Super-Lie n-algebra extensions, higher WZW models and super-p-branes with tensor multiplet fields
In: International Journal of Geometric Methods in Modern Physics, 12, 2 International Journal of Geometric Methods in Modern Physics, 12; (2015)
Online
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Zugriff:
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 background brane) are encoded precisely in (super-)L∞-extension theory and how the resulting "extended (super-)space-times" formalize spacetimes containing σ-model brane condensates. As an application we prove in Lie n-algebra homotopy theory that the complete super-p-brane spectrum of superstring/M-theory is realized this way, including the pure σ-model branes (the "old brane scan") but also the branes with tensor multiplet worldvolume fields, notably the D-branes and the M5-brane. For instance the degree-0 piece of the higher symmetry algebra of 11-dimensional (11D) spacetime with an M2-brane condensate turns out to be the "M-theory super-Lie algebra". We also observe that in this formulation there is a simple formal proof of the fact that type IIA spacetime with a D0-brane condensate is the 11D sugra/M-theory spacetime, and of (prequantum) S-duality for type IIB string theory. Finally we give the non-perturbative description of all this by higher WZW-type σ-models on higher super-orbispaces with higher WZW terms in stacky differential cohomology.
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Super-Lie n-algebra extensions, higher WZW models and super-p-branes with tensor multiplet fields
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Autor/in / Beteiligte Person: | Schreiber, Urs ; Sati, Hisham ; Fiorenza, Domenico |
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Quelle: | International Journal of Geometric Methods in Modern Physics, 12, 2 International Journal of Geometric Methods in Modern Physics, 12; (2015) |
Veröffentlichung: | WORLD SCIENTIFIC, 2015 |
Medientyp: | unknown |
ISSN: | 0219-8878 (print) |
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