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Deformation Theory Seminar

Wednesday, October 25, 2017 - 2:00pm

Olaf Holm



University of Pennsylvania


I discuss the construction of L-infinity algebras including  
the special case of the Courant algebroid. Then I elaborate on the 
general relation between the data of an L-infinity algebra and a 
classical field theory in theoretical physics. It is argued that there is a 
one-to-one correspondence between consistent field theories and 
L-infinity algebras (up to reasonably defined isomorphisms), 
with the gauge algebra, interactions, etc. of a field theory being 
encoded in the higher brackets of an L-infinity algebra. 
I discuss double field theory as a non-trivial example.