Chiral matter coupled to 2-d quantum gravity
Dec, 199018 pages
Published in:
- Nucl.Phys.B 363 (1991) 555-572
- Published: 1991
Report number:
- TAUP-1848-90,
- WIS-90-73-PH
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Abstract: (Elsevier)
Chiral matter coupling to two-dimensional quantum gravity is analyzed in the light-cone gauge. This theory exhibits both conformal and gravitational anomalies. The anomalous Ward identities are integrated and yield recursion relations among the correlation functions. An underlying SL(2, ℝ) × U(1) current algebra is revealed. Exact formula for the SL(2, ℝ) central charge and a relation connecting scaling dimensions and spin of fields are derived. The exact results and the renormalization of the U(1) charge of the fermion field are checked to one-loop order.- quantum gravity
- dimension: 2
- matter: chiral
- light cone gauge
- anomaly
- Ward identity
- correlation function
- current algebra: SL(2,R) x U(1)
- central charge
- charge: renormalization
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