# nLab Hisham Sati

Hisham Sati (faculty page) is working on non-perturbative phenomena in string theory/M-theory using tools of cohomology, homotopy theory, algebraic topology and higher category theory. His thesis advisor was Michael Duff.

Hisham Sati is an associate professor of mathematics at NYU Abu Dhabi and lead-PI of the Center for Quantum and Topological Systems.

From his cached Pitt faculty page:

My research is interdisciplinary and lies in the intersection of differential geometry, algebraic topology, and mathematical/theoretical physics. I am mainly interested in geometric and topological structures arising from quantum (topological) field theory, string theory, and M-theory. This includes orientations with respect to generalized cohomology theories, and corresponding description via higher geometric, topological, and categorical notions of bundles.

## Selected publications

• part I, Proc. Symp. Pure Math. 81 (2010), 181-236 (arXiv:1001.5020),

part II: Twisted $String$ and $String^c$ structures, J. Australian Math. Soc. 90 (2011), 93-108 (arXiv:1007.5419);

part III: Twisted higher structures, Int. J. Geom. Meth. Mod. Phys. 8 (2011), 1097-1116 (arXiv:1008.1755)

on cohomology and twisted cohomology structures in string theory/M-theory. See also twisted smooth cohomology in string theory.

On the Diaconescu-Moore-Witten anomaly interpreted in integral Morava K-theory:

On F4 and Cayley plane-fiber bundles in M-theory, relating to bosonic M-theory:

• Hisham Sati, $\mathbb{O}P^2$-bundles in M-theory, Commun. Num. Theor. Phys 3:495-530,2009 (arXiv:0807.4899)

• Hisham Sati, On the geometry of the supermultiplet in M-theory, Int. J. Geom. Meth. Mod. Phys. 8 (2011) 1-33 (arXiv:0909.4737)

On mathematical foundations of quantum field theory and perturbative string theory:

Discussion of twisted differential K-theory and its relation to D-brane charge in type II string theory (see also there):

Discussion of twisted differential orthogonal K-theory and its relation to D-brane charge in type I string theory (on orientifolds):

On (co-)homotopical foundations of M-theory (Hypothesis H):

In relation to the Hopf WZ term and Page charge:

On Cohomotopy and Hypothesis H:

On U-duality (and possibly mysterious duality) via Hypothesis H as automorphisms of iterated (rational) cyclic loop spaces of the (rational) 4-sphere:

category: people

Last revised on September 10, 2022 at 08:04:46. See the history of this page for a list of all contributions to it.