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The Lorentzian AdS/CFT correspondence implies a map between local operators in supergravity and non-local operators in the CFT. By explicit computation we construct CFT operators which are dual to local bulk fields in the semiclassical…

High Energy Physics - Theory · Physics 2008-11-26 Alex Hamilton , Daniel Kabat , Gilad Lifschytz , David A. Lowe

We study the celestial CFT dual to theories with bulk supersymmetry. The boundary theory realizes supersymmetry in the spirit of the Green-Schwarz superstring: there is manifest 4d super-Poincar\'e symmetry, but no 2d superconformal…

High Energy Physics - Theory · Physics 2025-07-16 Adam Tropper

We derive forms of light-state dominance for correlators in CFT$_d$, making precise the sense in which correlators can be approximated by the contribution of light operator exchanges. Our main result is that the four-point function of…

High Energy Physics - Theory · Physics 2019-08-13 Per Kraus , Allic Sivaramakrishnan

BPS states in holographic CFTs are usually classified into supergravitons, namely BPS fluctuations around empty AdS, and black-hole microstates, which appear above an energy threshold. In AdS$_3$/CFT$_2$, however, this picture is incomplete…

High Energy Physics - Theory · Physics 2026-04-23 Marcel R. R. Hughes , Kohei Jin , Daiki Matsumoto , Leon Miyahara , Masaki Shigemori

We outline a program for interpreting the higher-spin dS/CFT model in terms of physics in the causal patch of a dS observer. The proposal is formulated in "elliptic" de Sitter space dS_4/Z_2, obtained by identifying antipodal points in…

High Energy Physics - Theory · Physics 2019-12-03 Illan F. Halpern , Yasha Neiman

We present a systematic method to expand in components four dimensional superconformal multiplets. The results cover all possible $\mathcal{N} = 1$ multiplets and some cases of interest for $\mathcal{N} = 2$. As an application of the…

High Energy Physics - Theory · Physics 2020-08-03 Andrea Manenti

In this paper, we studied the relationship between celestial holography and chiral strings. Chiral strings differ from the usual string theory by a change of boundary conditions on the string propagators. It is shown that chiral strings…

High Energy Physics - Theory · Physics 2024-04-02 Hare Krishna , Yu-Ping Wang

We compare and contrast the two approaches of holography in asymptotically flat spacetimes, viz. the co-dimension two Celestial approach based on the Mellin transformation and the co-dimension one Carrollian approach based on the modified…

High Energy Physics - Theory · Physics 2024-01-05 Arjun Bagchi , Prateksh Dhivakar , Sudipta Dutta

Celestial operator product expansions (OPEs) arise from the collinear limit of scattering amplitudes and play a vital role in celestial holography. In this paper, we derive the celestial OPEs of massless fields in string theory from the…

High Energy Physics - Theory · Physics 2021-10-25 Hongliang Jiang

We present a systematic construction of bulk solutions that are dual to CFT excited states. The bulk solution is constructed perturbatively in bulk fields. The linearised solution is universal and depends only on the conformal dimension of…

High Energy Physics - Theory · Physics 2016-04-19 Ariana Christodoulou , Kostas Skenderis

We study homological structure of the filtrations of the spaces of self-adjoint operators by the multiplicity of the ground state. We consider only operators acting in a finite dimensional complex or real Hilbert space but infinite…

Algebraic Topology · Mathematics 2011-10-14 Andrei Agrachev

Marginal operators in a d-dimensional conformal field theory (CFT), those with conformal dimension $\Delta=d$, give us information about the space of related theories. This can be incredibly useful when trying to develop an intrinsic…

High Energy Physics - Theory · Physics 2025-07-22 Sruthi A. Narayanan

Conformally soft operators and their associated soft theorems on the celestial sphere encode the low energy behaviour of bulk scattering amplitudes. They lead to an infinite dimensional symmetry algebra of the celestial CFT at tree-level.…

High Energy Physics - Theory · Physics 2024-03-18 Rishabh Bhardwaj , Akshay Yelleshpur Srikant

Celestial holography provides a reformulation of scattering amplitudes in four dimensional asymptotically flat spacetimes in terms of conformal correlators of operators on the two dimensional celestial sphere in a basis of boost…

High Energy Physics - Theory · Physics 2024-01-22 Laurent Freidel , Daniele Pranzetti , Ana-Maria Raclariu

We continue the study of model-independent constraints on the unitary Conformal Field Theories in 4-Dimensions, initiated in arXiv:0807.0004. Our main result is an improved upper bound on the dimension \Delta of the leading scalar operator…

High Energy Physics - Theory · Physics 2015-03-13 Vyacheslav S. Rychkov , Alessandro Vichi

We set up the computation of correlation functions for operators that are dual to semiclassical string states in strongly coupled defect conformal field theories (dCFTs). In the dCFT that is dual to the D3-D5 probe-brane system, we…

High Energy Physics - Theory · Physics 2023-08-29 George Georgiou , Georgios Linardopoulos , Dimitrios Zoakos

We develop a formalism to study the implications of causality on OPE coefficients in conformal field theories with large central charge and a sparse spectrum of higher spin operators. The formalism has the interpretation of a new conformal…

High Energy Physics - Theory · Physics 2018-12-17 Nima Afkhami-Jeddi , Sandipan Kundu , Amirhossein Tajdini

In an earlier paper [arXiv:2511.03669] we extracted the OPE of celestial CFT operator duals of positive helicity graviton and scalar particles from the Mellin transformed relevant MHV amplitudes of conformal gravity, realised as the bosonic…

High Energy Physics - Theory · Physics 2026-05-08 Nirmal Ghorai , Partha Paul , Nemani V. Suryanarayana

Celestial holography is the conjecture that scattering amplitudes in $(d+2)$-dimensional asymptotically Minkowski spacetimes are dual to correlators of a $d$-dimensional conformal field theory (CFT) on the celestial sphere, called the…

High Energy Physics - Theory · Physics 2025-08-19 Federico Capone , Andy O'Bannon , Ronnie Rodgers , Somyadip Thakur

Multi-collinear factorization limits provide a window to study how locality and unitarity of scattering amplitudes can emerge dynamically from celestial CFT, the conjectured holographic dual to gauge and gravitational theories in flat…

High Energy Physics - Theory · Physics 2021-03-05 Stephen Ebert , Atul Sharma , Diandian Wang