In this review, we give an overview of several recent generalizations of the Fourier transform,
related to either the Lie algebra or the Lie superalgebra. In the former case, one obtains …

Conformal sigma models and Wess–Zumino–Witten (WZW) models on coset superspaces
provide important examples of logarithmic conformal field theories. They possess many …

A bstract Quenched disorder is very important but notoriously hard. In 1979, Parisi and
Sourlas proposed an interesting and powerful conjecture about the infrared fixed points with …

For a finite dimensional unital complex simple Jordan superalgebra J, the Tits–Kantor–
Koecher construction yields a 3-graded Lie superalgebra g^ ♭ ≅ g^ ♭ (-1) ⊕ g^ ♭ (0) ⊕ g …

The transformation formula of the Berezin integral holds, in the non-compact case, only up to
boundary integrals, which have recently been quantified by Alldridge–Hilgert–Palzer. We …

Schur–Weyl duality for the Brauer algebra and the ortho-symplectic Lie superalgebra |
SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find a journal …

Given a complex orthosymplectic superspace V, the orthosymplectic Lie superalgebra osp
(V) osp (V) and general linear algebra gl _N gl N both act naturally on the coordinate super …

The present thesis is dedicated to questions at the interface of the perhaps currently best
known approaches toward quantum gravity, namely loop quantum gravity and superstring …

Conformal symmetries of the super Dirac operator Page 1 Rev. Mat. Iberoam. 31 (2015), no. 2,
373–410 doi 10.4171/rmi/838 c European Mathematical Society Conformal symmetries of the …

Pizzetti's formula explicitly shows the equivalence of the rotation invariant integration over a
sphere and the action of rotation invariant differential operators. We generalize this idea to …