An alternative BRST operator for topological Landau-Ginzburg models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, LaTex. 2 references added. elaboration of previous footnote at the end of section 2

Scientific paper

10.1016/0370-2693(95)01008-E

We propose a new BRST operator for the B-twist of $N=2$ Landau-Ginzburg (LG) models. It solves the problem of the fractional ghost numbers of Vafa's old BRST operator and shows how the model is obtained by gauge fixing a zero action. An essential role is played by the anti-BRST operator,which is given by one of the supersymmetries of the $N=2$ algebra. Its presence is needed in proving that the model is indeed a topological field theory. The space of physical observables, defined by taking the anti-BRST cohomology in the BRST cohomology groups, is unchanged.

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