000 04124nam a22006015i 4500
001 978-3-642-39383-9
003 DE-He213
005 20180115171743.0
007 cr nn 008mamaa
008 131030s2014 gw | s |||| 0|eng d
020 _a9783642393839
_9978-3-642-39383-9
024 7 _a10.1007/978-3-642-39383-9
_2doi
050 4 _aQC19.2-20.85
072 7 _aPBWH
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a519
_223
245 1 0 _aConformal Field Theories and Tensor Categories
_h[electronic resource] :
_bProceedings of a Workshop Held at Beijing International Center for Mathematical Research /
_cedited by Chengming Bai, Jürgen Fuchs, Yi-Zhi Huang, Liang Kong, Ingo Runkel, Christoph Schweigert.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2014.
300 _aIX, 279 p. 15 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematical Lectures from Peking University,
_x2197-4209
505 0 _aFrom Hopf algebras to tensor categories -- Pattern-of-zeros approach to Fractional quantum Hall states and a classification of symmetric polynomial of infinite variables -- Virasoro central changes for Nichols algebras -- Logarithmic bulk and boundary conformal field theory and the full centre construction -- Logarithmic tensor category theory for generalized modules for a conformal vertex algebra, I: Introduction and strongly graded algebras and their generalized modules -- C2-cofinite w-algebras and their logarithmic representations -- C1-co_niteness and fusion products of vertex operator algebras.
520 _aThe present volume is a collection of seven papers that are either based on the talks presented at the workshop "Conformal field theories and tensor categories" held June 13 to June 17, 2011 at the Beijing International Center for Mathematical Research, Peking University,  or are extensions of the material presented in the talks at the workshop. These papers present new developments beyond rational conformal field theories and modular tensor categories and new applications in mathematics and physics. The topics covered include tensor categories from representation categories of Hopf algebras, applications of conformal field theories and tensor categories to topological phases and gapped systems, logarithmic conformal field theories and the corresponding non-semisimple tensor categories, and new developments in the representation theory of vertex operator algebras. Some of the papers contain detailed introductory material that is helpful for graduate students and researchers looking for an introduction to these research directions. The papers also discuss exciting recent developments in the area of conformal field theories, tensor categories and their applications and will be extremely useful for researchers working in these areas.
650 0 _aMathematics.
650 0 _aAssociative rings.
650 0 _aRings (Algebra).
650 0 _aCategory theory (Mathematics).
650 0 _aHomological algebra.
650 0 _aNonassociative rings.
650 0 _aMathematical physics.
650 1 4 _aMathematics.
650 2 4 _aMathematical Applications in the Physical Sciences.
650 2 4 _aAssociative Rings and Algebras.
650 2 4 _aCategory Theory, Homological Algebra.
650 2 4 _aNon-associative Rings and Algebras.
650 2 4 _aMathematical Physics.
700 1 _aBai, Chengming.
_eeditor.
700 1 _aFuchs, Jürgen.
_eeditor.
700 1 _aHuang, Yi-Zhi.
_eeditor.
700 1 _aKong, Liang.
_eeditor.
700 1 _aRunkel, Ingo.
_eeditor.
700 1 _aSchweigert, Christoph.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642393822
830 0 _aMathematical Lectures from Peking University,
_x2197-4209
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-39383-9
912 _aZDB-2-SMA
999 _c372756
_d372756