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math-ph2006★ 33 cited
Correlation Functions of Harish-Chandra Integrals over the Orthogonal and the Symplectic Groups
A. Prats Ferrer, B. Eynard, P. Di Francesco +1
The Harish-Chandra correlation functions, i.e. integrals over compact groups of invariant monomials prod tr{X^{p_1} Omega Y^{q_1} Omega^dagger X^{p_2} ... with the weight exp tr{X…
math-ph2006★ 34 cited
Sum rules for the ground states of the O(1) loop model on a cylinder and the XXZ spin chain
P. Di Francesco, P. Zinn-Justin, J. -B. Zuber
The sums of components of the ground states of the O(1) loop model on a cylinder or of the XXZ quantum spin chain at Delta=-1/2 (of size L) are expressed in terms of combinatorial…