Christian Sämann

Non-Abelian Tensor Multiplet Equations from Twistor Space

We establish a Penrose–Ward transform yielding a bijection between holomorphic principal 2-bundles over a twistor space and non-Abelian self-dual tensor fields on six-dimensional flat space-time. Extending the twistor space to supertwistor space, we derive sets of manifestly

Quantized Nambu–Poisson manifolds and n-Lie algebras

{\mathcal{N} = (1, 0)}

Twisted Supersymmetry and Non-Anticommutative Superspace

N=(1,0) and

The Topological B-model on a Mini-Supertwistor Space and Supersymmetric Bogomolny Monopole Equations

{\mathcal{N} = (2, 0)}

Six-Dimensional Superconformal Field Theories from Principal 3-Bundles over Twistor Space

N=(2,0) supersymmetric non-Abelian constraint equations containing the tensor multiplet. We also demonstrate how this construction leads to constraint equations for non-Abelian supersymmetric self-dual strings.

Drinfeld twist and general relativity with fuzzy spaces

Abstract We study marginal deformations of superconformal Chern–Simons matter theories that are based on 3-algebras. For this, we introduce the notion of an associated 3-product, which captures very general gauge invariant deformations of the superpotentials of the BLG and ABJM models. We also consider conformal multi-trace deformations preserving N = 2 supersymmetry. We then use N = 2 supergraph techniques to compute the two-loop beta functions of these deformations. Besides confirming conformal invariance of both the BLG and ABJM models, we also verify that the recently proposed β-deformations of the ABJM model are indeed marginal to the order we are considering.