arXiv subjects

Xi-Yang Ran

Publications and source records attributed to Xi-Yang Ran.

3 recordsLinked to original sources

arXiv2026

Stress Tensor Deformations in dS/CFT: Mixed Boundary Conditions, Spectrum Flow and Pseudo Entropy

We formulate a semiclassical stress tensor deformation dictionary in the context of the dS/CFT correspondence. Using the metric-flow formulation, we propose that stress tensor deformations of the putative boundary theory are encoded holographically as mixed boundary conditions for the bulk metric at future infinity. The coupled flow equations determine the deformed boundary metric and stress tensor, thereby specifying the source--response relation of the deformed boundary theory. We test the proposal in Kerr-dS$_3$/CFT$_2$, where the conserved charges constructed from the holographic boundary stress tensor agree exactly with the boundary spectrum obtained from the field-theoretic flow equation, providing a nontrivial consistency check of the dictionary. As an application, we compute the holographic pseudo entropy of boundary intervals from complexified geodesic saddles in the deformed Kerr-dS$_3$ geometry, and present explicit results for the $T\bar{T}$ and root-$T\bar{T}$ deformations.

hep-th↗

arXiv2025

Holography for stress-energy tensor flows

We study the holographic description for general stress-energy tensor deformations in arbitrary dimensions using the metric flow approach. Mixed boundary conditions corresponding to these deformations emerge from solutions to the metric flow equations. To test this proposal, we analyze planar anti-de Sitter black holes with such boundary conditions and find that the deformed energies satisfy flow equations consistent with the field theory interpretation. We further derive the commuting condition for stress-energy tensor deformations and extend the mixed boundary condition description to accommodate families of commuting deformations.

hep-th↗

arXiv2025

Geometric realization via irrelevant deformations induced by the stress-energy tensor

In this paper, we generalize the deformations driven by the stress-energy tensor $T$ and investigate their relation to the flow equation for the background metric at the classical level. For a deformation operator $\mathcal{O}$ as a polynomial function of the stress-energy tensor, we develop a formalism that relates a deformed action to a flow equation for the metric in arbitrary spacetime dimensions. It is shown that in the $T\bar{T}$ deformation and the $\mathcal{O}(T)=\text{tr}[\textbf{T}]^m$ deformation, the flow equations for the metric allow us to directly obtain exact solutions in closed forms. We also demonstrate the perturbative approach to find the same results. As several applications of the $\mathcal{O}(T)=\text{tr}[\textbf{T}]^m$ deformation, we discuss the relation between the deformations and gravitational models. Besides, we also deform the Lagrangians for scalar field theories.

hep-th↗