activity
20242026
most citedGeometric formulation of generalized root- deformations

29 citations · 31 across the 11 of their papers we have counts for

collaborators

12 papers

hep-th2026

Exact stress-tensor generators distinguish integrable continuations

H. Babaei-Aghbolagh, Song He, Zahra Pezhman

The same leading interaction can coexist with sharply different strong-field responses, even within causal, classically integrable sigma models. We reconstruct exact auto…

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

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-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

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

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…