Results 21 to 30 of about 44,922 (166)
New insights into superintegrability from unitary matrix models
Physics Letters B, 2022 Some eigenvalue matrix models possess an interesting property: one can manifestly define the basis where all averages can be explicitly calculated. For example, in the Gaussian Hermitian and rectangular complex models, averages of the Schur functions are
A. Mironov, A. Morozov, Z. Zakirova
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Noncommutative Symmetric Hall-Littlewood Polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Noncommutative symmetric functions have many properties analogous to those of classical (commutative) symmetric functions. For instance, ribbon Schur functions (analogs of the classical Schur basis) expand positively in noncommutative monomial basis ...
Lenny Tevlin
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Journal of High Energy Physics, 2019 We compute general expressions for two types of three-point functions of (semi-)short multiplets in four-dimensional N = 2 $$ \mathcal{N}=2 $$ superconformal field theories.
Kazuki Kiyoshige, Takahiro Nishinaka
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A Littlewood-Richardson type rule for row-strict quasisymmetric Schur functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 We establish several properties of an algorithm defined by Mason and Remmel (2010) which inserts a positive integer into a row-strict composition tableau.
Jeffrey Ferreira
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Correlation Functions of the Pfaffian Schur Process Using Macdonald Difference Operators [PDF]
, 2019 We study the correlation functions of the Pfaffian Schur process. Borodin and Rains [J. Stat. Phys. 121 (2005), 291-317] introduced the Pfaffian Schur process and derived its correlation functions using a Pfaffian analogue of the Eynard-Mehta theorem. We
Ghosal, Promit
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Vertex algebra of extended operators in 4d N=2 superconformal field theories. Part I
Journal of High Energy Physics, 2023 We construct a class of extended operators in the cohomology of a pair of twisted Schur supercharges of 4d N $$ \mathcal{N} $$ =2 SCFTs. The extended operators are constructed from the local operators in this cohomology — the Schur operators — by a ...
Philip C. Argyres +2 more
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The ABC's of affine Grassmannians and Hall-Littlewood polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We give a new description of the Pieri rule for $k$-Schur functions using the Bruhat order on the affine type-$A$ Weyl group. In doing so, we prove a new combinatorial formula for representatives of the Schubert classes for the cohomology of affine ...
Avinash J. Dalal, Jennifer Morse
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Schur-Convexity of Two Types of One-Parameter Mean Values in n Variables
Journal of Inequalities and Applications, 2007 We establish Schur-convexities of two types of one-parameter mean values in n variables. As applications, Schur-convexities of some well-known functions involving the complete elementary symmetric functions are obtained.
Xiao-Ming Zhang +2 more
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Quasisymmetric Schur functions and modules of the $0$-Hecke algebra [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 We define a $0$-Hecke action on composition tableaux, and then use it to derive $0$-Hecke modules whose quasisymmetric characteristic is a quasisymmetric Schur function.
Vasu Tewari, Stephanie van Willigenburg
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Comultiplication rules for the double Schur functions and Cauchy identities [PDF]
, 2010 The double Schur functions form a distinguished basis of the ring \Lambda(x||a) which is a multiparameter generalization of the ring of symmetric functions \Lambda(x). The canonical comultiplication on \Lambda(x) is extended to \Lambda(x||a) in a natural
Molev, A. I.
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