Split Chern–Simons Theory in the BV-BFV Formalism

  • Alberto S. CattaneoEmail author
  • Pavel Mnev
  • Konstantin Wernli
Part of the Mathematical Physics Studies book series (MPST)


The goal of this note is to give a brief overview of the BV-BFV formalism developed by the first two authors and Reshetikhin in (Cattaneo et al., Commun Math Phys 332(2), 535–603, 2014) [9], (Cattaneo et al., Perturbative Quantum Gauge Theories on Manifolds with Boundary, 2015) [10] in order to perform perturbative quantisation of Lagrangian field theories on manifolds with boundary, and present a special case of Chern–Simons theory as a new example.



A.S.C. and K.W. acknowledge partial support of SNF Grants No. 200020-149150/1 and PDFMP2_137103. This research was (partly) supported by the NCCR SwissMAP, funded by the Swiss National Science Foundation, and by the COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology). P. M. acknowledges partial support of RFBR Grant No. 13-01-12405-ofi-m.


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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Alberto S. Cattaneo
    • 1
    Email author
  • Pavel Mnev
    • 2
    • 3
  • Konstantin Wernli
    • 1
  1. 1.Institut für MathematikUniversität ZürichZürichSwitzerland
  2. 2.Max-Planck-Institut für MathematikBonnGermany
  3. 3.St. Petersburg Department of V.A.Steklov Institute of Mathematics of the Russian Academy of SciencesSt. PetersburgRussia

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