Open BRST algebras, ghost unification and string field theory

Laboratoire de Physique Théorique et Hautes Energies, Paris, France; Ergin Sezgin; International Center for Theoretical Physics, Trieste, Italy
Nuclear Physics B (Impact Factor: 4.33). 01/1988; DOI: 10.1016/0550-3213(88)90326-4
Source: OAI

ABSTRACT Geometrical aspects of the BRST quantization of charged antisymmetric tensor fields and string fields are studied within the framework of the Batalin and Vilkovisky method. In both cases, candidate anomalies which obey the Wess-Zumino consistency conditions are given.

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    ABSTRACT: A generalized BRST formalism is developed and used to quantize Witten's field theory of interacting open bosonic strings. The method is based on an off-shell nilpotent BRST symmetry, which is realized by introducing a set of auxiliary fields. An important role in our approach is played by the structure of the classical gauge algebra.
    Nuclear Physics B - Proceedings Supplements 01/1990; 15:57-65. · 0.88 Impact Factor
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    ABSTRACT: We develop a systematic method for constructing the gauged BRST symmetry for any theory. In this framework, the gauged BRST symmetry results as the combination of two basic symmetries of the gauge-fixed theory which one considers: the BRST symmetry and the ghost number symmetry, this latter being promoted to a local one. From this, we can derive a general relation between the BRST and the ghost number Noether currents. We then take advantage of the present method to elaborate on a geometrical algorithm leading to the obtainment of the gauged BRST symmetry for a large class of theories, in arbitrary dimensions of space. These involve systems of antisymmetric tensor gauge fields of arbitrary rank, eventually coupled to gravity. This algorithm allows us to derive algebraically the expressions for the possible consistent anomalies of the BRST Noether current algebras; various examples are explicitly discussed. The gauged BRST symmetry for the free bosonic string is also constructed and used to exhibit the link between the trace anomaly and the nilpotency anomaly of the BRST charge operator. In particular, when the Beltrami parametrization is introduced, we show that the corresponding BRST symmetry can be gauged in a way compatible with the holomorphic factorization. A further use of Ward- Slavnov identities constraining the BRST and ghost number current algebra allows us to recover the well-known local counterterm necessary, at the one-loop level, for rendering the BRST current a good conformal operator.
    Annals of Physics 11/1990; 203(203):339. · 3.32 Impact Factor
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    ABSTRACT: We consider a geometrical description for tensor gauge fields. Based on this geometrical treatment, we develop the theory involving one- and two-form gauge fields by means of the Becchi–Rouet–Stora–Tyutin (BRST) superfield formalism. This permits us to directly obtain invariant Lagrangians for both BRST and anti-BRST transformations and we shall see that all the ingredients of the formalism (ghosts, ghost-for-ghosts and all the auxiliary fields) naturally occur. We introduce collective fields to construct the field–antifield quantum action in a generic gauge. We deal with both Abelian and non-Abelian cases. In this last case, the BRST superspace formulation sheds more light on this still open problem.
    Journal of Mathematical Physics 11/1998; 39(11). · 1.30 Impact Factor

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