10,564 research outputs found
Chargino Contributions to Epsilon and Epsilon-Prime
We analyze the chargino contributions to the K-\bar K mixing and
epsilon-prime in the mass insertion approximation and derive the corresponding
bounds on the mass insertion parameters. We find that the chargino
contributions can significantly enlarge the regions of the parameter space
where CP violation can be fully supersymmetric. In principle, the observed
values of epsilon and epsilon-prime may be entirely due to the chargino --
up-squark loops.Comment: 9 pages, 2 figures, to appear in PL
Yangian Algebras and Classical Riemann Problems
We investigate different Hopf algebras associated to Yang's solution of
quantum Yang-Baxter equation. It is shown that for the precise definition of
the algebra one needs the commutation relations for the deformed algebra of
formal currents and the specialization of the Riemann problem for the currents.
Two different Riemann problems are considered. They lead to the central
extended Yangian double associated with and to the degeneration of
scaling limit of elliptic affine algebra. Unless the defining relations for the
generating functions of the both algebras coincide their properties and the
theory of infinite-dimensional representations are quite different. We discuss
also the Riemann problem for twisted algebras and for scaled elliptic algebra.Comment: 36 pages, 3 figures under bezier.sty, corrected some typo
Baxter operator and Archimedean Hecke algebra
In this paper we introduce Baxter integral Q-operators for finite-dimensional
Lie algebras gl(n+1) and so(2n+1). Whittaker functions corresponding to these
algebras are eigenfunctions of the Q-operators with the eigenvalues expressed
in terms of Gamma-functions. The appearance of the Gamma-functions is one of
the manifestations of an interesting connection between Mellin-Barnes and
Givental integral representations of Whittaker functions, which are in a sense
dual to each other. We define a dual Baxter operator and derive a family of
mixed Mellin-Barnes-Givental integral representations. Givental and
Mellin-Barnes integral representations are used to provide a short proof of the
Friedberg-Bump and Bump conjectures for G=GL(n+1) proved earlier by Stade. We
also identify eigenvalues of the Baxter Q-operator acting on Whittaker
functions with local Archimedean L-factors. The Baxter Q-operator introduced in
this paper is then described as a particular realization of the explicitly
defined universal Baxter operator in the spherical Hecke algebra H(G(R),K), K
being a maximal compact subgroup of G. Finally we stress an analogy between
Q-operators and certain elements of the non-Archimedean Hecke algebra
H(G(Q_p),G(Z_p)).Comment: 32 pages, typos corrected
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