256 citations · 944 across the 58 of their papers we have counts for
9 papers · 1 filter
Holonomy on D-Branes
Alan L. Carey, Stuart Johnson, Michael K. Murray
This paper shows how to construct anomaly free world sheet actions in string theory with -branes. Our method is to use Deligne cohomology and bundle gerbe theory to define geome…
The universal gerbe, Dixmier-Douady class, and gauge theory
Alan L. Carey, Jouko Mickelsson
We clarify the relation between the Dixmier-Douady class on the space of self adjoint Fredholm operators (`universal B-field') and the curvature of determinant bundles over infinit…
Twisted K-theory and K-theory of bundle gerbes
P. Bouwknegt, A. L. Carey, V. Mathai +2
In this note we introduce the notion of bundle gerbe K-theory and investigate the relation to twisted K-theory. We provide some examples. Possible applications of bundle gerbe K-th…
A gerbe obstruction to quantization of fermions on odd dimensional manifolds with boundary
Alan Carey, Jouko Mickelsson
We consider the canonical quantization of fermions on an odd dimensional manifold with boundary, with respect to a family of elliptic hermitean boundary conditions for the Dirac ha…
Bundle Gerbes Applied to Quantum Field Theory
Alan Carey, Jouko Mickelsson, Michael Murray
This paper reviews recent work on a new geometric object called a bundle gerbe and discusses some new examples arising in quantum field theory. One application is to an Atiyah-Pato…
Principal Bundles and the Dixmier Douady Class
Alan L. Carey, Diarmuid Crowley, Michael K. Murray
A systematic consideration of the problem of the reduction and extension of the structure group of a principal bundle is made and a variety of techniques in each case are explored…
Index Theory, Gerbes, and Hamiltonian Quantization
Alan Carey, Jouko Mickelsson, Michael Murray
We give an Atiyah-Patodi-Singer index theory construction of the bundle of fermionic Fock spaces parametrized by vector potentials in odd space dimensions and prove that this leads…
Topological Quantum Field Theory and Seiberg-Witten Monopoles
R. B. Zhang, B. L. Wang, A. L. Carey +1
A topological quantum field theory is introduced which reproduces the Seiberg-Witten invariants of four-manifolds. Dimensional reduction of this topological field theory leads to a…
Mathematical remarks on the cohomology of gauge groups and anomalies
A. L. Carey, M. K. Murray
Anomalies can be viewed as arising from the cohomology of the Lie algebra of the group of gauge transformations and also from the topological cohomology of the group of connections…