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Super-Lie n-algebra extensions, higher WZW models and super-p-branes with tensor multiplet fields

Super-Lie n-algebra extensions, higher WZW models and super-p-branes with tensor multiplet fields

We formalize higher-dimensional and higher gauge WZW-type sigma-model local prequantum field theory, and discuss its rationalized/perturbative description in (super-)Lie n-algebra homotopy theory (the true home of the "FDA"-language used in the supergravity literature). We show generally how the intersection laws for such higher WZW-type σ-model branes (open brane ending on …