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.

中文翻译：

---

f(𝔾, 𝕋) 重力背景下保形运动的非对易虫洞解

本研究探讨了[公式：见正文]重力中的虫洞解决方案。为此，我们假设有两种物质密度分布，它们满足高斯和洛伦兹非交换分布。此外，我们利用非零保形杀伤向量背景中的保形运动，从[公式：见文本]重力的修改场方程中找到形状函数。通过用保形Killing向量定义高斯和洛伦兹非交换分布之间的联系，研究了在[公式：参见文本]重力中涉及的参数的特定值下虫洞解将存在。