635 research outputs found
Geometry of N=1 Super Yang-Mills Theory in Curved Superspace
We give a new description of N=1 super Yang-Mills theory in curved
superspace. It is based on the induced geometry approach to a curved superspace
in which it is viewed as a surface embedded into C(4|2). The complex structure
on C(4|2) supplied with a standard volume element induces a special
Cauchy-Riemann (SCR)-structure on the embedded surface. We give an explicit
construction of SYM theory in terms of intrinsic geometry of the superspace
defined by this SCR-structure and a CR-bundle over the superspace. We write a
manifestly SCR-covariant Lagrangian for SYM coupled with matter. We also show
that in a special gauge our formulation coincides with the standard one which
uses Lorentz connections. Some useful auxiliary results about the integration
over surfaces in superspace are obtained.Comment: 16 pages, Late
On form-factors in Sin(h)-Gordon theory
We present here an explicit classical solution of the type of perturbiner in
Sin(h)-Gordon model. This solution is a generating function for form-factors in
the tree approximation.Comment: 10 pages, late
Quantum rotors and their symmetries
A connection between nuclear symmetries other than those of an ellipsoidal
nucleus and the properties of the implied rotational spectra are discussed. The
discussion is focussed on a few examples of exotic shapes predicted recently by
microscopic calculations. Some possible interpretation difficulties related to
experiment are shortly mentioned.Comment: Invited talk at "High Spin Physics 2001", see
http://www.fuw.edu.pl/~hs2001/ , to be published in Acta Physica Polonica
On amplitudes in self-dual sector of Yang-Mills theory
Self-dual perturbiner in the Yang-Mills theory is constructed by the twistor
methods both in topologically trivial and topologically nontrivial cases.
Maximally helicity violating amplitudes and their instanton induced analogies
are briefly discussed.Comment: 9 pages, Latex, a misguided reference is corrected, ps is also
available at http://wwwtheor.itep.ru/preprints/1996
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