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arXiv 2408.07464hep-th
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含边界时空中的D膜有效拉格朗日量

D-Brane Effective Lagrangian in Spacetimes with Boundaries

Ali Baradaran-Hosseini, Mohammad R. Garousi

备注：
26 pages, Latex file, no figure; v2: it appears in EPJC; v3: A mistake in section 3 is corrected. The NS-NS fields are assumed to be constant. Otherwise, the boundary DBI action would not be invariant under T-duality
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AI总结：

本文研究含边界时空中D膜在T对偶下的转化，利用T对偶约束推导DBI拉格朗日量的体项与边界项高阶导数修正。

摘要：

在本研究中，我们探讨了当D膜嵌入具有边界的时空时，$D_p$膜在T对偶性下向$D_{p-1}$膜的转化。我们的目标是推导体项和边界项对Dirac-Born-Infeld（DBI）拉格朗日量的高阶导数修正。对于体项，我们计算了无质量开弦场的$\alpha'$修正，最高至无量纲Maxwell场强的8阶。我们证明，体拉格朗日量能够满足T对偶性约束，且在基空间中不存在残余的全导数项。这确定了体拉格朗日量中无质量开弦场的最一般独立耦合，包含145个耦合常数，最多涉及三个参数。其中两个参数是物理的，由圆盘层级S矩阵元确定；第三个参数是非物理的，可以通过场重定义和分部积分消去。体拉格朗日量的最终结果由49个耦合组成。对于边界项，将T对偶对称性应用于无质量开弦场，使我们能够扩展DBI拉格朗日量，以纳入边界的外禀曲率。

英文摘要：

In this study, we explore the transformation of $D_p$-branes to $D_{p-1}$-branes under T-duality when the $D$-brane is embedded in a spacetime with a boundary. Our goal is to derive the higher-derivative corrections to the Dirac-Born-Infeld (DBI) Lagrangian for both the bulk and boundary terms. For the bulk terms, we calculate the $α'$ corrections for the massless open string fields, up to the 8th order in the dimensionless Maxwell field strength. We demonstrate that the bulk Lagrangian can satisfy the T-duality constraint without residual total derivative terms in the base space. This determines the most general independent couplings of the massless open string fields in the bulk Lagrangian, encompassing 145 coupling constants, up to three parameters. Two of these parameters are physical and are determined by disk-level S-matrix elements, while the third is unphysical and can be eliminated by field redefinitions and integration by parts. The final result for the bulk Lagrangian consists of 49 couplings. For the boundary terms, applying T-duality symmetry to the massless open string field allows us to extend the DBI Lagrangian to incorporate the extrinsic curvature of the boundary.

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。

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