國立高雄大學圖資館 |

登入

回首頁 到查詢結果 [ subject:"String models" ]

String-net construction of RCFT correlators

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	String-net construction of RCFT correlatorsby Jurgen Fuchs, Christoph Schweigert, Yang Yang.
作者:	Fuchs, Jurgen.
其他作者:	Schweigert, Christoph.
出版者:	Cham :Springer International Publishing :2022.
面頁冊數:	x, 123 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	String modelsMathematics.
電子資源:	https://doi.org/10.1007/978-3-031-14682-4
ISBN:	9783031146824$q(electronic bk.)

String-net construction of RCFT correlators
Fuchs, Jurgen.

String-net construction of RCFT correlators[electronic resource] /by Jurgen Fuchs, Christoph Schweigert, Yang Yang. - Cham :Springer International Publishing :2022. - x, 123 p. :ill., digital ;24 cm. - SpringerBriefs in mathematical physics,v. 452197-1765 ;. - SpringerBriefs in mathematical physics ;v.1..

Introduction -- Correlators in rational conformal field theory -- Correlators from string nets -- Correlators of particular interest -- Braided Eckmann-Hilton relation -- Universal correlators -- Appendix.

This book studies using string-net models to accomplish a direct, purely two-dimensional, approach to correlators of two-dimensional rational conformal field theories. The authors obtain concise geometric expressions for the objects describing bulk and boundary fields in terms of idempotents in the cylinder category of the underlying modular fusion category, comprising more general classes of fields than is standard in the literature. Combining these idempotents with Frobenius graphs on the world sheet yields string nets that form a consistent system of correlators, i.e. a system of invariants under appropriate mapping class groups that are compatible with factorization. The authors extract operator products of field objects from specific correlators; the resulting operator products are natural algebraic expressions that make sense beyond semisimplicity. They also derive an Eckmann-Hilton relation internal to a braided category, thereby demonstrating the utility of string nets for understanding algebra in braided tensor categories. Finally, they introduce the notion of a universal correlator. This systematizes the treatment of situations in which different world sheets have the same correlator and allows for the definition of a more comprehensive mapping class group.

ISBN: 9783031146824$q(electronic bk.)

Standard No.: 10.1007/978-3-031-14682-4doiSubjects--Topical Terms:

881802
String models
--Mathematics.

LC Class. No.: QC794.6.S85 / F83 2022

Dewey Class. No.: 539.7258

String-net construction of RCFT correlators
LDR:02572nmm a2200337 a 4500 001 634233
003 DE-He213
005 20230101123249.0
006 m d
007 cr nn 008maaau
008 230511s2022 sz s 0 eng d
020 $a 9783031146824$q(electronic bk.)
020 $a 9783031146817$q(paper)
024 7 $a 10.1007/978-3-031-14682-4 $2 doi
035 $a 978-3-031-14682-4
040 $a GP $c GP
041 0 $a eng
050 4 $a QC794.6.S85 $b F83 2022
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 539.7258 $2 23
090 $a QC794.6.S85 $b F951 2022
100 1 $a Fuchs, Jurgen. $3 940530
245 1 0 $a String-net construction of RCFT correlators $h [electronic resource] / $c by Jurgen Fuchs, Christoph Schweigert, Yang Yang.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2022.
300 $a x, 123 p. : $b ill., digital ; $c 24 cm.
490 1 $a SpringerBriefs in mathematical physics, $x 2197-1765 ; $v v. 45
505 0 $a Introduction -- Correlators in rational conformal field theory -- Correlators from string nets -- Correlators of particular interest -- Braided Eckmann-Hilton relation -- Universal correlators -- Appendix.
520 $a This book studies using string-net models to accomplish a direct, purely two-dimensional, approach to correlators of two-dimensional rational conformal field theories. The authors obtain concise geometric expressions for the objects describing bulk and boundary fields in terms of idempotents in the cylinder category of the underlying modular fusion category, comprising more general classes of fields than is standard in the literature. Combining these idempotents with Frobenius graphs on the world sheet yields string nets that form a consistent system of correlators, i.e. a system of invariants under appropriate mapping class groups that are compatible with factorization. The authors extract operator products of field objects from specific correlators; the resulting operator products are natural algebraic expressions that make sense beyond semisimplicity. They also derive an Eckmann-Hilton relation internal to a braided category, thereby demonstrating the utility of string nets for understanding algebra in braided tensor categories. Finally, they introduce the notion of a universal correlator. This systematizes the treatment of situations in which different world sheets have the same correlator and allows for the definition of a more comprehensive mapping class group.
650 0 $a String models $x Mathematics. $3 881802
650 0 $a Lie groups. $3 190898
650 0 $a Quantum field theory. $3 203819
700 1 $a Schweigert, Christoph. $3 940531
700 1 $a Yang, Yang. $3 714537
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a SpringerBriefs in mathematical physics ; $v v.1. $3 683312
856 4 0 $u https://doi.org/10.1007/978-3-031-14682-4
950 $a Physics and Astronomy (SpringerNature-11651)