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Extended higher cup-product Chern-Simons theories
Domenico Fiorenza, Hisham Sati, Urs Schreiber
The proper action functional of (4k+3)-dimensional U(1)-Chern-Simons theory including the instanton sectors has a well known description: it is given on the moduli space of fields…
M-Theory with Framed Corners and Tertiary Index Invariants
Hisham Sati
The study of the partition function in M-theory involves the use of index theory on a twelve-dimensional bounding manifold. In eleven dimensions, viewed as a boundary, this is give…
The E8 moduli 3-stack of the C-field in M-theory
Domenico Fiorenza, Hisham Sati, Urs Schreiber
The higher gauge field in 11-dimensional supergravity -- the C-field -- is constrained by quantum effects to be a cocycle in some twisted version of differential cohomology. We arg…
Multiple M5-branes, String 2-connections, and 7d nonabelian Chern-Simons theory
Domenico Fiorenza, Hisham Sati, Urs Schreiber
The worldvolume theory of coincident M5-branes is expected to contain a nonabelian 2-form/nonabelian gerbe gauge theory that is a higher analog of self-dual Yang-Mills theory. But…