Boundary Weyl anomaly of N $$ \mathcal{N} $$ = (2, 2) superconformal models

Superconformal anomaly free models in

A family of modified (0, 1) heterotic string models in D = 4 is constructed in which the strings are boundaries of Chern Simons 2-branes. These models have a cancellation mechanism for R gauge anomalies so as to make local spacetime superconformal symmetry consistent with quantum mechanics. There is an intrinsic Goldstino multiplet, so that supersymmetry breaking can be driven by any process th...

Anomalous N=2 Superconformal Ward Identities

The N=2 superconformal Ward identities and their anomalies are discussed in N=2 superspace (including N=2 harmonic superspace), at the level of the low-energy effective action (LEEA) in four-dimensional N=2 supersymmetric field theories. The (first) chiral N=2 supergravity compensator is related to the known N=2 anomalous Ward identity in the N=2 (abelian) vector mulitplet sector. As regards th...

N=2 Superconformal Affine Liouville Theory

We present a new supersymmetric integrable model: the N = 2 superconformal affine Liouville theory. It interpolates between the N = 2 super Liouville and N = 2 super sineGordon theories and possesses a Lax representation on the complex affine Kac-Moody superalgebra ˆ sl(2|2)(1). We show that the higher spin W1+∞-type symmetry algebra of ordinary conformal affine Liouville theory extends to a N ...

Recent Results on N=2 Superconformal Algebras

In the last six years remarkable developments have taken place concerning the representation theory of N=2 superconformal algebras. Here we present the highlights of such developments.

N=2 Superconformal Symmetry and SO(2,l) Current Algebra