Class information for:
Level 1: SUBFACTORS//PLANAR ALGEBRAS//ALGEBRAIC QUANTUM FIELD THEORY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7505 1361 29.8 41%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
631 2             C ALGEBRA//MATHEMATICS//JOURNAL OF OPERATOR THEORY 13793
7505 1                   SUBFACTORS//PLANAR ALGEBRAS//ALGEBRAIC QUANTUM FIELD THEORY 1361

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 SUBFACTORS authKW 1566494 7% 78% 90
2 PLANAR ALGEBRAS authKW 682435 3% 78% 39
3 ALGEBRAIC QUANTUM FIELD THEORY authKW 223555 1% 59% 17
4 JONES INDEX authKW 190025 1% 71% 12
5 COMMUNICATIONS IN MATHEMATICAL PHYSICS journal 189638 19% 3% 262
6 REVIEWS IN MATHEMATICAL PHYSICS journal 182103 6% 10% 83
7 MODULAR THEORY authKW 169107 1% 54% 14
8 CONFORMAL NETS authKW 157040 1% 100% 7
9 HADAMARD STATES authKW 157040 1% 100% 7
10 SUPERSELECTION SECTORS authKW 157040 1% 100% 7

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Physics, Mathematical 36635 46% 0% 622
2 Mathematics 9635 37% 0% 501
3 Physics, Particles & Fields 1850 13% 0% 175
4 Physics, Multidisciplinary 1608 17% 0% 232
5 Astronomy & Astrophysics 201 6% 0% 88
6 Mathematics, Applied 72 4% 0% 58
7 History & Philosophy of Science 67 1% 0% 12
8 Physics, Nuclear 32 2% 0% 31
9 Statistics & Probability -2 0% 0% 4
10 Multidisciplinary Sciences -2 0% 0% 1

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 UNITA LOCALE TRENTO 137408 1% 88% 7
2 COURANT HIGHER ORDER STRUCT MATH 84450 1% 47% 8
3 HGRP MATH 54955 1% 35% 7
4 DIPARTIMENTO MATEMAT 29975 10% 1% 136
5 THEORET PHYS 2 24173 4% 2% 52
6 BLOOMINGTON MATH 22434 0% 100% 1
7 F MATH PHYS 22434 0% 100% 1
8 F SEVERI UNIT LOCALE TRENTO 22434 0% 100% 1
9 FRUMAM FEDERAT RECH 2291 22434 0% 100% 1
10 INAT PURE PL MATH 22434 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 COMMUNICATIONS IN MATHEMATICAL PHYSICS 189638 19% 3% 262
2 REVIEWS IN MATHEMATICAL PHYSICS 182103 6% 10% 83
3 ANNALES HENRI POINCARE 50019 3% 5% 47
4 LETTERS IN MATHEMATICAL PHYSICS 45066 6% 3% 80
5 INTERNATIONAL JOURNAL OF MATHEMATICS 32788 4% 3% 48
6 JOURNAL OF FUNCTIONAL ANALYSIS 17347 5% 1% 71
7 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 12062 2% 2% 26
8 ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE 10993 1% 3% 17
9 JOURNAL OF OPERATOR THEORY 9248 2% 2% 23
10 JOURNAL OF MATHEMATICAL PHYSICS 9145 6% 1% 81

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 SUBFACTORS 1566494 7% 78% 90 Search SUBFACTORS Search SUBFACTORS
2 PLANAR ALGEBRAS 682435 3% 78% 39 Search PLANAR+ALGEBRAS Search PLANAR+ALGEBRAS
3 ALGEBRAIC QUANTUM FIELD THEORY 223555 1% 59% 17 Search ALGEBRAIC+QUANTUM+FIELD+THEORY Search ALGEBRAIC+QUANTUM+FIELD+THEORY
4 JONES INDEX 190025 1% 71% 12 Search JONES+INDEX Search JONES+INDEX
5 MODULAR THEORY 169107 1% 54% 14 Search MODULAR+THEORY Search MODULAR+THEORY
6 CONFORMAL NETS 157040 1% 100% 7 Search CONFORMAL+NETS Search CONFORMAL+NETS
7 HADAMARD STATES 157040 1% 100% 7 Search HADAMARD+STATES Search HADAMARD+STATES
8 SUPERSELECTION SECTORS 157040 1% 100% 7 Search SUPERSELECTION+SECTORS Search SUPERSELECTION+SECTORS
9 MODULAR LOCALIZATION 134606 0% 100% 6 Search MODULAR+LOCALIZATION Search MODULAR+LOCALIZATION
10 STANDARD INVARIANT 115375 0% 86% 6 Search STANDARD+INVARIANT Search STANDARD+INVARIANT

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 BENINI, M , DAPPIAGGI, C , HACK, TP , (2013) QUANTUM FIELD THEORY ON CURVED BACKGROUNDS - A PRIMER.INTERNATIONAL JOURNAL OF MODERN PHYSICS A. VOL. 28. ISSUE 17. P. - 59 87% 5
2 KAWAHIGASHI, Y , (2015) CONFORMAL FIELD THEORY, TENSOR CATEGORIES AND OPERATOR ALGEBRAS.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 48. ISSUE 30. P. - 66 66% 1
3 BISCHOFF, M , (2017) GENERALIZED ORBIFOLD CONSTRUCTION FOR CONFORMAL NETS.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 29. ISSUE 1. P. - 50 76% 0
4 BORCHERS, HJ , (2000) ON REVOLUTIONIZING QUANTUM FIELD THEORY WITH TOMITA'S MODULAR THEORY.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 41. ISSUE 6. P. 3604 -3673 54 93% 57
5 GROSSMAN, P , IZUMI, M , (2008) CLASSIFICATION OF NONCOMMUTING QUADRILATERALS OF FACTORS.INTERNATIONAL JOURNAL OF MATHEMATICS. VOL. 19. ISSUE 5. P. 557-643 40 100% 2
6 CARPI, S , CONTI, R , HILLIER, R , WEINER, M , (2013) REPRESENTATIONS OF CONFORMAL NETS, UNIVERSAL C*-ALGEBRAS AND K-THEORY.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 320. ISSUE 1. P. 275 -300 36 95% 3
7 KAWAHIGASHI, Y , LONGO, R , (2004) CLASSIFICATION OF LOCAL CONFORMAL NETS. CASE C < 1.ANNALS OF MATHEMATICS. VOL. 160. ISSUE 2. P. 493-522 45 88% 54
8 FREDENHAGEN, K , REJZNER, K , (2016) QUANTUM FIELD THEORY ON CURVED SPACETIMES: AXIOMATIC FRAMEWORK AND EXAMPLES.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 57. ISSUE 3. P. - 32 84% 2
9 LECHNER, G , LONGO, R , (2015) LOCALIZATION IN NETS OF STANDARD SPACES.COMMUNICATIONS IN MATHEMATICAL PHYSICS. VOL. 336. ISSUE 1. P. 27 -61 30 97% 1
10 BISCHOFF, M , (2016) A REMARK ON CFT REALIZATION OF QUANTUM DOUBLES OF SUBFACTORS: CASE INDEX < 4.LETTERS IN MATHEMATICAL PHYSICS. VOL. 106. ISSUE 3. P. 341 -363 36 80% 0

Classes with closest relation at Level 1


Rank Class id link
1 28937 BRANCHING SPACE TIMES//COMMON CAUSE//REICHENBACHIAN COMMON CAUSE
2 29733 PHYS NUCL ENGN HORIA HULUBEI//KS RCO MT CR//CANONICAL QUANTIZATION OF GAUGE THEORIES
3 23652 ALPHA COMPLETELY POSITIVE MAP//J REPRESENTATION//WICK POWERS
4 25973 BAR CATEGORIES//BIO OURCES MATHHIGASHI KU//BOGOLUBOV GENERATING FUNCTIONAL
5 10367 COMPACT QUANTUM GROUP//LOCALLY COMPACT QUANTUM GROUP//QUANTUM GROUPS
6 10040 PROPERTY T//DEFORMATION RIGIDITY THEORY//GRAPH GROUPOIDS
7 13959 E 0 SEMIGROUPS//QUANTUM MARKOV SEMIGROUP//PRODUCT SYSTEMS
8 26619 CAUSAL BOHMIAN QUANTUM GRAVITY//EQUIPE PHYS THEOR PROJET COMPASPE//IFAE FIS TEOR GRP
9 34417 GAUGE ORBIT SPACE//NONGENERIC STRATA//ORBIT TYPES
10 2226 CONFORMAL FIELD MODELS IN STRING THEORY//CONFORMAL FIELD THEORY//D BRANES

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