Letters in Mathematical Physics

, Volume 107, Issue 2, pp 375–408 | Cite as

On Time

  • Alberto S. CattaneoEmail author
  • Michele Schiavina


This note describes the restoration of time in one-dimensional parameterization-invariant (hence timeless) models, namely, the classically equivalent Jacobi action and gravity coupled to matter. It also serves as a timely introduction by examples to the classical and quantum BV-BFV formalism as well as to the AKSZ method.


Parametrization invariant Lagrangian Jacobi action One-dimensional gravity BV BFV AKSZ Spinning particle Supersymmetry 

Mathematics Subject Classification

Primary 81T70 Secondary 70805 83C47 81T45 



We thank the referee for a number of very valuable comments.


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© Springer Science+Business Media Dordrecht 2016

Authors and Affiliations

  1. 1.Institut für MathematikUniversität ZürichZurichSwitzerland
  2. 2.Department of MathematicsUniversity of California at BerkeleyBerkeleyUSA

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