
AbstractWe discuss the geometry of string and M‐theory gauge fields in Deligne cohomology. In particular, we show how requiring string structure (or loop space SpinC structure) on the five‐brane leads to topological conditions on the flux in the relative Deligne cohomology of the bulk‐brain pair.
High Energy Physics - Theory, world-sheet anomaly, gerbe, FOS: Physical sciences, String and superstring theories in gravitational theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, High Energy Physics - Theory (hep-th), Holonomy, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Deligne cohomology
High Energy Physics - Theory, world-sheet anomaly, gerbe, FOS: Physical sciences, String and superstring theories in gravitational theory, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Yang-Mills and other gauge theories in quantum field theory, High Energy Physics - Theory (hep-th), Holonomy, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Deligne cohomology
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