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RESEARCH PRODUCT
Partition function of the trigonometric SOS model with reflecting end
Ghali FilaliNikolai Kitaninesubject
Statistics and ProbabilityHigh Energy Physics - Theory[PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph]Domain wall boundary conditionsopen spin chainsFOS: Physical sciencesBoundary (topology)Type (model theory)01 natural sciences[ PHYS.HTHE ] Physics [physics]/High Energy Physics - Theory [hep-th]Domain wall (string theory)[MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph]0103 physical sciencesASEPBoundary value problem010306 general physicsMathematical PhysicsMathematicsPartition function (quantum field theory)010308 nuclear & particles physics[PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th]Mathematical analysis[ MATH.MATH-MP ] Mathematics [math]/Mathematical Physics [math-ph]Algebraic Bethe ansatzStatistical and Nonlinear PhysicsMathematical Physics (math-ph)Square latticeReflection (mathematics)High Energy Physics - Theory (hep-th)[ PHYS.MPHY ] Physics [physics]/Mathematical Physics [math-ph]Statistics Probability and UncertaintyTrigonometrydescription
We compute the partition function of the trigonometric SOS model with one reflecting end and domain wall type boundary conditions. We show that in this case, instead of a sum of determinants obtained by Rosengren for the SOS model on a square lattice without reflection, the partition function can be represented as a single Izergin determinant. This result is crucial for the study of the Bethe vectors of the spin chains with non-diagonal boundary terms.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-06-03 |