TY - JOUR
T1 - Gauged WZW models via equivariant cohomology
AU - García-Compeán, Hugo
AU - Paniagua, Pablo
N1 - Funding Information:
It is a pleasure to thank E. Lupercio and B. Uribe for their advice on the subject considered in this paper. P.P. in particular thanks E. Lupercio for educating him about algebraic and differential topology along the years. We thank J. Figueroa-O’Farrill for useful correspondence. The work of P.P. was supported in part by a CONACyT graduate fellowship. The work of H.G.-C. is supported in part by the CONACyT grant 128761.
PY - 2011/6/14
Y1 - 2011/6/14
N2 - The problem of finding a systematic computation of the gauge-invariant extension of WZW term by using equivariant cohomology is addressed. Witten's analysis for the two-dimensional case is extended to higher dimensions, in particular to four dimensions. It is shown that Cartan's model is used to find the anomaly cancellation condition while Weil's model is more appropriated to express the gauge-invariant extension of the WZW term. In the process we point out that both models are also useful to emphasize some nice relations with the Abelian anomaly.
AB - The problem of finding a systematic computation of the gauge-invariant extension of WZW term by using equivariant cohomology is addressed. Witten's analysis for the two-dimensional case is extended to higher dimensions, in particular to four dimensions. It is shown that Cartan's model is used to find the anomaly cancellation condition while Weil's model is more appropriated to express the gauge-invariant extension of the WZW term. In the process we point out that both models are also useful to emphasize some nice relations with the Abelian anomaly.
KW - Wess-Zumino-Witten models
KW - anomalies
KW - equivariant cohomology
UR - http://www.scopus.com/inward/record.url?scp=79959803159&partnerID=8YFLogxK
U2 - 10.1142/S0217732311035754
DO - 10.1142/S0217732311035754
M3 - Artículo
AN - SCOPUS:79959803159
SN - 0217-7323
VL - 26
SP - 1343
EP - 1352
JO - Modern Physics Letters A
JF - Modern Physics Letters A
IS - 18
ER -