Dr Christian Korff

Combinatorial Aspects of Quantum Integrable Systems

NEW: Cylindric Macdonald functions and a deformation of the Verlinde algebra. preprint;  arxiv:1110.6356

The su(n) WZNW fusion ring as integrable model: a new algorithm to compute fusion coefficients. RIMS Kokyuroku Bessatsu B28 (2011) pp. 121-153;  arxiv:1106.5342

Noncommutative Schur polynomials and the crystal limit of the Uq(sl^2) vertex model. J Phys A 43 (2010) 434021;  arxiv:1006.4710

A combinatorial derivation of the Racah-Speiser algorithm for Gromov-Witten invariants (preliminary version) arXiv:0910.3395

The sl(n)-WZNW fusion ring: a combinatorial construction and a realisation as quotient of quantum cohomology. with Catharina Stroppel. Adv Math 225, 1 (2010) 200-268; arXiv:0909.2347

A combinatorial description of the sl(n) fusion ring with Catharina Stroppel. Oberwolfach Report "Enveloping Algebras and Geometric Representation Theory" 15/2009 (pp 45-49)

Non-Hermitian Quantum Spin-Chains and PT-invariance

PT symmetry of the non-Hermitian XX spin-chain: Non-local bulk interaction from complex boundary fields. J Phys A 41 (2008) 295206; arxiv:0803.4500

PT-invariance and representations of the Temperley-Lieb algebra on the unit circle. Conference Proceedings: Recent Advances in Quantum Integrable Systems 2007, Annecy-le-vieux, France, 2008. Editors: L. Frappat and E. Ragoucy; arxiv:0712.2205

Turning the quantum group invariant  XXZ chain Hermitian: a conjecture of an invariant product for the Temperley-Lieb algebra on the unit circle J Phys A 41 (2008) 194013. Special issue: IDAQUIS 2007; arXiv:0709.3631

Exactly Solvable Lattice Models and Baxter's Q-operator

A Q-operator for the quantum transfer matrix  J. Phys. A: Math. Gen. 40 (2007) 3749-3774; math-ph/0610028

A Q-operator for the twisted XXX model  J. Phys. A: Math. Gen. 39 (2006) 3203-3219; math-ph/0511022

A Q-operator identity for the correlation functions of the infinite XXZ spin-chain J. Phys. A: Math. Gen. 38 (2005) 6641-6657; hep-th/0503130

Representation Theory and Baxter's TQ equation for the six-vertex model. A pedagogical overview in Proceedings "Progress in Solvable Lattice Models" Kokyurokuo. 1480, RIMS Kyoto University, Japan, July 2004, pp. 79-93; cond-mat/0411758

Solving Baxter's TQ equation via representation theory in "Non-Commutative Geometry and Representation Theory in Mathematical Physics" Contemporary Mathematics v391, eds J. Fuchs et al, AMS 2005, pp 199-211; math-ph/0411034

Auxiliary matrices on both sides of the equator J. Phys. A: Math. Gen. 38 (2005) 47-67; math-ph/0408023

Auxiliary matrices for the six-vertex model and the algebraic Bethe ansatz J. Phys. A: Math. Gen. 37 (2004) 7227-7253; math-ph/0404028

The twisted XXZ model at roots of unity revisited J. Phys. A: Math. Gen. 37 (2004) 1681-1689; cond-mat/0308267

Auxiliary matrices for the six-vertex model at roots of unity II.  Bethe roots, complete strings and the Drinfeld polynomial J. Phys. A: Math. Gen. 37 (2004) 385-406; special issue: "Recent Advances in the Theory of Quantum Integrable Systems" math-ph/0305035

Auxiliary matrices for the six-vertex model at roots of 1 and a geometric interpretation of its symmetries J. Phys. A: Math. Gen. 36 (2003) 5229-5266; math-ph/0302002

Universal amplitude ratios and Coxeter geometry in the dilute A model with Katherine A. Seaton Nucl. Phys. B636 [FS] (2002) 435-464; cond-mat/0204232

Superalgebras at roots of unity and non-abelian symmetries of integrable models with Itzhak Roditi J. Phys. A: Math. Gen.  35 (2002) 5115-5137; cond-mat/0108410

Loop symmetry of integrable vertex models at roots of unity with Barry M. McCoy Nucl. Phys. B618 (2001) 551-569; hep-th/0104120

Integrable Quantum Field Theory and Factorizable S-matrices

Affine Toda field theory related to Coxeter groups of non-crystallographic type with Andreas Fring  Nucl. Phys. B 729 (2005) 361-386; hep-th/0506226

Colours associated to non simply-laced Lie algebras and exact S-matrices Phys. Lett. B501 (2001) 289-296; hep-th/0010287

Form factors of the homogeneous Sine-Gordon models with O.Castro-Alvaredo and Andreas Fring Phys. Lett. B484 (2000) 167-176; hep-th/0004089

Large and small density approximations to the thermodynamic Bethe ansatz with Andreas Fring Nucl. Phys. B579 (2000) 617-631; hep-th/0002185

Thermodynamic Bethe ansatz of the Homogeneous Sine-Gordon models with O.Castro-Alvaredo, A. Fring and J.L. Miramontes Nucl. Phys. B575 (2000) 535-560; hep-th/9912196

Colour valued scattering matrices with Andreas Fring Phys. Lett. B477 (2000) 380-386; hep-th/0001128

On the universal representation of the scattering matrix of affine Toda field theory with A. Fring and B.J. Schulz Nucl. Phys. B567 (2000) 409-453; hep-th/9907125

The UV behaviour of integrable QFT's, affine Toda field theory with A. Fring and B.J. Schulz Nucl. Phys. B549 (1999) 579-612; hep-th/990201

Miscellaneous

Non-crystallographic reduction of generalized Calogero-Moser models with Andreas Fring J. Phys. A: Math. Gen. 39 (2006) 1115-1131; hep-th/0509152

Exactly solvable potentials of Calogero type for q-deformed Coxeter groups with Andreas Fring J. Phys. A: Math. Gen. 37 (2004) 10931-10949; hep-th/0405147

Two particle scattering theory for anyons with G. Lang and R. Schrader J. Math. Phys. 40 (1999) 1831-1869; quant-ph/98090

Edited Conference Proceedings

Proceedings of the Workshop “Geometric Aspects of Discrete and Ultra-Discrete Integrable Systems” SIGMA (2010) Guest Editors:CK, M Okado, W K Schief, T Tokihiro 

Volume of selected papers arising from the Conference Algebraic Aspects of Integrable Systems, ISLAND 3, Islay 2007 Glasgow Math. J. 51A (2009) Editors: Misha Feigin, CK, Ian Strachan