Symmetries of topological field theories in the BV-framework

A. Accardi; A. Blasi; A. Brandhuber; A. Karlhede; A. Schwarz; A. Schwarz; A.S. Cattaneo; A.W. Aste; C. Lucchesi; C.P. Constantinidis; D. Birmingham; D. Birmingham; E. Guadagnini; E. Witten; F. Delduc; F. Delduc; F. Gieres; F. Gieres; F. Gieres; G. Barnich; G. Barnich; G. Barnich; G.T. Horowitz; H. Ikemori; H. Ikemori; H. Nieder; I.A. Batalin; I.A. Batalin; J. Gomis; J. M. Grimstrup; J. Thierry-Mieg; J.C. Wallet; L. Baulieu; L. Baulieu; L. Baulieu; L. Baulieu; L. Baulieu; L. Baulieu; L. Baulieu; L. Baulieu; L. Baulieu; L. Bonora; L.C. Vilar; L.C. Vilar; M. Abud; M. Blau; M. Carvalho; M. Carvalho; M. Schweda; N. Maggiore; N. Maggiore; O. Piguet; O.F. Dayi; P. Pasanen; R.C. Myers; S. Ouvry; T. Pisar; T. Pisar; T. Pisar

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Symmetries of topological field theories in the BV-framework

Abstract

Topological field theories of Schwarz-type generally admit symmetries whose algebra does not close off-shell, e.g. the basic symmetries of BF models or vector supersymmetry of the gauge-fixed action for Chern-Simons theory (this symmetry being at the origin of the perturbative finiteness of the theory). We present a detailed discussion of all these symmetries within the algebraic approach to the Batalin-Vilkovisky formalism. Moreover, we discuss the general algebraic construction of topological models of both Schwarz- and Witten-type.Comment: 30 page