{"product_id":"9783662140925","title":"Lecture Notes in Physics Monographs: Modules, Semi-infinite Cohomology and BV Algebras","description":"\u003ch1\u003eLecture Notes in Physics Monographs: Modules, Semi-infinite Cohomology and BV Algebras\u003c\/h1\u003e \u003ch2\u003eBouwknegt, Peter; McCarthy, Jim; Pilch, Krzysztof\u003c\/h2\u003e \u003cp\u003eThe 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 linear algebras.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2013-11-13\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783662140925\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-540-68719-1\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 204\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":44358480265356,"sku":"9783662140925","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783662140925.jpg?v=1776455101","url":"https:\/\/lateknightbooks.com\/products\/9783662140925","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}