D=26 and Exact Solution to the Conformal-Gauge Two-Dimensional Quantum Gravity

Details D=26 and Exact Solution to the Conformal-Gauge Two-Dimensional Quantum Gravity D=26 and Exact Solution to the Conformal-Gauge Two-Dimensional Quantum Gravity

1998-01-28

arxiv.org/abs/hep-th/9801186v2

Int.J.Mod.Phys. A14 (1999) 521-536

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LaTeX

Scientific paper

10.1142/S0217751X99000269

The conformal-gauge two-dimensional quantum gravity is formulated in the framework of the BRS quantization and solved completely in the Heisenberg picture: All n-point Wightman functions are explicitly obtained. The field-equation anomaly is shown to exist as in other gauges, but there is no other subtlety. At the critical dimension D=26 of the bosonic string, the field-equation anomaly is shown to be absent. However, this result is not equivalent to the statement that the conformal anomaly is proportional to D-26. The existence of the FP-ghost number current anomaly is seen to be an illusion.

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