2026/07/28 by Brenno Carlini Vallilo
Physics and Astronomy · #hep-th
39 pages, 1 figure
arxiv created 2026/07/28 · arxiv updated 2026/07/30
We develop a coordinate-independent algebraic description of zero-field boundary conditions for the pure spinor string on AdS5× S5 in the closed-string channel. The construction is organized by involutive automorphisms of \mathfrakpsu(2,2|4) that exchange the odd sectors of the \mathbb Z4 grading. Their fixed subalgebras provide candidate half-BPS, Lorentzian D-brane geometries with vanishing background world-volume flux, consistent with the standard AdS2, AdS3× S1, AdS4× S2, 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.