ProV Logo
0
Equivariant elliptic cohomology, gauged ...
Berwick-Evans, Danie...

Free

Equivariant elliptic cohomology, gauged sigma models, and discrete torsion by Berwick-Evans, Daniel ( Author )
Lemonjar Open Access
N.A
20-10-2014
For G a finite group, we show that functions on fields for the 2-dimensional supersymmetric sigma model with background G-symmetry determine cocycles for complex analytic G-equivariant elliptic cohomology. Similar structures in supersymmetric mechanics determine cocycles for equivariant K-theory with complex coefficients. The path integral for gauge theory with a finite group constructs wrong-way maps associated to group homomorphisms. When applied to an inclusion of groups, we obtain the induced character formula of Hopkins, Kuhn, and Ravenel. For the homomorphism G→∗ we obtain Vafa's formula for gauging with discrete torsion. The image of equivariant Euler classes under gauging constructs modular form-valued invariants of representations that depend on a choice of string structure. We illustrate nontrivial dependence on the string structure for a 16-dimensional representation of the Klein 4-group.
-
Article
pdf
36.88 KB
English
-
MYR 0.01
-
http://arxiv.org/abs/1410.5500
Share this eBook