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Richard Wedeen

Publications and source records attributed to Richard Wedeen.

2 recordsLinked to original sources
arXiv2024

Volume-Dependent Field Theories

We develop the axiom system proposed by Kontsevich and Segal to define volume-dependent field theories (VFTs), a class of non-topological quantum field theories whose dependence on the background metric factors through the associated density. We construct a well-defined Lorentzian limit of a Wick-rotated VFT defined on smooth, possibly degenerate Lorentzian bordisms with incoming and outgoing boundary both nonempty. When the VFT is reflection positive, this extends the main theorem given by Kontsevich and Segal.

math-ph↗
arXiv2022

Equivariant Chern Weil Forms and The Families Index Theorem

We apply the equivariance --> families principle to a geometric family of Clifford module bundles with an action of a compact Lie group G to prove an equivariant version of Bismut's families index theorem on the differential Borel quotient of the geometric family.

math.DG↗