含物质的Double Field Theory与广义Bergshoeff-de Roo等同关系
Double Field Theory with matter and the generalized Bergshoeff-de Roo identification
AI总结：
本研究将标量场-理想流体对应关系推广至含统计物质的Double Field Theory，利用广义Bergshoeff-de Roo等同关系得到的高阶修正可通过超引力场重定义消除，表明相关$α'$修正仅作用于有效真空拉格朗日量，适用于一般超引力背景。
摘要：
标量场-理想流体（sf-pf）对应关系表明，标量场的能量-动量张量与理想流体的动力学存在对应关系。本研究将这一概念推广，用以研究含统计物质的Double Field Theory的高阶导数结构。利用广义Bergshoeff-de Roo等同关系，我们得到了广义标量场拉格朗日量的非平凡高阶导数修正。然而，通过超引力层面的场重定义，这些修正可在任意所需阶数下被消除。借助广义sf-pf对应关系，我们推导出双几何中理想流体的高阶导数动力学，其在超引力层面也被平凡化。这些结果表明，通过该方法得到的著名$α'$修正仅对有效真空拉格朗日量有修正作用，而耦合到超引力背景的sf-pf拉格朗日量在所有阶数下均保持未修正状态。我们的研究结果适用于一般的（Bosonic-Heterotic-Type II-HSZ）超引力背景。
英文摘要：
The scalar field-perfect fluid (sf-pf) correspondence shows that the energy-momentum tensor of a scalar field is in correspondence with the dynamics of a perfect fluid. In this work we generalize this concept to study the higher-derivative structure of Double Field Theory with statistical matter. Using the generalized Bergshoeff-de Roo identification we find nontrivial higher-derivative corrections for the generalized scalar field Lagrangian. However, these contributions are removed to any desired order using field redefinitions at the supergravity level. By virtue of the generalized sf-pf correspondence we obtain the higher-derivative dynamics for the perfect fluid in the double geometry, which is also trivialized at the supergravity level. These results imply that the well-known $α'$-corrections obtained by this procedure only correct the effective vacuum Lagrangian, while the sf-pf Lagrangian coupled to the supergravity background remains uncorrected to all orders. Our findings apply for a general (Bosonic-Heterotic-Type II-HSZ) supergravity background.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
