Letters in Mathematical Physics
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On some euclidean einstein metrics
Letters in Mathematical Physics - Tập 12 - Trang 277-282 - 1986
We prove that the complex manifold of the superposition Eguchi-Hanson metric plus the pseudo-Fubini-Study metric is equal to the total space of the holomorphic line bundle of degree −n on the Riemann sphere. The apparent singularities of the metric can be resolved only if the Eguchi-Hanson parameter satisfies a
4=4(n−2)2(n+1)/3Λ2, n≥3. We give a geometrical explanation of the fact that we need n≥3...... hiện toàn bộ
Multiplicity-free Quantum 6j-Symbols for $${U_q(\mathfrak{sl}_N)}$$
Letters in Mathematical Physics - Tập 103 - Trang 1389-1398 - 2013
We conjecture a closed form expression for the simplest class of multiplicity-free quantum 6j-symbols for
$${U_q(\mathfrak{sl}_N)}$$
. The expression is a natural generalization of the quantum 6j-symbols for
...... hiện toàn bộ
Identities for Hypergeometric Integrals of Different Dimensions
Letters in Mathematical Physics - Tập 71 - Trang 89-99 - 2005
Given complex numbers m1, I1 and nonnegative integers m2, I2, such that m1+m2 = I1+ I2, we define I2-dimensional hypergeometric integrals Ia,b(z; m1, m2, I1, I2), a,b = 0,. . . ,min)(m2,I2), depending on a complex parameter z. We show that Ia,b(z;m1, m2,I1, I2) = Ia,b(z;I1, I2,m1,m2), thus establishing an equality of I2 and m2-dimensional integrals. This identity allows us to study asymptotics of ...... hiện toàn bộ
On the spectral decompositions of the linear transport operator with periodic boundary conditions
Letters in Mathematical Physics - Tập 1 - Trang 329-333 - 1976
It is shown that the linear transport operator for a slab with periodic boundary conditions, or for infinite medium, can be analyzed within the Friedrichs' model of perturbation for non-selfadjoint operators. This leads to rephrasing Case's generalized eigenfunction expansion in terms of Hilbert space operators only.
Folded quantum integrable models and deformed W-algebras
Letters in Mathematical Physics - Tập 112 Số 4 - 2022
Dual Isomonodromic Problems and Whitham Equations
Letters in Mathematical Physics - Tập 43 - Trang 123-135 - 1998
The author's recent results on an asymptotic description of the Schlesinger equation are generalized to the Jimbo–Miwa–Môri–Sato (JMMS) equation. As in the case of the Schlesinger equation, the JMMS equation is reformulated to include a small parameter ε. By the method of multi-scale analysis, the isomonodromic problem is approximated by slow modulations of an isospectral problem. A modulation equ...... hiện toàn bộ
Discrete Dynamical Systems with W(A (1) m−1 × A (1) n−1) Symmetry
Letters in Mathematical Physics - Tập 60 - Trang 211-219 - 2002
We give a birational realization of affine Weyl group of type A
(1)
m−1 × A
(1)
n−1. We apply this representation to construct some discrete integrable systems and discrete Painlevé equations. Our construction has a combinatorial counterpart through the ultra-discretization procedure.
Wick-Ordered Entire Functions of the Indefinite Metric Free Field
Letters in Mathematical Physics - - 1997
We present a simple and general method for constructing Wick-ordered entire functions of free fields with an indefinite metric, based on using an appropriate generalization of the Paley–Wiener–Schwartz theorem.
Theta Series, Wall-Crossing and Quantum Dilogarithm Identities
Letters in Mathematical Physics - Tập 106 - Trang 1037-1066 - 2016
Motivated by mathematical structures which arise in string vacua and gauge theories with
$${{\mathcal{N}=2}}$$
supersymmetry, we study the properties of certain generalized theta series which appear as Fourier coefficients of functions on a twist...... hiện toàn bộ
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