We give a covariant realization of the doubled sigma-model formulation of duality-symmetric
string theory within the general framework of para-Hermitian geometry. We define a notion of …

The construction of gauge theories beyond the realm of Lie groups and algebras leads one
to consider Lie groupoids and algebroids equipped with additional geometrical structures …

Gauge theories possess nonlocal features that, in the presence of boundaries, inevitably
lead to subtleties. We employ geometric methods rooted in the functional geometry of the …

A bstract We extend the notion of Lie bialgebroids for more general bracket structures used
in string and M theories. We formalize the notions of calculus and dual calculi on algebroids …

We present the construction of the classical Batalin–Vilkovisky (BV) action for topological
Dirac sigma models. The latter are two-dimensional topological field theories that …

In this paper we discuss the categorical properties of Z-graded manifolds. We start by
describing the local model paying special attention to the differences in comparison to the N …

A bstract We study aspects of two-dimensional nonlinear sigma models with Wess-Zumino
term corresponding to a nonclosed 3-form, which may arise upon dimensional reduction in …

We study the propagation of bosonic strings in singular target space-times. For describing
this, we assume this target space to be the quotient of a smooth manifold M by a singular …

A bstract In this paper we study the general conditions that have to be met for a gauged
extension of a two-dimensional bosonic σ-model to exist. In an inversion of the usual …

We present a Yang-Mills-Higgs (YMH) gauge theory in which structure constants of the
gauge group may depend on Higgs fields. The data of the theory are encoded in the bundle …