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020 _a9783540687191
_9978-3-540-68719-1
024 7 _a10.1007/978-3-540-68719-1
_2doi
050 4 _aQC19.2-20.85
072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
082 0 4 _a530.1
_223
100 1 _aBouwknegt, Peter.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 4 _aThe W3 Algebra
_h[electronic resource] :
_bModules, Semi-infinite Cohomology and BV Algebras /
_cby Peter Bouwknegt, Jim McCarthy, Krzysztof Pilch.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1996.
300 _aXI, 204 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v42
505 0 _aand Preliminaries -- W Algebras and Their Modules -- BRST Cohomology of the 4D W3 String -- Batalin-Vilkovisky Algebras -- The BV Algebra of the W3 String.
520 _aW algebras are nonlinear generalizations of Lie algebras that arise in the context of two-dimensional conformal field theories when one explores higher-spin extensions of the Virasoro algebra. They provide the underlying symmetry algebra of certain string generalizations which allow the extended world sheet gravity. This book presents such gravity theories, concentrating on the algebra of physical operators determined from an analysis of the corresponding BRST cohomology. It develops the representation theory of W algebras needed to extend the standard techniques which were so successful in treating linear algebras. For certain strings corresponding to WN gravity we show that the operator cohomology has a natural geometric model. This result suggests new directions for the study of W geometry.
650 0 _aAlgebra.
650 1 4 _aTheoretical, Mathematical and Computational Physics.
_0http://scigraph.springernature.com/things/product-market-codes/P19005
650 2 4 _aAlgebra.
_0http://scigraph.springernature.com/things/product-market-codes/M11000
700 1 _aMcCarthy, Jim.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aPilch, Krzysztof.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783662140925
776 0 8 _iPrinted edition:
_z9783662140918
776 0 8 _iPrinted edition:
_z9783540615286
830 0 _aLecture Notes in Physics Monographs,
_x0940-7677 ;
_v42
856 4 0 _uhttps://doi.org/10.1007/978-3-540-68719-1
912 _aZDB-2-PHA
912 _aZDB-2-LNP
912 _aZDB-2-BAE
999 _c11945
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