117 citations · 1.6k across the 133 of their papers we have counts for
7 papers · 1 filter
M-theory, the signature theorem, and geometric invariants
Hisham Sati
The equations of motion and the Bianchi identity of the C-field in M-theory are encoded in terms of the signature operator. We then reformulate the topological part of the action i…
Duality and cohomology in M-theory with boundary
Hisham Sati
We consider geometric and analytical aspects of M-theory on a manifold with boundary Y. The partition function of the C-field requires summing over harmonic forms. When Y is closed…
Twisted topological structures related to M-branes
Hisham Sati
Studying the M-branes leads us naturally to new structures that we call Membrane-, Membrane^c-, String^K(Z,3)- and Fivebrane^K(Z,4)-structures, which we show can also have twisted…
Geometric and topological structures related to M-branes II: Twisted String and String^c structures
Hisham Sati
The actions, anomalies, and quantization conditions allow the M2-brane and the M5-brane to support, in a natural way, structures beyond Spin on their worldvolumes. The main example…
Geometry of Spin and Spin^c structures in the M-theory partition function
Hisham Sati
We study the effects of having multiple Spin structures on the partition function of the spacetime fields in M-theory. This leads to a potential anomaly which appears in the eta-in…
Hypermatrix factors for string and membrane junctions
Yuhan Fang, Shir Levkowitz, Hisham Sati +1
The adjoint representations of the Lie algebras of the classical groups SU(n), SO(n), and Sp(n) are, respectively, tensor, antisymmetric, and symmetric products of two vector space…
Geometric and topological structures related to M-branes
Hisham Sati
We consider the topological and geometric structures associated with cohomological and homological objects in M-theory. For the latter, we have M2-branes and M5-branes, the analysi…