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Showing 2010 · math-phShow all

8 papers · 2 filters

math-ph2010★ 56 cited

Oscillator Construction of su(n|m) Q-Operators

Rouven Frassek, Tomasz Lukowski, Carlo Meneghelli +1

We generalize our recent explicit construction of the full hierarchy of Baxter Q-operators of compact spin chains with su(n) symmetry to the supersymmetric case su(n|m). The method…

math-ph2010★ 20 cited

A simple proof of orientability in colored group field theory

Francesco Caravelli

In this short note we use results from the theory of crystallizations to prove that color in group field theories garantees orientability of the piecewise linear pseudo-manifolds a…

math-ph2010★ 19 cited

A new representation for the partition function of the six vertex model with domain wall boundaries

W. Galleas

We obtain a new representation for the partition function of the six vertex model with domain wall boundaries using a functional equation recently derived by the author. This new r…

math-ph2010★ 67 cited

Baxter's Q-operators and operatorial Backlund flow for quantum (super)-spin chains

Vladimir Kazakov, Sebastien Leurent, Zengo Tsuboi

We propose the operatorial form of Baxter's TQ-relations in a general form of the operatorial Bäcklund flow describing the nesting process for the inhomogeneous rational gl(K|M) qu…

math-ph2010★ 104 cited

Baxter Q-Operators and Representations of Yangians

Vladimir V. Bazhanov, Rouven Frassek, Tomasz Lukowski +2

We develop a new approach to Baxter Q-operators by relating them to the theory of Yangians, which are the simplest examples for quantum groups. Here we open up a new chapter in thi…

math-ph2010★ 29 cited

Functional relations for the six vertex model with domain wall boundary conditions

W. Galleas

In this work we demonstrate that the Yang-Baxter algebra can also be employed in order to derive a functional relation for the partition function of the six vertex model with domai…

math-ph2010★ 36 cited

The Classical Trigonometric r-Matrix for the Quantum-Deformed Hubbard Chain

Niklas Beisert

The one-dimensional Hubbard model is an exceptional integrable spin chain which is apparently based on a deformation of the Yangian for the superalgebra gl(2|2). Here we investigat…

math-ph2010★ 13 cited

Discrete curvature and the Gauss-Bonnet theorem

Joakim Arnlind, Jens Hoppe, Gerhard Huisken

For matrix analogues of embedded surfaces we define discrete curvatures and Euler characteristics, and a non-commutative Gauss--Bonnet theorem is shown to follow. We derive simple…