This book aims to fill the gap in the available literature on supermanifolds, describing the
different approaches to supermanifolds together with various applications to physics …

A bstract In this work, we revisit the end-of-the-world (EOW) brane amplitudes in JT gravity
from a BF gauge theoretic perspective. Observing and identifying the correct group theoretic …

This review is meant to be an account of the properties of the infinite-dimensional quantum
group (specifically, Yangian) symmetry lying behind the integrability of the AdS/CFT spectral …

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

According to the work of Berkovits, Vafa and Witten, the non-linear sigma model on the
supergroup PSU (1, 1| 2) is the essential building block for string theory on AdS 3× S 3× T 4 …

A bstract We consider limits of\(\mathcal {N}\)= 4 super-Yang-Mills (SYM) theory that
approach BPS bounds. These limits result in non-relativistic theories that describe the …

In this note we present a complete analysis of finite-dimensional representations of the Lie
superalgebra sl (2| 1). This includes, in particular, the decomposition of all tensor products …

Extending our earlier work on PSL (2| 2), we explain how to reduce the solution of WZNW
models on general type I supergroups to those defined on the bosonic subgroup. The new …

The Lie superalgebra psl (2∣ 2) is recognized as a quite special algebra. In mathematics, it
has the vanishing Killing form and allows for the threedimensional central extension. In …

We investigate the quantum behaviour of sigma models on coset superspaces G/H defined
by Z2n gradings of G. We find that, whenever G has vanishing Killing form, there is a choice …