Essays on the theory of elliptic hypergeometric functions
VP Spiridonov - Russian Mathematical Surveys, 2008 - iopscience.iop.org
This is a brief survey of the main results of the theory of elliptic hypergeometric functions--a
new class of special functions of mathematical physics. A proof is given of the most general …
new class of special functions of mathematical physics. A proof is given of the most general …
Discrete quantum mechanics
S Odake, R Sasaki - Journal of Physics A: Mathematical and …, 2011 - iopscience.iop.org
A comprehensive review of the discrete quantum mechanics with the pure imaginary shifts
and the real shifts is presented in parallel with the corresponding results in the ordinary …
and the real shifts is presented in parallel with the corresponding results in the ordinary …
E‐string theory on Riemann surfaces
We study compactifications of the 6d E‐string theory, the theory of a small E8 instanton, to
four dimensions. In particular we identify N= 1 field theories in four dimensions …
four dimensions. In particular we identify N= 1 field theories in four dimensions …
[HTML][HTML] Integrability of conformal blocks. Part I. Calogero-Sutherland scattering theory
M Isachenkov, V Schomerus - Journal of High Energy Physics, 2018 - Springer
A bstract Conformal blocks are the central ingredient of the conformal bootstrap programme.
We elaborate on our recent observation that uncovered a relation with wave functions of an …
We elaborate on our recent observation that uncovered a relation with wave functions of an …
Systems of calogero-moser type
SNM Ruijsenaars - Particles and fields, 1999 - Springer
We survey results on Galilei-and Poincaré-invariant CalogeroMoser and Toda N-particle
systems, both in the context of classical mechanics and of quantum mechanics. Special …
systems, both in the context of classical mechanics and of quantum mechanics. Special …
Degenerate Riemann theta functions, Fredholm and wronskian representations of the solutions to the KdV equation and the degenerate rational case
P Gaillard - Journal of Geometry and Physics, 2021 - Elsevier
We degenerate the finite gap solutions of the KdV equation from the general formulation
given in terms of abelian functions when the gaps tend to points, to get solutions to the KdV …
given in terms of abelian functions when the gaps tend to points, to get solutions to the KdV …
SQCD and pairs of pants
SS Razamat, E Sabag - Journal of High Energy Physics, 2020 - Springer
A bstract We show that the 4d\(\mathcal {N}\)= 1 SU (3) N f= 6 SQCD is the model obtained
when compactifying the rank one E-string theory on a three punctured sphere (a trinion) with …
when compactifying the rank one E-string theory on a three punctured sphere (a trinion) with …
Minimal conformal matter and generalizations of the van Diejen model
B Nazzal, A Nedelin, SS Razamat - SciPost Physics, 2022 - scipost.org
We consider supersymmetric surface defects in compactifications of the $6 d $ minimal $(D_
{N+ 3}, D_ {N+ 3}) $ conformal matter theories on a punctured Riemann surface. For the …
{N+ 3}, D_ {N+ 3}) $ conformal matter theories on a punctured Riemann surface. For the …
[PDF][PDF] Commuting difference operators with polynomial eigenfunctions
JF Van Diejen - Compositio Mathematica, 1995 - numdam.org
We present explicit generators D,..., Dn of an algebra of commuting difference operators in n
variables with trigonometric coefficients. The algebra depends, apart from two scale factors …
variables with trigonometric coefficients. The algebra depends, apart from two scale factors …
[HTML][HTML] E-string quantum curve
In this work we study the quantisation of the Seiberg-Witten curve for the E-string theory
compactified on a two-torus. We find that the resulting operator expression belongs to the …
compactified on a two-torus. We find that the resulting operator expression belongs to the …