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math-ph2011★ 4 cited

Group Fourier transform and the phase space path integral for finite dimensional Lie groups

Matti Raasakka

We formulate a notion of group Fourier transform for a finite dimensional Lie group. The transform provides a unitary map from square integrable functions on the group to square in…

math-ph2011★ 17 cited

Nodal domains of a non-separable problem - the right angled isosceles triangle

Amit Aronovitch, Ram Band, David Fajman +1

We study the nodal set of eigenfunctions of the Laplace operator on the right angled isosceles triangle. A local analysis of the nodal pattern provides an algorithm for computing t…

math-ph2011

Coideal Quantum Affine Algebra and Boundary Scattering of the Deformed Hubbard Chain

Marius de Leeuw, Takuya Matsumoto, Vidas Regelskis

We consider boundary scattering for a semi-infinite one-dimensional deformed Hubbard chain with boundary conditions of the same type as for the Y=0 giant graviton in the AdS/CFT co…

math-ph2011★ 20 cited

The Bound State S-matrix of the Deformed Hubbard Chain

Marius de Leeuw, Takuya Matsumoto, Vidas Regelskis

In this work we use the q-oscillator formalism to construct the atypical (short) supersymmetric representations of the centrally extended Uq (su(2|2)) algebra. We then determine th…

math-ph2011★ 36 cited

On the stability of the massive scalar field in Kerr space-time

Horst Reinhard Beyer

The current early stage in the investigation of the stability of the Kerr metric is characterized by the study of appropriate model problems. Particularly interesting is the proble…

math-ph2011★ 42 cited

A Quantum Affine Algebra for the Deformed Hubbard Chain

Niklas Beisert, Wellington Galleas, Takuya Matsumoto

The integrable structure of the one-dimensional Hubbard model is based on Shastry's R-matrix and the Yangian of a centrally extended sl(2|2) superalgebra. Alcaraz and Bariev have s…