7,262 research outputs found
Anomalies and Invertible Field Theories
We give a modern geometric viewpoint on anomalies in quantum field theory and
illustrate it in a 1-dimensional theory: supersymmetric quantum mechanics. This
is background for the resolution of worldsheet anomalies in orientifold
superstring theory.Comment: 21 pages, based talk at String-Math 2013; small corrections in v
Special Kahler Manifolds
We give an intrinsic definition of the special geometry which arises in
global N=2 supersymmetry in four dimensions. The base of an algebraic
integrable system exhibits this geometry, and with an integrality hypothesis
any special Kahler manifold is so related to an integrable system. The
cotangent bundle of a special Kahler manifold carries a hyperkahler metric. We
also define special geometry in supergravity in terms of the special geometry
in global supersymmetry.Comment: 29 pages, amstex, revised version contains minor corrections, to
appear in Commun. Math. Phy
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