AdS纯旋量弦中的D膜与非线性相互作用
D-branes and nonlinear interactions in the $AdS$ pure spinor string
AI总结：
本文针对AdS₅×S⁵上的纯旋量弦，通过𝔭𝔰𝔲(2,2|4)的对合自同构构造零通量洛伦兹D膜几何，推导其边界相互作用的一致性方程，实现了D膜探针 sector的描述。
AI中文摘要：
我们针对闭弦道下AdS₅×S⁵上的纯旋量弦，建立了零场边界条件的坐标无关代数描述。该构造由𝔭𝔰𝔲(2,2|4)的对合自同构组织，这类自同构可交换ℤ₄分次的奇 sector；它们的不动子代数给出了候选的半BPS洛伦兹D膜几何，其背景世界体积通量为零，与标准的AdS₂、AdS₃×S¹、AdS₄×S²及相关嵌入一致。这七个代表共同实现了本文所考虑的洛伦兹零通量D1、D3、D5和D7探针 sector。随后，我们构造了物质与鬼边界相互作用的局域假设，并推导了切超联络、横向嵌入及四个鬼胶合耦合的一致性方程组，所得系统是膜世界体积上一组类狄拉克-玻恩-英费尔德运动方程。
英文摘要：
We develop a coordinate-independent algebraic description of zero-field boundary conditions for the pure spinor string on $AdS_5\times S^5$ in the closed-string channel. The construction is organized by involutive automorphisms of $\mathfrak{psu}(2,2|4)$ that exchange the odd sectors of the $\mathbb Z_4$ grading. Their fixed subalgebras provide candidate half-BPS, Lorentzian D-brane geometries with vanishing background world-volume flux, consistent with the standard $AdS_2$, $AdS_3\times S^1$, $AdS_4\times S^2$, and related embeddings. Together, the seven representatives realize the Lorentzian zero-flux D1, D3, D5, and D7 probe sectors considered here. We then construct a local ansatz for the matter and ghost boundary interactions and derive a system of consistency equations for the tangential superconnection, transverse embedding, and four ghost-gluing couplings. The resulting system is a set of Dirac-Born-Infeld-like equations of motion on the brane world-volume.
