2-Group Representations for Spin Foams (2009)
Baratin, Aristide, Wise, Derek K.
Just as 3d state sum models, including 3d quantum gravity, can be built using categories of group representations, "2-categories of 2-group representations" may provide interesting state sum models...
Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions (2009)
Einstein gravity in both 3 and 4 dimensions, as well as some interesting generalizations, can be written as gauge theories in which the connection is a Cartan connection for geometry modeled on a...
Symmetric Space Cartan Connections and Gravity in Three and Four Dimensions (2009)
Einstein gravity in both 3 and 4 dimensions, as well as some interesting generalizations, can be written as gauge theories in which the connection is a Cartan connection for geometry modeled on a...
Infinite-Dimensional Representations of 2-Groups (2008)
Baez, John C., Baratin, Aristide, Freidel, Laurent, Wise, Derek K.
A "2-group" is a category equipped with a multiplication satisfying laws like those of a group. Just as groups have representations on vector spaces, 2-groups have representations on "2-vector...
Infinite-Dimensional Representations of 2-Groups (2008)
Baez, John C., Baratin, Aristide, Freidel, Freidel, Wise, Derek K.
A "2-group" is a category equipped with a multiplication satisfying laws like those of a group. Just as groups have representations on vector spaces, 2-groups have representations on "2-vector...
MacDowell-Mansouri gravity and Cartan geometry (2006)
The geometric content of the MacDowell-Mansouri formulation of general relativity is best understood in terms of Cartan geometry. In particular, Cartan geometry gives clear geometric meaning to the...
Exotic Statistics for Strings in 4d BF Theory (2006)
Baez, John C., Wise, Derek K., Crans, Alissa S.
After a review of exotic statistics for point particles in 3d BF theory, and especially 3d quantum gravity, we show that string-like defects in 4d BF theory obey exotic statistics governed by the...
Lattice p-Form Electromagnetism and Chain Field Theory (2005)
Since Wilson's work on lattice gauge theory in the 1970s, discrete versions of field theories have played a vital role in fundamental physics. But there is recent interest in certain higher...
2-Group Representations for Spin Foams
Baratin, Aristide, Wise, Derek K.
Just as 3d state sum models, including 3d quantum gravity, can be built using categories of group representations, "2-categories of 2-group representations" may provide interesting state sum models...