Zobrazeno 1 - 10
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pro vyhledávání: '"Flores, Steven"'
Autor:
Flores, Steven M., Peltola, Eveliina
It is well-known that the commutant algebra of the $U_q(\mathfrak{sl}_2)$-action on the $n$-fold tensor product of its fundamental module is isomorphic to the Temperley-Lieb algebra TL$_n(\nu)$ with fugacity parameter $\nu = -q - q^{-1}$ (at least in
Externí odkaz:
http://arxiv.org/abs/2008.06038
Autor:
Flores, Steven M., Peltola, Eveliina
We investigate a subalgebra of the Temperley-Lieb algebra called the Jones-Wenzl algebra, which is obtained by action of certain Jones-Wenzl projectors. This algebra arises naturally in applications to conformal field theory and statistical physics.
Externí odkaz:
http://arxiv.org/abs/1811.12364
Autor:
Flores, Steven M., Peltola, Eveliina
This article concerns a generalization of the Temperley-Lieb algebra, important in applications to conformal field theory. We call this algebra the valenced Temperley-Lieb algebra. We prove salient facts concerning this algebra and its representation
Externí odkaz:
http://arxiv.org/abs/1801.10003
Publikováno v:
J. Phys. A: Math. Th. 50, 064005 (2017)
In this article, we generalize known formulas for crossing probabilities. Prior crossing results date back to J. Cardy's prediction of a formula for the probability that a percolation cluster in two dimensions connects the left and right sides of a r
Externí odkaz:
http://arxiv.org/abs/1608.00170
In a previous article, we define "connectivity weights" to be functions with these two properties: 1) They solve the three conformal Ward identities of conformal field theory (CFT) and a system of $2N$ null-state differential equations governing a CF
Externí odkaz:
http://arxiv.org/abs/1505.07756
Publikováno v:
J. Phys. A: Math. Theor. 48 (2015) 025001
In a recent article, one of the authors used $c=0$ logarithmic conformal field theory to predict crossing-probability formulas for percolation clusters inside a hexagon with free boundary conditions. In this article, we verify these predictions with
Externí odkaz:
http://arxiv.org/abs/1407.8163
Autor:
Flores, Steven M., Kleban, Peter
Publikováno v:
Commun. Math. Phys., January 2015, Volume 333, Issue 2, pp 669-715
This article is the last of four that completely characterize a solution space $\mathcal{S}_N$ for a homogeneous system of $2N+3$ linear partial differential equations (PDEs) in $2N$ variables that arises in conformal field theory (CFT) and multiple
Externí odkaz:
http://arxiv.org/abs/1405.2747
Autor:
Flores, Steven M., Kleban, Peter
Publikováno v:
Commun. Math. Phys., January 2015, Volume 333, Issue 1, pp 435-481
This article is the second of four that completely characterize a solution space $\mathcal{S}_N$ for a homogeneous system of $2N+3$ linear partial differential equations (PDEs) in 2N variables that arises in conformal field theory (CFT) and multiple
Externí odkaz:
http://arxiv.org/abs/1404.0035
Autor:
Flores, Steven M., Kleban, Peter
Publikováno v:
Commun. Math. Phys., January 2015, Volume 333, Issue 2, pp 597-667
This article is the third of four that completely characterize a solution space $\mathcal{S}_N$ for a homogeneous system of $2N+3$ linear partial differential equations (PDEs) in $2N$ variables that arises in conformal field theory (CFT) and multiple
Externí odkaz:
http://arxiv.org/abs/1303.7182
Autor:
Flores, Steven M., Kleban, Peter
Publikováno v:
Commun. Math. Phys., January 2015, Vol. 333, Issue 1, pp 389-434
In this first of four articles, we study a homogeneous system of $2N+3$ linear partial differential equations (PDEs) in $2N$ variables that arises in conformal field theory (CFT) and multiple Schramm-Lowner evolution (SLE). In CFT, these are null-sta
Externí odkaz:
http://arxiv.org/abs/1212.2301