6,198 research outputs found
On the ISS model of dynamical SUSY breaking
In this letter we would like to apply the superconformal index technique to
give one more evidence for the theory proposed by Intriligator, Seiberg and
Shenker (ISS) as being described by interacting conformal field theory in its
IR fixed point.Comment: LaTex, 5 pages; minor changes, accepted for publication in Physics
Letters
Rarefied elliptic hypergeometric functions
Two exact evaluation formulae for multiple rarefied elliptic beta integrals
related to the simplest lens space are proved. They generalize evaluations of
the type I and II elliptic beta integrals attached to the root system . In
a special case, the simplest limit is shown to lead to a new
class of -hypergeometric identities. Symmetries of a rarefied elliptic
analogue of the Euler-Gauss hypergeometric function are described and the
respective generalization of the hypergeometric equation is constructed. Some
extensions of the latter function to and root systems and
corresponding symmetry transformations are considered. An application of the
rarefied type II elliptic hypergeometric function to some eigenvalue
problems is briefly discussed.Comment: 41 pp., corrected numeration of formula
Deformed Conformal and Supersymmetric Quantum Mechanics
Within the standard quantum mechanics a q-deformation of the simplest N=2
supersymmetry algebra is suggested. Resulting physical systems do not have
conserved charges and degeneracies in the spectra. Instead, superpartner
Hamiltonians are q-isospectral, i.e. the spectrum of one can be obtained from
another by the q^2-factor scaling. A special class of the self-similar
potentials is shown to obey the dynamical conformal symmetry algebra su_q(1,1).
These potentials exhibit exponential spectra and corresponding raising and
lowering operators satisfy the q-deformed harmonic oscillator algebra of
Biedenharn and Macfarlane.Comment: 11 page
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