TY - JOUR
T1 - Anomalies in covariant W-gravity
AU - Ceresole, Anna T.
AU - Frau, Marialuisa
AU - McCarthy, Jim
AU - Lerda, Alberto
N1 - Funding Information:
This work is suppon.ed in part by funds provided by the US Department of Energy ( DOE ) under contracts :n:DE-AC02-76ER03069 and #DE-AC03-818ER40050. and by the National Science Foundation (NSF) under grant PHY-88-04561. NATO-CNR Fellow. On leave of absence from Dipartimento di Fisica Tcorica. tJnivcrsita di Torino, Turin, Italy. Without loss of any essential details we restrict the discussion to the W~-algebra. It has been noticed that the n ,oo limit of W,,-symmetry is linear {2\]: however, the finite n models of interest here arc obtained via truncations from which nonlinearities arc restored.
PY - 1991/8/8
Y1 - 1991/8/8
N2 - We consider free scalar matter covariantly coupled to background W-gravity. Expanding to second order in the W-gravity fields, we study the appropriate anomalous Ward-Takahashi identities and find the counterterms which maintain diffeomorphism invariance and its W-analogue. We see that a redefinition of the vielbein transformation rule under W-diffeomorphism is required in order to cancel nonlocal contributions to the anomaly. Moreover, we explicitly write all gauge invariances at this order. Some consequences of these results for the chiral gauge quantization are discussed.
AB - We consider free scalar matter covariantly coupled to background W-gravity. Expanding to second order in the W-gravity fields, we study the appropriate anomalous Ward-Takahashi identities and find the counterterms which maintain diffeomorphism invariance and its W-analogue. We see that a redefinition of the vielbein transformation rule under W-diffeomorphism is required in order to cancel nonlocal contributions to the anomaly. Moreover, we explicitly write all gauge invariances at this order. Some consequences of these results for the chiral gauge quantization are discussed.
UR - https://www.scopus.com/pages/publications/4243426070
U2 - 10.1016/0370-2693(91)90016-J
DO - 10.1016/0370-2693(91)90016-J
M3 - Article
SN - 0370-2693
VL - 265
SP - 72
EP - 78
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 1-2
ER -