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On the Extended W-Algebra of Type 𝔰𝔩2 at Positive Rational Level

Akihiro Tsuchiya
(
- Tokyo U., IPMU
)
,
Simon Wood
(
- Tokyo U., IPMU
)

(Feb 26, 2013)

Published in:
- Int.Math.Res.Not. 2015 (2015) 14, 5357-5435
•
e-Print:
- 1302.6435 [math.QA]

pdfDOI

reference search20 citations

Lattice W-algebras and logarithmic CFTs

A.M. Gainutdinov
(
- Saclay, SPhT
)
,
H. Saleur
(
- Southern California U. and
- Saclay, SPhT
)
,
I.Yu. Tipunin
(
- Lebedev Inst.
)

(Dec, 2012)

Published in:
- J.Phys.A 47 (2014) 49, 495401
•
e-Print:
- 1212.1378 [hep-th]

pdfDOI

reference search23 citations

Partition functions, mapping class groups and Drinfeld doubles

Jens Fjelstad
(
- Nanjing U.
)
,
Jurgen Fuchs
(
- Karlstad U.
)
,
Christoph Schweigert
(
- Hamburg U., Dept. Math.
)
,
Carl Stigner
(
- Karlstad U.
)

(Dec, 2012)

Contribution to:
- GROUP 29
•
e-Print:
- 1212.6916 [hep-th]

pdf

reference search3 citations

Integrable perturbations of conformal field theories and Yetter-Drinfeld modules

(Nov, 2012)

Published in:
- J.Math.Phys. 55 (2014) 111705
•
e-Print:
- 1211.4726 [math.QA]

pdfDOI

reference search6 citations

Associative algebraic approach to logarithmic CFT in the bulk: the continuum limit of the

{\mathfrak{gl}(1|1)}

periodic spin chain, Howe duality and the interchiral algebra

A.M. Gainutdinov
(
- DESY and
- Tours U.
)
,
N. Read
(
- Yale U.
)
,
H. Saleur
(
- Saclay, SPhT and
- Southern California U.
)

(Jul, 2012)

Published in:
- Commun.Math.Phys. 341 (2016) 1, 35-103
•
e-Print:
- 1207.6334 [hep-th]

pdfDOI

reference search35 citations

Higher genus mapping class group invariants from factorizable Hopf algebras

Jurgen Fuchs
(
- Karlstad U.
)
,
Christoph Schweigert
(
- Hamburg U., Dept. Math.
)
,
Carl Stigner
(
- Karlstad U.
)

(Jul, 2012)

Published in:
- Adv.Math. 250 (2014) 285-319
•
e-Print:
- 1207.6863 [math.QA]

pdfDOI

reference search20 citations

Modular Data and Verlinde Formulae for Fractional Level WZW Models I

(May, 2012)

Published in:
- Nucl.Phys.B 865 (2012) 83-114
•
e-Print:
- 1205.6513 [hep-th]

pdfDOI

reference search86 citations

Lattice fusion rules and logarithmic operator product expansions

A.M. Gainutdinov
(
- Saclay, SPhT
)
,
R. Vasseur
(
- Saclay, SPhT and
- Ecole Normale Superieure
)

(Mar, 2012)

Published in:
- Nucl.Phys.B 868 (2013) 223-270
•
e-Print:
- 1203.6289 [hep-th]

pdfDOI

reference search48 citations

An explicit realization of logarithmic modules for the vertex operator algebra

W_{p,p'}

(Feb, 2012)

Published in:
- J.Math.Phys. 53 (2012) 073511
•
e-Print:
- 1202.6667 [math.QA]

pdfDOI

reference search8 citations

The tensor structure on the representation category of the

W_{p}

triplet algebra

#10

Akihiro Tsuchiya
(
- Tokyo U., IPMU
)
,
Simon Wood
(
- Tokyo U., IPMU
)

(Jan, 2012)

Published in:
- J.Phys.A 46 (2013) 445203
•
e-Print:
- 1201.0419 [hep-th]

pdfDOI

reference search71 citations

Logarithmic bulk and boundary conformal field theory and the full centre construction

#11

Ingo Runkel
(
- Hamburg U., Dept. Math.
)
,
Matthias R. Gaberdiel
(
- Zurich, ETH
)
,
Simon Wood
(
- Tokyo U., IPMU
)

(Jan, 2012)

e-Print:
- 1201.6273 [hep-th]

pdfDOI

reference search18 citations

The Puzzle of bulk conformal field theories at central charge c=0

#12

Romain Vasseur
(
- Saclay, SPhT and
- Ecole Normale Superieure and
- Poincare Inst.
)
,
Azat M. Gainutdinov
(
- Saclay, SPhT and
- Poincare Inst.
)
,
Jesper Lykke Jacobsen
(
- Ecole Normale Superieure and
- Paris U., VI-VII and
- Poincare Inst.
)
,
Hubert Saleur
(
- Saclay, SPhT and
- Southern California U. and
- Poincare Inst.
)

(Oct, 2011)

Published in:
- Phys.Rev.Lett. 108 (2012) 161602
•
e-Print:
- 1110.1327 [math-ph]

pdfDOI

reference search37 citations

Logarithmic tensor category theory, VII: Convergence and extension properties and applications to expansion for intertwining maps

#13

Yi-Zhi Huang
(
- Rutgers U., Piscataway and
- Peking U.
)
,
James Lepowsky
(
- Rutgers U., Piscataway
)
,
Lin Zhang
(
- Rutgers U., Piscataway
)

(Oct, 2011)

e-Print:
- 1110.1929 [math.QA]

pdf

reference search94 citations

Logarithmic tensor category theory, VIII: Braided tensor category structure on categories of generalized modules for a conformal vertex algebra

#14

Yi-Zhi Huang
(
- Rutgers U., Piscataway and
- Peking U.
)
,
James Lepowsky
(
- Rutgers U., Piscataway
)
,
Lin Zhang
(
- Rutgers U., Piscataway
)

(Oct, 2011)

e-Print:
- 1110.1931 [math.QA]

pdf

reference search100 citations

Virasoro central charges for Nichols algebras

#15

A.M. Semikhatov
(
- Unlisted
)

(Sep 8, 2011)

e-Print:
- 1109.1767 [math.QA]

pdf

reference search10 citations

Fusion in the entwined category of Yetter--Drinfeld modules of a rank-1 Nichols algebra

#16

A.M. Semikhatov
(
- Lebedev Inst.
)

(Sep, 2011)

Published in:
- Theor.Math.Phys. 173 (2012) 1329-1358
•
e-Print:
- 1109.5919 [math.QA]

pdfDOI

reference search5 citations

Relating the Archetypes of Logarithmic Conformal Field Theory

#17

(Jul, 2011)

Published in:
- Nucl.Phys.B 872 (2013) 348-391
•
e-Print:
- 1107.2135 [hep-th]

pdfDOI

reference search70 citations

Modular invariant Frobenius algebras from ribbon Hopf algebra automorphisms

#18

Jurgen Fuchs
(
- Karlstad U.
)
,
Christoph Schweigert
(
- Hamburg U., Dept. Math.
)
,
Carl Stigner
(
- Karlstad U.
)

(Jun, 2011)

Published in:
- J.Algebra 363 (2012) 29-72
•
e-Print:
- 1106.0210 [math.QA]

pdfDOI

reference search20 citations

Kazhdan-Lusztig equivalence and fusion of Kac modules in Virasoro logarithmic models

#19

(Feb, 2011)

Published in:
- Nucl.Phys.B 862 (2012) 232-269
•
e-Print:
- 1102.0271 [hep-th]

pdfDOI

reference search22 citations

On W-algebra extensions of (2,p) minimal models: p > 3

#20

Drazen Adamovic
(
- Zagreb U.
)
,
Antun Milas
(
- SUNY, Albany
)

(Jan, 2011)

e-Print:
- 1101.0803 [math.QA]

pdf

reference search6 citations

The Nichols algebra of screenings

#21

A.M. Semikhatov
(
- Lebedev Inst.
)
,
I.Yu. Tipunin
(
- Lebedev Inst.
)

(Jan, 2011)

Published in:
- Commun.Contemp.Math. 14 (2012) 04, 1250029
•
e-Print:
- 1101.5810 [math.QA]

pdfDOI

reference search20 citations

Fusion in Fractional Level

\widehat{sl}

(2)-Theories with

k

= - ^1_\overline{2}

#22

David Ridout
(
- Australian Natl. U., Canberra
)

(Dec, 2010)

Published in:
- Nucl.Phys.B 848 (2011) 216-250
•
e-Print:
- 1012.2905 [hep-th]

pdfDOI

reference search49 citations

Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms

#23

Yi-Zhi Huang
(
- Rutgers U., Piscataway and
- Peking U.
)
,
James Lepowsky
(
- Rutgers U., Piscataway
)
,
Lin Zhang
(
- Rutgers U., Piscataway
)

(Dec, 2010)

e-Print:
- 1012.4202 [math.QA]

pdf

reference search98 citations

Logarithmic tensor category theory, V: Convergence condition for intertwining maps and the corresponding compatibility condition

#24

Yi-Zhi Huang
(
- Rutgers U., Piscataway and
- Peking U.
)
,
James Lepowsky
(
- Rutgers U., Piscataway
)
,
Lin Zhang
(
- Rutgers U., Piscataway
)

(Dec, 2010)

e-Print:
- 1012.4199 [math.QA]

pdf

reference search98 citations

Logarithmic tensor category theory, IV: Constructions of tensor product bifunctors and the compatibility conditions

#25

Yi-Zhi Huang
(
- Rutgers U., Piscataway and
- Peking U.
)
,
James Lepowsky
(
- Rutgers U., Piscataway
)
,
Lin Zhang
(
- Rutgers U., Piscataway
)

(Dec, 2010)

e-Print:
- 1012.4198 [math.QA]

pdf

reference search94 citations

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