
Vladimir Dobrev
Bulgarian Academy of Sciences
Unitary Irreducible Representations of Noncompact Superalgebras.
Friday 11th October, 121pm,
Carslaw 373.
Recently, superconformal field theories in various dimensions are
attracting great attention due to their applications to superstrings.
This makes the classification of the positive energy unitary irreducible
representations of the corresponding conformal superalgebras very
important. The initial stress was
on spacetime dimensions D=3,4,5,6 since in these cases the relevant
conformal superalgebras satisfy the HaagLopuszanskiSohnius theorem,
i.e., the underlying conformal algebra so(D,2) is a simple factor of
the bosonic subalgebra. Until recently such classification was known
only for the D=4 conformal superalgebras su(2,2/N) by Flato and
Fronsdal for N=1 and by Dobrev and Petkova for arbitrary N. This talk
will present the general formalism used by DP and its applications to
recent work in the cases D=3,5,6 with stress on the D=6 case, where now
the results are complete.







