66,426 research outputs found
Lilly Endowment, Inc. - 2008 Annual Report
Contains board chair and president's message; program information; education and religion grantee profiles; grants list; grant guidelines; financial statements; and lists of board members and officers
Motivations and Physical Aims of Algebraic QFT
We present illustrations which show the usefulness of algebraic QFT. In
particular in low-dimensional QFT, when Lagrangian quantization does not exist
or is useless (e.g. in chiral conformal theories), the algebraic method is
beginning to reveal its strength.Comment: 40 pages of LateX, additional remarks resulting from conversations
and mail contents, removal of typographical error
Loop groups and noncommutative geometry
We describe the representation theory of loop groups in terms of K-theory and
noncommutative geometry. This is done by constructing suitable spectral triples
associated with the level l projective unitary positive-energy representations
of any given loop group . The construction is based on certain
supersymmetric conformal field theory models associated with LG in the setting
of conformal nets. We then generalize the construction to many other rational
chiral conformal field theory models including coset models and the moonshine
conformal net.Comment: Revised versio
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