15 papers
Covariant variation and its applications
Wen-Bin Liu, Jiang Long
We define a covariant variation of tensor fields by combining its Lie derivative with the metric variation. This operator preserves the metric, contractions, and Hodge duality, but…
Spinning bulk-to-boundary correlators in the massless theories with Poincaré symmetry
Jiang Long, Yu-Xuan Wei, Xin-Hao Zhou
We classify the bulk-to-boundary correlators for general integer-spin operators in a Poincaré-invariant theory by imposing suitable fall-off conditions near future/past null in…
Carrollian correlators in black hole perturbation theory
Jiang Long, Zhan-Jia Qu, Hong-Yang Xiao
In this note, we clarify the relationship between the two-point Carrollian correlator and massless scattering in black hole background. It turns out that there are two kinds of Car…
Constraining bulk-to-boundary correlators under Poincaré symmetry
Jiang Long, Jing-Long Yang
It is well known that a general two-point function cannot be uniquely determined by Poincaré symmetry. In this paper, we show that bulk-to-boundary correlators are highly constrain…
Reduction of topological invariants on null hypersurfaces
Jiang Long, Xin-Hao Zhou
Gravitational helicity flux density represents the angular distribution of helicity flux in general relativity. In this work, we explore its relationship to the reduction of topolo…
Extrapolating the massive fields to future timelike infinity
Wen-Bin Liu, Jiang Long
It is well-known that future timelike infinity () in four-dimensional Minkowski spacetime is conformal to the unit three-dimensional hyperboloid (). We asymptotically exp…
Thermal correlator at null infinity
Jiang Long, Hong-Yang Xiao
We study the thermal Carrollian correlators at null infinity in the real-time formalism. We derive the Feynman rules to calculate these correlators in the position space. We comput…
Quantum flux operators in the fermionic theory and their supersymmetric extension
Si-Mao Guo, Wen-Bin Liu, Jiang Long
We construct quantum flux operators with respect to the Poincaré symmetry in the massless Dirac theory at future null infinity. An anomalous helicity flux operator emerges from the…
Carrollian propagator and amplitude in Rindler spacetime
Ang Li, Jiang Long, Jing-Long Yang
We study the three-dimensional Carrollian field theory on the Rindler horizon which is dual to a bulk massless scalar field theory in the four-dimensional Rindler wedge. The Carrol…
On the definition of Carrollian amplitudes in general dimensions
Wen-Bin Liu, Jiang Long, Hong-Yang Xiao +1
Carrollian amplitude is the natural object that defines the correlator of the boundary Carrollian field theory. In this work, we will elaborate on its proper definition in general…
Electromagnetic helicity flux operators in higher dimensions
Wen-Bin Liu, Jiang Long, Xin-Hao Zhou
The helicity flux operator is a fascinating quantity that characterizes the angular distribution of the helicity of radiative photons or gravitons and it has many interesting physi…
Feynman rules and loop structure of Carrollian amplitudes
Wen-Bin Liu, Jiang Long, Xiao-Quan Ye
In this paper, we derive the Carrollian amplitude in the framework of bulk reduction. The Carrollian amplitude is shown to relate to the scattering amplitude by a Fourier transform…
Holographic dictionary from bulk reduction
Wen-Bin Liu, Jiang Long
We propose a holographic dictionary which comes from reducing the bulk theories in an asymptotically flat spacetime to its null infinity. A general boundary theory is characterized…
Quantum flux operators in higher spin theories
Wen-Bin Liu, Jiang Long, Xin-Hao Zhou
We construct Carrollian higher spin field theories by reducing the bosonic Fronsdal theories in flat spacetime to future null infinity. We extend the Poincaré fluxes to quantum flu…
Quantum flux operators for Carrollian diffeomorphism in general dimensions
Ang Li, Wen-Bin Liu, Jiang Long +1
We construct Carrollian scalar field theories in general dimensions, mainly focusing on the boundaries of Minkowski and Rindler spacetime, whose quantum flux operators form a faith…