Existence of conformal symmetric wormhole with phantom Energy in f (R, Lm, T) tlredry

In this study, we construct a traversable wormhole solution within the framework of f (R, L-m, T) gravity by assuming conformal symmetry. The matter content is modeled using phantom energy, characterized by an equation of state parameter omega <-1, which inherently violates the null energy condition. By employing conformal Killing vector symmetry, we derive exact analytical expressions for the shape function, energy density, and pressure components of the anisotropic fluid. Our analysis includes a detailed examination of the flare-out condition, proper radial distance, embedding diagrams, and the generalized Tolman-Oppenheimer-Volkoff equation. Notably, the model yields a positive active gravitational mass and positive total gravitational energy, despite the presence of exotic matter.