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We complete the project of specifying the Lorentzian AdS/CFT correspondence and its approximation by bulk semi-classical methods begun by earlier authors. At the end, the Lorentzian treatment is self-contained and requires no analytic…

高能物理 - 理论 · 物理学 2009-11-10 Donald Marolf

We study asymptotics of three point coefficients (light-light-heavy) and two point correlators in heavy states in unitary, compact $2$D CFTs. We prove an upper and lower bound on such quantities using numerically assisted Tauberian…

高能物理 - 理论 · 物理学 2021-05-19 Diptarka Das , Yuya Kusuki , Sridip Pal

In two dimensional conformal field theories the limit of large central charge plays the role of a semi-classical limit. Certain universal observables, such as conformal blocks involving the exchange of the identity operator, can be expanded…

高能物理 - 理论 · 物理学 2023-06-07 Nathan Benjamin , Scott Collier , Alexander Maloney , Viraj Meruliya

We transform the one-loop four-point type $\mathrm{I}$ open superstring gluon amplitude to correlation functions on the celestial sphere including both the (non-)orientable planar and non-planar sector. This requires a Mellin transform with…

高能物理 - 理论 · 物理学 2024-08-06 Daniel Bockisch

We use commutativity of null-integrated operators on the same null plane to construct dispersive CFT sum rules for spinning operators. The contribution of heavy blocks to these sum rules is dominated by a saddle configuration that we call…

高能物理 - 理论 · 物理学 2025-02-25 Cyuan-Han Chang , Yakov Landau , David Simmons-Duffin

All correlation functions of conserved currents of the CFT that is dual to unbroken Vasiliev theory are found as invariants of higher-spin symmetry in the bulk of AdS. The conformal and higher-spin symmetry of the correlators as well as the…

高能物理 - 理论 · 物理学 2015-06-11 V. E. Didenko , E. D. Skvortsov

We prove a precise form of AdS bulk locality by deriving analytical two-sided bounds on bulk Wilson coefficients. Our bounds are on the Wilson coefficients themselves, rather than their ratios, as is typically found in the literature.…

高能物理 - 理论 · 物理学 2023-08-22 Faizan Bhat , Ahmadullah Zahed

For a given conformal field theory (CFT), one can deform it via the addition of a marginal operator to the spectrum. In two dimensions, when the added operator has conformal weights $h=\bar{h}=1$, conformal symmetry is not broken and the…

高能物理 - 理论 · 物理学 2025-11-27 Michael Imseis , Sruthi A. Narayanan , A. W. Peet

The Goldstone equivalence theorem allows one to relate scattering amplitudes of massive gauge fields to those of scalar fields in the limit of large scattering energies. We generalize this theorem under the framework of the AdS/CFT…

高能物理 - 理论 · 物理学 2015-08-05 Nikhil Anand , Sean Cantrell

A recently conjectured microscopic realization of the dS$_4$/CFT$_3$ correspondence relating Vasiliev's higher-spin gravity on dS$_4$ to a Euclidean $Sp(N)$ CFT$_3$ is used to illuminate some previously inaccessible aspects of the dS/CFT…

高能物理 - 理论 · 物理学 2015-06-04 Gim Seng Ng , Andrew Strominger

In this paper, we first study the consequence of spacetime translations and Lorentz transformations on Celestial CFT OPEs. Working with the light transforms of the operators belonging to the modified Mellin basis, we found that the leading…

高能物理 - 理论 · 物理学 2024-12-31 Sourish Banerjee , Rudranil Basu , Sayali Atul Bhatkar

We explore the connection between the operator product expansion (OPE) in the boundary and worldsheet conformal field theories in the context of AdS$_{d+1}$/CFT$_d$ correspondence. Considering single trace scalar operators in the boundary…

高能物理 - 理论 · 物理学 2017-04-26 Sudip Ghosh , Sourav Sarkar , Mritunjay Verma

The Celestial Holography program encompasses recent efforts to understand the flat space hologram in terms of a CFT living on the celestial sphere. A key development instigating these efforts came from understanding how soft limits of…

高能物理 - 理论 · 物理学 2023-11-07 Sabrina Pasterski

In this paper, we study celestial amplitudes of Goldstone bosons and conformal soft theorems. Motivated by the success of soft bootstrap in momentum space and the important role of the soft limit behavior of tree-level amplitudes, our goal…

高能物理 - 理论 · 物理学 2024-01-02 Karol Kampf , Jiri Novotny , Jaroslav Trnka , Petr Vasko

We give arguments for a conjecture made in a previous paper, that one has to use only the gauged sugra action for the calculation of correlators of certain operators via the AdS-CFT correspondence. The existence of consistent truncations…

高能物理 - 理论 · 物理学 2007-05-23 Horatiu Nastase , Diana Vaman

Starting from the defining two-point and three-point functions of Celestial CFTs, Euclidean integral blocks are constructed for the OPE of scalar primaries. In their integral form they can alternatively be fixed using Poincar\'e symmetry…

高能物理 - 理论 · 物理学 2021-08-31 Alfredo Guevara

We study non-Gaussian bulk 2d CFTs in AdS$_2$ using boundary CFT techniques and recent results in JT/Schwarzian gravity. We highlight the constraints on the operator content of a theory imposed by the boundary conditions by examining the…

高能物理 - 理论 · 物理学 2021-10-12 Cameron V. Cogburn

We revisit the quantization of a free scalar in 4-dimensional (4d) Lorentzian Anti-de-Sitter spacetime (AdS$_4$). We derive solutions to the wave equation that diagonalize time translations in a foliation of AdS$_4$ with null cones. We show…

高能物理 - 理论 · 物理学 2025-12-16 Núria Navarro , Ana-Maria Raclariu

We propose a formula relating scattering S-matrix amplitudes to correlators of a conformal field theory. The proposal implements a flat limit of the field theory, providing an indirect microscopic description of gravitational theories with…

高能物理 - 理论 · 物理学 2019-08-21 Eliot Hijano

We elaborate on the proposal of flat holography in which four-dimensional physics is encoded in two-dimensional celestial conformal field theory (CCFT). The symmetry underlying CCFT is the extended BMS symmetry of (asymptotically) flat…

高能物理 - 理论 · 物理学 2020-04-22 Angelos Fotopoulos , Stephan Stieberger , Tomasz R. Taylor , Bin Zhu