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Index character associated to the projective Dirac operator
twisted index theory Clifford module K-Theory and Homology Differential Geometry
2011/9/9
Abstract: We calculate the equivariant index formula for an infinite dimensional Clifford module canonically associated to any Riemannian manifold. It encompasses the fractional index formula of the p...
Dirac Operator on Complex Manifolds and Supersymmetric Quantum Mechanics
Dirac Operator Complex Manifolds Supersymmetric Quantum Mechanics
2011/3/2
We explore a new simple N = 2 SQM model describing the motion over complex manifolds in external gauge fields. The nilpotent supercharge Q of the model can be interpreted as a (twisted) exterior holom...
On an inverse problem for a class of Dirac operator with discontinuous coefficient and a spectral parameter in the boundary condition
Dirac operator scattering function main equation
2010/9/25
In this paper, it is examined on the half line the inverse problem of scattering theory for a class Dirac operator with discontinuous coefficient and a spectral parameter in the boundary condition . T...
Heat kernel expansion and induced action for the matrix model Dirac operator
Heat kernel expansion induced action matrix model Dirac operator
2011/3/3
We compute the quantum effective action induced by integrating out fermions in Yang-Mills matrix models on a 4-dimensional background, expanded in powers of a gauge-invariant UV cutoff.
Spectrum of the Wilson Dirac Operator at Finite Lattice Spacings
Spectrum Wilson Dirac Operator Finite Lattice Spacings
2011/3/2
We consider the effect of discretization errors on the microscopic spectrum of the Wilson Dirac
operator using both chiral Perturbation Theory and chiral Random Matrix Theory. A graded
chiral Lagran...
The Integrated Density of States for the Wilson Dirac Operator
Integrated Density of States Wilson Dirac Operator
2010/12/3
It is shown that gauge field-dependent fermion Dirac operators from lattice QCD form an ergodic operator family in the probabilistic sense, provided the gauge field is an ergodic random field. As a co...
The $\bar\mu$-invariant of Seifert fibered homology spheres and the Dirac operator
$\bar\mu$-invariant of Seifert fibered homology spheres Dirac operator
2010/12/8
We derive a formula for the ¯μ–invariant of a Seifert fibered homology sphere in terms of the –invariant of its Dirac operator. As a consequence, we obtain a vanishing result for the index of ce...