_2) not presently listed as…

High Energy Physics - Theory · Physics 2009-11-11 Silvia Penati , Alberto Santambrogio , Daniela Zanon

We obtain for the first time the analytic two-loop four-point MHV lightlike form factor of the stress-tensor supermultiplet in planar ${\cal N}=4$ SYM where the momentum $q$ carried by the operator is taken to be massless. Remarkably, we…

High Energy Physics - Theory · Physics 2025-03-11 Yuanhong Guo , Lei Wang , Gang Yang

By applying the stress-tensor-scalar operator product expansion (OPE) twice, we search for algebraic structures in $d=4$ conformal field theories (CFTs) with a pure Einstein gravity dual. We find that a rescaled mode operator defined by an…

High Energy Physics - Theory · Physics 2022-09-07 Kuo-Wei Huang

In this short note we use the flat space limit and the relation between the 4-pt correlation function of the bottom and top components of the stress tensor multiplet to constraint its stringy corrections at strong coupling in the planar…

High Energy Physics - Theory · Physics 2015-04-30 Vasco Gonçalves

We consider a double OPE limit of the planar four-point function of stress tensor multiplets in N = 4 SYM theory. Loop integrands for this correlator have been constructed to very high order, but the corresponding integrals are explicitly…

High Energy Physics - Theory · Physics 2016-08-16 Burkhard Eden , Felix Paul

We analytically study the lightcone limit of the conformal bootstrap equations for 4-point functions containing global symmetry currents and the stress tensor in 3d CFTs. We show that the contribution of the stress tensor to the anomalous…

High Energy Physics - Theory · Physics 2016-04-01 Daliang Li , David Meltzer , David Poland

Following recent work on heavy-light correlators in higher-dimensional conformal field theories (CFTs) with a large central charge $C_T$, we clarify the properties of stress tensor composite primary operators of minimal twist, $[T^m]$,…

High Energy Physics - Theory · Physics 2020-12-02 A. Liam Fitzpatrick , Kuo-Wei Huang , David Meltzer , Eric Perlmutter , David Simmons-Duffin
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