Yvan Saint-Aubin

Fusion hierarchies, T-systems and Y-systems for the dilute loop models on a strip

#1

Florence Boileau
(
- Montreal U.
)
,
Alexi Morin-Duchesne
(
- Gent U. and
- Sofiya, Inst. Nucl. Res. and
- Montreal U., DMS
)
,
Yvan Saint-Aubin
(
- Montreal U., DMS
)

(Nov 16, 2022)

Published in:
- J.Stat.Mech. 2303 (2023) 033102
•
e-Print:
- 2211.09017 [math-ph]

DOI

reference search1 citation

Spin Chains as Modules over the Affine Temperley–Lieb Algebra

#2

Théo Pinet
(
- Montreal U., DMS and
- Paris U., VI-VII, Inst. Math.
)
,
Yvan Saint-Aubin
(
- Montreal U., DMS
)

(May 5, 2022)

Published in:
- Algebr.Represent.Theory 26 (2023) 6, 2523-2584
•
e-Print:
- 2205.02649 [math.RT]

pdfDOI

reference search2 citations

The representation theory of seam algebras

#3

(Sep 8, 2019)

Published in:
- SciPost Phys. 8 (2020) 019
•
e-Print:
- 1909.03499 [math-ph]

DOI

reference search2 citations

On the computation of fusion over the affine Temperley–Lieb algebra

#4

Jonathan Belletête
(
- Montreal U., CRM and
- IPhT, Saclay
)
,
Yvan Saint-Aubin
(
- Montreal U., DMS
)

(Feb 10, 2018)

Published in:
- Nucl.Phys.B 937 (2018) 333-370
•
e-Print:
- 1802.03575 [math-ph]

DOI

reference search8 citations

On the reality of spectra of

\boldsymbol{U_q(sl_2)}

-invariant XXZ Hamiltonians

#5

(Feb 6, 2015)

Published in:
- J.Stat.Mech. 1605 (2016) 5, 053105
•
e-Print:
- 1502.01859 [math-ph]

pdfDOI

reference search12 citations

The Idempotents of the TL

_{n}

-Module

{\otimes{n}\mathbb{C}2}

in Terms of Elements of

{{\rm U}_{q} \mathfrak{sl}_2}

#6

(Dec 11, 2013)

Published in:
- Annales Henri Poincare 15 (2014) 11, 2203-2240

DOI

reference search0 citations

The principal indecomposable modules of the dilute Temperley-Lieb algebra

#7

Jonathan Belletête
(
- Montreal U.
)
,
Yvan Saint-Aubin
(
- Montreal U., DMS
)

(Oct 17, 2013)

Published in:
- J.Math.Phys. 55 (2014) 111706
•
e-Print:
- 1310.4791 [math-ph]

pdfDOI

reference search12 citations

Jordan cells of periodic loop models

#8

(Feb 21, 2013)

Published in:
- J.Phys.A 46 (2013) 494013
•
e-Print:
- 1302.5483 [math-ph]

pdfDOI

reference search12 citations

Standard modules, induction and the structure of the Temperley-Lieb algebra

#9

(Apr, 2012)

Published in:
- Adv.Theor.Math.Phys. 18 (2014) 5, 957-1041
•
e-Print:
- 1204.4505 [math-ph]

pdfDOI

reference search47 citations

A homomorphism between link and XXZ modules over the periodic Temperley–Lieb algebra

#10

Alexi Morin-Duchesne
(
- Queensland U.
)
,
Yvan Saint-Aubin
(
- Montreal U.
)

(Mar 22, 2012)

Published in:
- J.Phys.A 46 (2013) 285207
•
e-Print:
- 1203.4996 [math-ph]

pdfDOI

reference search12 citations

Geometric Exponents of Dilute Logarithmic Minimal Models

#11

Guillaume Provencher
(
- Montreal U.
)
,
Yvan Saint-Aubin
(
- Montreal U., DMS
)
,
Paul A. Pearce
(
- Melbourne U.
)
,
Jorgen Rasmussen
(
- Melbourne U.
)

(Sep, 2011)

e-Print:
- 1109.0653 [cond-mat.stat-mech]

pdf

reference search4 citations

The Jordan Structure of Two Dimensional Loop Models

#12

(Jan, 2011)

Published in:
- J.Stat.Mech. 1104 (2011) P04007
•
e-Print:
- 1101.2885 [math-ph]

pdfDOI

reference search28 citations

Critical exponents for the homology of Fortuin-Kasteleyn clusters on a torus

#13

(Jan, 2009)

Published in:
- Phys.Rev.E 80 (2009) 021130
•
e-Print:
- 0812.2925 [cond-mat.stat-mech]

pdfDOI

reference search4 citations

Geometric Exponents, SLE and Logarithmic Minimal Models

#14

Yvan Saint-Aubin
(
- Montreal U., CRM
)
,
Paul A. Pearce
(
- Melbourne U.
)
,
Jorgen Rasmussen
(
- Melbourne U.
)

(Sep, 2008)

Published in:
- J.Stat.Mech. 0902 (2009) P02028
•
e-Print:
- 0809.4806 [cond-mat.stat-mech]

pdfDOI

reference search16 citations

Theoretical physics at the end of the twentieth century. Proceedings, Summer School, Banff, Canada, June 27-July 10, 1999

#15

Y. Saint-Aubin(ed.)
,
L. Vinet(ed.)

(2002)

Proceedings of:
- 9th CRM Summer School: Theoretical Physics at the End of the 20th Century

reference search0 citations

Nonunitary observables in the 2-D critical Ising model

#16

(Sep, 2001)

Published in:
- Phys.Lett.B 541 (2002) 384-389
•
e-Print:
- hep-th/0109138 [hep-th]

pdfDOI

reference search10 citations

Crossing probabilities on same spin clusters in the two-dimensional Ising model

#17

Ervig Lapalme
(
- Montreal U., CRM
)
,
Yvan Saint-Aubin
(
- Montreal U., CRM and
- Montreal U., DMS
)

(May, 2000)

Published in:
- J.Phys.A 34 (2001) 1825-1836
•
e-Print:
- hep-th/0005104 [hep-th]

pdfDOI

reference search9 citations

Boundary states for a free boson defined on finite geometries

#18

Marc-Andre Lewis
(
- Montreal U., CRM and
- Paris U., VI-VII
)
,
Yvan Saint-Aubin
(
- Montreal U., CRM and
- Montreal U., DMS
)

(Feb, 2000)

Published in:
- J.Phys.A 34 (2001) 845-860
•
e-Print:
- hep-th/0002124 [hep-th]

pdfDOI

reference search0 citations

Universality and conformal invariance for the Ising model in domains with boundary

#19

Robert P. Langlands
(
- Princeton, Inst. Advanced Study
)
,
Marc-Andre Lewis
(
- Montreal U., CRM and
- Paris U., VI-VII
)
,
Yvan Saint-Aubin
(
- Montreal U., CRM
)

(Apr, 1999)

e-Print:
- hep-th/9904088 [hep-th]

pdf

reference search5 citations

On the twisted principal gradation of quantum affine algebras

#20

H. Aurag
(
- Montreal U., CRM
)
,
A.H. Bougourzi
(
- SUNY, Stony Brook
)
,
Y. Saint-Aubin
(
- Montreal U., CRM
)

(Feb 6, 1996)

reference search0 citations

Fusion and the Neveu-Schwarz singular vectors

#21

L. Benoit
(
- Montreal U.
)
,
Y. Saint-Aubin
(
- Montreal U.
)

(1994)

Published in:
- Int.J.Mod.Phys.A 9 (1994) 547-566
•
e-Print:
- hep-th/9211018 [hep-th]

pdfDOI

reference search5 citations

Conformal invariance in two-dimensional percolation

#22

(Jan, 1994)

Published in:
- Bull.Am.Math.Soc. 30 (1994) 1-61
•
e-Print:
- math/9401222 [math-ph]

pdfDOI

reference search52 citations

An Explicit formula for some singular vectors of the Neveu-Schwarz algebra

#23

L. Benoit
(
- Montreal U.
)
,
Y. Saint- Aubin
(
- Montreal U.
)

(1992)

Published in:
- Int.J.Mod.Phys.A 7 (1992) 3023-3033

DOI

reference search16 citations

Singular vectors of the Neveu-Schwarz algebra

#24

L. Benoit
(
- Montreal U.
)
,
Y. Saint- Aubin
(
- Montreal U.
)

(1991)

Published in:
- Lett.Math.Phys. 23 (1991) 117-120

DOI

reference search18 citations

EXCHANGE ALGEBRA FOR ZAMOLODCHIKOV AND FATEEV'S PARAFERMIONIC THEORIES

#25

Luc Boivin
(
- Montreal U., CRM
)
,
Yvan Saint-Aubin
(
- Montreal U., CRM
)

(Mar, 1990)

Published in:
- J.Phys.A 24 (1991) 3895-3906

links

reference search0 citations

Yvan Saint-Aubin(
Montreal U., CRM and
Montreal U., DMS
)

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Yvan Saint-Aubin(Montreal U., CRM and Montreal U., DMS)

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Yvan Saint-Aubin(
Montreal U., CRM and
Montreal U., DMS
)