Topological Quantum Field Theories from Compact Lie Groups

DSpace/Manakin Repository

Topological Quantum Field Theories from Compact Lie Groups

Citable link to this page

. . . . . .

Title: Topological Quantum Field Theories from Compact Lie Groups
Author: Freed, Daniel; Hopkins, Michael J.; Lurie, Jacob Alexander; Teleman, Constantin

Note: Order does not necessarily reflect citation order of authors.

Citation: Freed, Daniel, Michael J. Hopkins, Jacob Alexander Lurie, and Constantin Teleman. 2010. Topological quantum field theories from compact lie groups. In A Celebration of the Mathematical Legacy of Raoul Bott, vol. 50 of CRM Proceedings and Lecture Notes, ed. P. Robert Kotiuga, 367-403. Providence, RI: American Mathematical Society.
Full Text & Related Files:
Abstract: It is a long-standing question to extend the definition of 3-dimensional Chern-Simons theory to one which associates values to 1-manifolds with boundary and to 0-manifolds. We provide a solution in case the gauge group is a torus. We also develop from different points of view an associated 4-dimensional invertible topological field theory which encodes the anomaly of Chern-Simons. Finite gauge groups are also revisited, and we describe a theory of "finite path integrals" as a general construction for a certain class of finite topological field theories. Topological pure gauge theories in lower dimension are presented as a warm-up.
Other Sources: http://arxiv.org/abs/0905.0731v2
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:10009465

Show full Dublin Core record

This item appears in the following Collection(s)

  • FAS Scholarly Articles [7470]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

Search DASH


Advanced Search
 
 

Submitters