TY - JOUR
T1 - Chiral matter coupled to two-dimensional quantum gravity
AU - Oz, Yaron
AU - Pawełczyk, Jacek
AU - Yankielowicz, Shimon
PY - 1991/10/7
Y1 - 1991/10/7
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=13544274601&partnerID=8YFLogxK
U2 - 10.1016/0550-3213(91)80033-I
DO - 10.1016/0550-3213(91)80033-I
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AN - SCOPUS:13544274601
SN - 0550-3213
VL - 363
SP - 555
EP - 572
JO - Nuclear Physics, Section B
JF - Nuclear Physics, Section B
IS - 2-3
ER -