Year: 2026
Type: preprint
Abstract: We study four-dimensional Euclidean Nambu-Goto embeddings in eight dimensions in the presence of the Spin(7)-invariant four-form constructed from octonionic structure constants. A broad class of holomorphic maps is shown by direct substitution to satisfy the nonlinear Nambu-Goto Euler-Lagrange equations. For a compatible Spin(7) structure these same embeddings satisfy the Cayley calibration condition. The calculation therefore gives a discrete octonionic selection rule for the relative orientation of an exact Nambu-Goto 4-surface and the Spin(7) structure of the target.
Source: arXiv (Cornell University)
Author: Robertson, Graeme Donald
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7171522874