Noncommutative wormholes solutions with conformal motion in the background of f(𝔾, 𝕋) gravity

This study explores the wormhole solutions in [Formula: see text] Gravity. For this purpose we assume two sorts of matter density profiles, which satisfy the Gaussian and Lorentzian noncommutative distributions. Further, we employ the conformal motions in the back ground of nonzero conformal killing vectors to find the shape-function from the modified field equations of [Formula: see text] gravity. By defining the connection between Gaussian and Lorentzian noncommutative distributions with conformal Killing vectors, it has been investigated that wormhole solutions would exist under the particular values of involved parameters in [Formula: see text] gravity.