论文标题
具有物质和广义的Bergshoeff-de Roo识别的双场理论
Double Field Theory with matter and the generalized Bergshoeff-de Roo identification
论文作者
论文摘要
标量场完美的流体(SF-PF)对应关系表明,标量场的能量量张量与完美流体的动力学相通。在这项工作中,我们将这个概念推广到研究双场理论的更高衍生结构,并使用统计问题。使用广义的Bergshoeff-de Roo鉴定,我们发现广义标量场Lagrangian的非平凡高衍生校正。但是,这些贡献将使用超级重力级别的字段重新定义删除到任何所需的订单。借助广义的SF-PF对应关系,我们获得了双几何形状中完美流体的更高衍生动力学,这在超级重力水平上也很琐碎。这些结果表明,该程序获得的众所周知的$α'$ - 校正仅纠正有效的真空拉格朗日,而SF-PF Lagrangian耦合到Supergravity背景仍然不校正所有订单。我们的发现适用于一般的(玻色粒型型II-HSZ)超级重力背景。
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.