ar X iv : h ep - t h / 93 03 15 4 v 1 2 9 M ar 1 99 3 KANAZAWA - 93 - 2 Gauge Equivalence in Two – Dimensional Gravity
نویسندگان
چکیده
Two-dimensional quantum gravity is identified as a second-class system which we convert into a first-class system via the Batalin-Fradkin (BF) procedure. Using the extended phase space method, we then formulate the theory in most general class of gauges. The conformal gauge action suggested by David, Distler and Kawai is derived from a first principle. We find a local, light-cone gauge action whose Becchi-Rouet-Stora-Tyutin invariance implies Polyakov's curvature equation ∂ − R = ∂ 3 − g ++ = 0, revealing the origin of the SL(2, R) Kac-Moody symmetry. The BF degree of freedom turns out be dynamically active as the Liouville mode in the conformal gauge, while in the light-cone gauge the conformal degree of freedom plays that rôle. The inclusion of the cosmological constant term in both gauges and the harmonic gauge-fixing are also considered.
منابع مشابه
ar X iv : h ep - t h / 93 02 13 0 v 1 2 6 Fe b 19 93 KANAZAWA - 92 - 15 Canonical treatment of two dimensional gravity as an anomalous gauge theory
Canonical treatment of two dimensional gravity as an anomalous gauge theory ABSTRACT The extended phase space method of Batalin, Fradkin and Vilkovisky is applied to formulate two dimensional gravity in a general class of gauges. A BRST formulation of the light-cone gauge is presented to reveal the relationship between the BRST symmetry and the origin of SL(2, R) current algebra. From the same ...
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