References:

The BV-Formalism

foundational:

  1. A. Schwarz, "Geometry of Batalin-Vilkovisky quantization.", hep-th/9205088
  2. P. Severa, "On the origion of the BV operator on odd symplectic supermanifolds", math.DG/0506331
  3. H. Kudaverdian & Th. Voronov, "Differential Forms on odd symplectic Geometry", math.DG/0606560

applications:

  1. P. Mnev, "Notes on simplicial BF Theory", hep-th/0610326
  2. K. Costello, "Renormalisation and the Batalin-Vilkovisky Formalsim", 0706.1533 [math.QA]
  3. P.O. Kazinski, S.L. Lyakhovich, A.A. Sharapov, "Lagrangian Structure and Quantization", hep-th/0506093

 

Algebraic Structrues in Field Theories

  1. H. Kajiura & J. Stasheff, "Homotopy algebras inspired by classical open-closed string field theory", math.QA/04010291
  2. H. Kajiura & J. Stasheff, "Open-closed homotopy algebras in mathematical physics", hep-th/0510118
  3. C. Lazaroiu, "On the structure of open-closed topological field theory in two-dimensions", hep-th/0010269
  4. G. Moore & G. Segal, "D-branes and K-theory in 2D topological field theory", hep-th/0609042
  5. K. Costello, "Topological Conformal Field Theories and Calabi-Yau categories", math/0412149
  6. D. Sullivan, "Open and Closed String field theory interpreted in classical Algebraic Topology", math/0302332