BRST Approach to Minimal Models

Felder, Giovanni

doi:10.1016/0550-3213(89)90568-3

BRST Approach to Minimal Models

Giovanni Felder
(
- Zurich, ETH
)

Aug 16, 1988

1 page

Published in:

Nucl.Phys.B 317 (1989) 215,
Nucl.Phys.B 324 (1989) 548 (erratum)

Published: 1989

DOI:

Report number:

Print-88-0618 (ZURICH)

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Abstract:

We introduce a BRST charge in a series of Coulomb gas models in two dimensions. We show that these models, once restricted to BRST states, are equivalent to the minimal two-dimensional conformal invariant models of Belavin, Polyakov and Zamolodchikov. Primary chiral fields are identified with BRST invariant vertex operators with screening charges. These operators are non-vanishing if and only if the “fusion rules” are fulfilled. As an application, we prove a Feigin-Fuks integral representation for generaln-point functions on the plane and on the torus.

FIELD THEORY: CONFORMAL
FIELD THEORY: TWO-DIMENSIONAL
GAS: COULOMB
CHARGE: BECCHI-ROUET-STORA
CHARGE: SCREENING
OPERATOR: VERTEX
N-POINT FUNCTION

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