Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-07-06
Nucl.Phys. B414 (1994) 715-762
Physics
High Energy Physics
High Energy Physics - Theory
53 pages
Scientific paper
10.1016/0550-3213(94)90259-3
The conformal field theory for the $gl(N,N)$ affine Lie superalgebra in two space-time dimensions is studied. The energy-momentum tensor of the model, with vanishing Virasoro anomaly, is constructed. This theory has a topological symmetry generated by operators of dimensions 1, 2 and 3, which are represented as normal-ordered products of $gl(N,N)$ currents. The topological algebra they satisfy is linear and differs from the one obtained by twisting the $N=2$ superconformal models. It closes with a set of $gl(N)$ bosonic and fermionic currents. The Wess-Zumino-Witten model for the supergroup $GL(N,N)$ provides an explicit realization of this symmetry and can be used to obtain a free-field representation of the different generators. In this free-field representation, the theory decomposes into two uncoupled components with $sl(N)$ and $U(1)$ symmetries. The non-abelian component is responsible for the extended character of the topological algebra, and it is shown to be equivalent to an $SL(N)/ SL(N)$ coset model. In the light of these results, the $G/ G$ coset models are interpreted as topological sigma models for the group manifold of $G$
Isidro Jose M.
Ramallo Alfonso V.
No associations
LandOfFree
gl(N,N) Current Algebras and Topological Field Theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with gl(N,N) Current Algebras and Topological Field Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and gl(N,N) Current Algebras and Topological Field Theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-87835