On the Perturbative Expansion of Boundary Reflection Factors of the Supersymmetric Sinh–gordon Model

Abstract

The supersymmetric sinh-Gordon model on a half-line with integrable boundary conditions is considered perturbatively to verify conjectured exact reflection factors to one loop order. Propagators for the boson and fermion fields restricted to a half-line contain several novel features and are developed as prerequisites for the calculations.

Universal boundary reflection amplitudes

“…Later on, several other types of solutions for these theories have been proposed and they have been investigated with respect to various aspects [12,13,14,15,16,14,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38]. In particular the sinh-Gordon model has attracted a considerable amount of attention [39,40,41,42,43,44,45]. Despite all this activities, up to now closed formulae similar to the ones mentioned for the bulk theories have not been provided for the corresponding scattering amplitudes when boundaries are included.…”

“…1 -ATFT) is very special [39,40,41,42,43,44,45] and exhibits a distinguished behaviour from all other ATFT's related to simply laced Lie algebras, we consider the next simple case, namely A (1) 2 -ATFT. This was already studied in [10,11,14] and especially detailed in [26].…”

“…Developing the determinant gives now the recursive equationsdet K E 8 = K E 8 /A 1 2 det K E 8 /A 6 − det K E 8 /A 4 − det K E 8 /A 6 = K E 8 /A 1 det K E 8 /D 7 − det K E 8 /A 6 . (A 45). …”

Recent results on D meson decays from the BES Collaboration

“…Invariant mass spectra for K − π + combinations observed on the recoil side of theD 0 tags (the mKnπ combinations) are shown in Fig. [5] K * + events from the D 0 and D + Cabibbo-suppressed decays are observed. After subtracting the number of the background events, we obtain 95.9 ± 44.1 signal events for the D 0 → K * 0 X decay.…”

“…and measurements of branching fractions for the inclusive Cabibbo-favoredK * (892) and Cabibbo-suppressed K * (892) decays of neutral and charged D mesons [5].…”