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Abstract
The connection between spin and statistics is examined in the context of locally covariant quantum field theory. A generalization is proposed in which locally covariant theories are defined as functors from a category of framed spacetimes to a category of ∗algebras. This allows for a more operational description of theories with spin, and for the derivation of a more general version of the spinstatistics connection in curved spacetimes than previously available. The proof involves a "rigidity argument" that is also applied in the standard setting of locally covariant quantum field theory to show how properties such as Einstein causality can be transferred from Minkowski spacetime to general curved spacetimes.
Original language  English 

Title of host publication  Quantum Mathematical Physics 
Subtitle of host publication  A Bridge between Mathematics and Physics 
Editors  Felix Finster, Johannes Kleiner, Christian Röken, Jürgen Tolksdorf 
Place of Publication  Basel 
Publisher  Birkhauser 
Pages  118 
Number of pages  18 
ISBN (Electronic)  9783319269023 
ISBN (Print)  9783319269009 
Publication status  Published  9 Mar 2016 
Event  Quantum Mathematical Physics A Bridge between Mathematics and Physics  University of Regensburg, Regensburg, Germany Duration: 29 Sep 2014 → 2 Oct 2014 
Conference
Conference  Quantum Mathematical Physics A Bridge between Mathematics and Physics 

Country/Territory  Germany 
City  Regensburg 
Period  29/09/14 → 2/10/14 
Bibliographical note
© 2016. Springer International Publishing Switzerland. This is an authorproduced version of the published paper. Uploaded in accordance with the publisher’s selfarchiving policy. Further copying may not be permitted; contact the publisher for details.Activities
 1 Conference participation

Quantum Mathematical Physics A Bridge between Mathematics and Physics
Chris Fewster (Invited speaker)
29 Sep 2014 → 2 Oct 2014Activity: Participating in or organising an event › Conference participation