Resummation of multistress tensors in higher dimensions
Year: 2025
Type: article
Abstract: In the context of holographic conformal field theories (CFTs), a system of linear partial differential equations was recently proposed to be the higher-dimensional analog of the null-state equations in d = 2 CFTs at large central charge. Solving these equations in a near-light-cone expansion yields solutions that match the minimal-twist multistress tensor contributions to a heavy-light four-point correlator (or a thermal two-point correlator) computed using holography, the conformal bootstrap, and other methods. This paper explores the exact solutions to these equations. We begin by observing that, in an expansion in terms of the ratio between the heavy operator’s dimension and the central charge, the d = 2 correlator involving the level-two degenerate scalars at each order can be represented as a Bessel function; the resummation yields the Virasoro vacuum block. We next observe a relation between the d = 2 correlator and the d = 4 near-light-cone correlator involving light scalars with the same conformal dimension. The resummed d = 4 correlator takes a simple form in the complex frequency domain. Unlike the Virasoro vacuum block, the resummation in d = 4 leads to essential singularities. Similar expressions are also obtained when the light scalar’s dimension takes other finite values. These CFT results correspond to a holographic computation with a spherical black hole. In addition, using the differential equations, we demonstrate that the correlators can be reconstructed via certain modes. In d = 2 , these modes are related to the Virasoro algebra.
Author: Kuo-Wei Huang
Institution: University of Southampton
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
Funder: UK Research and Innovation
Award: G5565518396
OpenAlex ID: W4407698808