| 书目名称 | The W3 Algebra | | 副标题 | Modules, Semi-infini | | 编辑 | Peter Bouwknegt,Jim McCarthy,Krzysztof Pilch | | 视频video | http://file.papertrans.cn/923/922106/922106.mp4 | | 丛书名称 | Lecture Notes in Physics Monographs | | 图书封面 |  | | 描述 | The study of W algebras began in 1985 in the context of two-dimensional conf- mal field theories, the aim being to explore higher-spin extensions of the Virasoro algebra. Given the simultaneous growth in the understanding of two-dimensional metric gravity inspired by analyses of string models, it was inevitable that these algebras would be applied to give analogues of putative higher-spin gravity t- ories. This book is an exposition of the past few years of our work on such an application for the algebra: in particular, the BRST quantization of the n- critical 4D string. We calculate the physical spectrum as a problem in BRST cohomology. The corresponding operator cohomology forms a BV algebra, for which we provide a geometrical model. The algebra has one further generator, of spin three, in addition to the (spin two) energy-momentum tensor which generates the Virasoro algebra. C- trary to the Virasoro algebra, it is an algebra defined by nonlinear relations. In deriving our understanding of the resulting gravity theories we have had to - velop a number of results on the representation theory of W algebras, to replace the standard techniques that were so successful in treating line | | 出版日期 | Book 1996 | | 关键词 | Virasaro algebra; W*-geometry; algebra; cohomology; field; geometry; gravity; lie algebra; linear algebra; qu | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-540-68719-1 | | isbn_softcover | 978-3-662-14092-5 | | isbn_ebook | 978-3-540-68719-1Series ISSN 0940-7677 | | issn_series | 0940-7677 | | copyright | Springer-Verlag Berlin Heidelberg 1996 |
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