Conformal anomaly,virasoro algebra and Chern—Simons cohomology |
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| Authors: | Han-Ying Guo Hai-Cang Ren Ke Wu |
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| Institution: | (1) Institute for Advanced Study, 08540 Princeton, NJ, U.S.A.;(2) Present address: Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing, China;(3) City College of CUNY, 10031 New York, NY, U.S.A.;(4) Present address: The Institute of Theoretical Physics, Academia Sinica, P.O. Box 2735, Beijing, China |
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| Abstract: | We make use of Chern-Simons cohomology and the family index theorem to deal with two-dimensional anomalies, infinite-dimensional algebras and their relations. We also take advantage of Zweibein formulation to treat the world sheet trace anomaly and Virasoro algebra in Polyakov string and to show how the anaomaly-free condition gives rise to the critical dimensions. |
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