120357954
New R Matrices Associated with Cyclic Representations of Uq(A2(2))
197508512
TRANSFORMATION GROUPS FOR SOLITON EQUATIONS. 6. KP HIERARCHIES OF ORTHOGONAL AND SYMPLECTIC TYPE
117707944
Quantum R matrix related to the generalized Toda system: An algebraic approach
We report on some recent progress concerning the Yang-Baxter equation and related algebraic structures -the q-analogue 
 
of the universal enveloping algebra and the Hecke algebra. The results include 1) construction of trigonometric R matrices related to the vector representation of non-exceptional Lie algebras, ii) construction of representations of 
 
for 
 
, and iii) existence of R for a class of representations of 
 
.
73711304
Solitons and Infinite-Dimensional Lie Algebras
Introduction §1. Fock Representation of gf(°°) §2. T Functions and the KP Hierarchy §3. Reduction to A[" §4. Fermions with 2 Components §5. Algebras B^ and Co §6. Spin Representation of J&TO §7. Algebras D^ and £C §8. Reduction to Kac-Moody Lie Algebras §9. Time Evolutions with Singularities Other than k = 00 —The 2 Dimensional Toda Lattice— §10. Difference Equations —The Principal Chiral Field— Appendix 1. Bilinear Equations for the (Modified) KP Hierarchies Appendix 2. Bilinear Equations for the 2 Component Reduced KP Hierarchy Appendix 3. Bilinear Equations Related to the Spin Representations of Bca Appendix 4. Bilinear Equations Related to the Spin Representations of D^
117124186
Branching rules for quantum toroidal gl(n)
We construct an analog of the subalgebra $Ugl(n)\otimes Ugl(m)$ of $Ugl(m+n)$ in the setting of quantum toroidal algebras and study the restrictions of various representations to this subalgebra.
14644136
Smirnov's integrals and the quantum Knizhnik-Zamolodchikov equation of level 0
We study the quantum Knizhnik-Zamolodchikov equation (1984) of level 0 associated with the spin 1/2 representation of Uq(SL2). We find an integral formula for solutions in the case of an arbitrary total spin and mod q mod <1. In the formula, different solutions can be obtained by taking different integral kernels with the cycle of integration being fixed.
5722422
The automatic computation for SUSY processes
AbstractWe have constructed a system for the automatic computation of cross-sectionsfor the processesof the SUSY QED by the extension of the GRACE system includinga Majorana fermion. The system has also been applied to another model includingMajorana fermions, MSSM, by the deﬁnition of the model ﬁle. IntroductionIthas been widely believed that there exists a symmetry called supersymmetry (SUSY)between bosons and fermions at the uniﬁcation-energy scale. It, however, is a brokensymmetry at the electroweak-energy scale. The relic of SUSY is expected to remain asa rich spectrum of SUSY particles, partners of usual matter fermions, gauge bosons andHiggs scalars, named sfermions, gauginos and higgsinos, respectively [1, 2, 3].The neutral gauginos and higgsinos are Majorana fermions, which become the mixedstates called neutralinos. Since anti-particles of Majorana fermions are themselves, thereexists so-called ‘Majorana-ﬂip’, the transition between particle and anti-particle. This hasbeen the most important problem which we should solve when we realize the automaticsystem for computation of the SUSY processes.1
120133529
Two-body and three-body decays of charginos in one-loop order in the MSSM
We present the renormalization scheme used in and the characteristic features of GRACE/SUSY-loop, the package of the program for the automatic calculation of the minimal supersymmetric standard model processes including one-loop order corrections. The two-body and three-body decay widths of charginos in one-loop order evaluated by GRACE/SUSY-loop are shown.