State sums in two dimensional fully extended topological field theories
MetadataShow full item record
A state sum is an expression approximating the partition function of a d-dimensional field theory on a closed d-manifold from a triangulation of that manifold. To consider state sums in completely local 2-dimensional topological field theories (TFT's), we introduce a mechanism for incorporating triangulations of surfaces into the cobordism ([infinity],2)-category. This serves to produce a state sum formula for any fully extended 2-dimensional TFT possibly with extra structure. We then follow the Cobordism Hypothesis in classifying fully extended 2-dimensional G-equivariant TFT's for a finite group G. These are oriented theories in which bordisms are equipped with principal G-bundles. Combining the mechanism mentioned above with our classification results, we derive Turaev's state sum formula for such theories.
Showing items related by title, author, creator and subject.
Chacaltana Alarcon, Oscar Chacaltana (2011-08)We describe a procedure for classifying 4D N=2 superconformal theories of the type introduced by Davide Gaiotto. Any punctured curve, C, on which the 6D (2,0) SCFT is compactified, may be decomposed into 3-punctured spheres, ...
Fontes, Ernest Eugene; 0000-0002-4150-2942 (2017-05-04)We introduce the notion of a bounded weight structure on a stable [infinity symbol]-category and prove a generalization of Waldhausen’s sphere theorem for the algebraic K-theory of higher categories. The algebraic K-theory ...
The atypical environmentalist : the rhetoric of environmentalist identity and citizenship in the Texas coal plant opposition movement Thatcher, Valerie Lynn (2013-12)Many contemporary grassroots environmental campaigns do not begin in urban areas but in small towns, rural enclaves, and racially or economically disadvantaged communities. Citizens with no previous activist experience or ...