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20242026
most citedGeometric formulation of generalized root- deformations

29 citations · 32 across the 16 of their papers we have counts for

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hep-th2026

Exact Relevant Stress-Tensor Flows and a Causality No-Go in Self-Dual Electrodynamics

H. Babaei-Aghbolagh, Bin Chen, Song He +1

Can a classically relevant stress-tensor deformation be exactly solvable, duality preserving, and physically causal? We construct an exact power-law family of nonlinear electrodyna…

hep-th2026

The Triple -Like Flow in Quantum Field Theories: Irrelevant, Marginal, and Relevant

H. Babaei-Aghbolagh, Bin Chen, Song He +1

We introduce a one-parameter root--like flow, , which organizes stress-tensor deformations into irrelevant, marginal, and relev…

hep-th2026

Geometric entropy and time-like entanglement entropy on a rotating BTZ black hole

Huayu Dai, Xi-Hao Fang, Mitsutoshi Fujita +1

In this paper, we analyze the double Wick rotation of a rotating BTZ black hole and the entanglement entropy. We derive the transition matrix dual to the double Wick-rotated BTZ bl…

hep-th2026

Correlators in and Root- Deformed CFTs

Bo-Rui Li, Song He, Yu-Xiao Liu

Quasi-primary correlators in two-dimensional conformal field theories deformed simultaneously by and root- are studied. A path-integral formulation motivated by…

hep-th2026

Classifying Causal Nonlinear Electrodynamics via -Parity and Irrelevant Deformations

H. Babaei-Aghbolagh, Komeil Babaei Velni, Song He +1

We investigate the classification of self-dual nonlinear electrodynamic (NED) theories based on their analyticity properties, which are directly linked to invariance under a discre…

hep-th2026

Gravitational formulation of stress-tensor deformed field theories

Yunfei Xie, Yun-Ze Li, Lixin Xu +1

Stress-tensor deformations suggest a geometric origin of emergent gravity but are typically non-local for . We couple a seed QFT to Einstein gravity with deformation parameter…

hep-th2025

A Unified Causal Framework for Nonlinear Electrodynamics Black Hole from Courant-Hilbert Approach: Thermodynamics and Singularity

H. Babaei-Aghbolagh, Komeil Babaei Velni, Song He +1

We develop a unified framework for analyzing black hole thermodynamics and spacetime structure in Einstein gravity coupled to causal nonlinear electrodynamics (NED) in asymptotical…

hep-th2025

Thermodynamic topology of Einstein-Maxwell-Dilaton Theories

H. Babaei-Aghbolagh, Habib Esmaili, Song He +1

We present a systematic investigation of the thermodynamic topology for a broad class of asymptotically charged Anti-de Sitter (AdS) black holes in Einstein-Maxwell-Dilaton (EMD) t…

hep-th2025★ 1 cited

Integrable Sigma Models and Universal Root Deformation via Courant-Hilbert Approach

H. Babaei-Aghbolagh, Bin Chen, Song He

We develop a unified Courant--Hilbert framework for constructing two-dimensional integrable sigma models deformed by two couplings: a marginal one and an irrelevant one . Th…

hep-th2025★ 1 cited

Root- Flows Unify 4D Duality-Invariant Electrodynamics and 2D Integrable Sigma Models

H. Babaei-Aghbolagh, Bin Chen, Song He

We present a unified framework that connects four-dimensional duality-invariant nonlinear electrodynamics and two-dimensional integrable sigma models via the Courant-Hilbert and ne…

hep-th2025

Self-Dual Electrodynamics via the Characteristic Method: Relativistic and Carrollian Perspectives

Bin Chen, Song He, Jue Hou

Electric-magnetic duality plays a pivotal role in understanding the structure of nonlinear electrodynamics (NED). The Gaillard-Zumino (GZ) criterion provides a powerful constraint…

hep-th2025

Root- Deformations on Causal Self-Dual Electrodynamic Theories

Hossein Babaei-Aghbolagh, Komeil Babaei Velni, Song He +1

The self-dual condition, which ensures invariance under electromagnetic duality, manifests as a partial differential equation in nonlinear electromagnetism theories. The general so…

hep-th2025★ 1 cited

Deformation: Introduction and Some Recent Advances

Song He, Yi Li, Hao Ouyang +1

This review explores recent advances in the theory of deformation, an irrelevant yet solvable deformation of quantum field theories defined via the quadratic form of the…

hep-th2025

Generalized -like flows for scalar theories in two dimensions

H. Babaei-Aghbolagh, Song He, Hao Ouyang

We demonstrate that the necessary condition for duality invariance manifests as a partial differential equation in two-dimensional scalar theories. This condit…

hep-th2024

Generalized -like Deformations in Duality-Invariant Nonlinear Electrodynamic Theories

H. Babaei-Aghbolagh, Song He, Hao Ouyang

This study introduces a high-order perturbation methodology to categorize two primary solution types within duality-invariant nonlinear electrodynamic theories, adhering to the dif…

hep-th2024★ 29 cited

Geometric formulation of generalized root- deformations

H. Babaei-Aghbolagh, Song He, Tommaso Morone +2

We develop a generic geometric formalism that incorporates both -like and root--like deformations in arbitrary dimensions. This framework applies to a wide fami…