Fredholm Pfaffian $$\tau $$ τ -Functions for Orthogonal Isospectral and Isomonodromic Systems

[1]  Fabrizio Del Monte,et al.  Isomonodromic Tau Functions on a Torus as Fredholm Determinants, and Charged Partitions , 2020, Communications in Mathematical Physics.

[2]  G. Bonelli,et al.  Counting Yang-Mills Instantons by Surface Operator Renormalization Group Flow. , 2021, Physical review letters.

[3]  Johan van de Leur,et al.  BKP tau-functions as square roots of KP tau-functions , 2021, 2103.16290.

[4]  John Harnad,et al.  Tau Functions and their Applications , 2021 .

[5]  A. Orlov,et al.  Bilinear expansions of lattices of KP τ-functions in BKP τ-functions: A fermionic approach , 2021 .

[6]  J. Harnad,et al.  Polynomial KP and BKP $$\tau $$-Functions and Correlators , 2020, Annales Henri Poincaré.

[7]  J. Harnad,et al.  Isotropic Grassmannians, Plücker and Cartan maps , 2020, 2007.03586.

[8]  V. Kac,et al.  Polynomial tau-functions of the KP, BKP, and the s-component KP hierarchies , 2020, 2005.02665.

[9]  V. Kac,et al.  Polynomial tau-functions of BKP and DKP hierarchies , 2018, Journal of Mathematical Physics.

[10]  O. Lisovyy,et al.  Higher-rank isomonodromic deformations and W-algebras , 2018, Letters in Mathematical Physics.

[11]  Chao-Zhong Wu,et al.  Borodin–Okounkov formula, string equation and topological solutions of Drinfeld–Sokolov hierarchies , 2015, Letters in Mathematical Physics.

[12]  V. Kac,et al.  Equivalence of formulations of the MKP hierarchy and its polynomial tau-functions , 2018, Japanese Journal of Mathematics.

[13]  O. Lisovyy,et al.  Tau Functions as Widom Constants , 2017, Communications in Mathematical Physics.

[14]  O. Lisovyy,et al.  Pure 𝑆𝑈(2) gauge theory partition function and generalized Bessel kernel , 2017, Proceedings of Symposia in Pure Mathematics.

[15]  P. Gavrylenko,et al.  Twist-field representations of W-algebras, exact conformal blocks and character identities , 2017, Journal of High Energy Physics.

[16]  O. Lisovyy,et al.  Fredholm Determinant and Nekrasov Sum Representations of Isomonodromic Tau Functions , 2016, 1608.00958.

[17]  P. Gavrylenko,et al.  Free fermions, W-algebras, and isomonodromic deformations , 2016, 1605.04554.

[18]  Chao-Zhong Wu,et al.  Tau Functions and the Limit of Block Toeplitz Determinants , 2014, 1404.5149.

[19]  Y. Ruan,et al.  BCFG Drinfeld–Sokolov hierarchies and FJRW-theory , 2013, 1312.7227.

[20]  A. Francis,et al.  Witten’s D4 integrable hierarchies conjecture , 2010, 1008.0927.

[21]  S. Shadrin,et al.  Givental symmetries of Frobenius manifolds and multi-component KP tau-functions , 2009, 0905.0795.

[22]  E. Rains.  Correlation functions for symmetrized increasing subsequences , 2000, math/0006097.

[23]  M. Reid,et al.  Solitons : differential equations, symmetries and infinite dimensional algebras , 2000 .

[24]  I. G. MacDonald,et al.  Symmetric Functions and Orthogonal Polynomials , 1998 .

[25]  A. Jaffe,et al.  Pfaffians on Hilbert space , 1989 .

[26]  V. V. Sokolov,et al.  Lie algebras and equations of Korteweg-de Vries type , 1985 .

[27]  M. Jimbo,et al.  Solitons and Infinite Dimensional Lie Algebras , 1983 .

[28]  Mikio Sato.  Soliton Equations as Dynamical Systems on Infinite Dimensional Grassmann Manifold , 1983 .

[29]  I. G. MacDonald,et al.  Symmetric functions and Hall polynomials , 1979 .

[30]  M. Jimbo,et al.  Studies on holonomic quantum fields, VIII , 1978 .

[31]  佐藤 幹夫,et al.  Studies on Holonomic Quantum Fields I (超函数と線型微分方程式 V) , 1977 .

[32]  I. Stewart,et al.  Infinite-dimensional Lie algebras , 1974 .

[33]  Polynomial KP and BKP τ -Functions and Correlators , 2022 .