We construct a new infinite family of integrable deformations of the principal chiral model
(PCM) parameterized by an interaction function of several variables, which extends the …

A bstract We propose a non-associative phase space algebra for M-theory backgrounds with
locally non-geometric fluxes based on the non-associative algebra of octonions. Our …

A bstract We discuss the conditions under which non-abelian T-duality can be considered as
a chain of abelian T-dualities. Motivated by these results, we propose that the topology of a …

The primary focus of this thesis is to investigate the mathematical and physical properties of
spaces that are related by T-duality and its generalisations. In string theory, T-duality is a …

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 show a constrained Hamiltonian system and a gauged sigma model have a structure of
a momentum section and a Hamiltonian Lie algebroid theory recently introduced by …

We generalize the (n+ 1)-dimensional twisted R-Poisson topological sigma model with flux
on a target Poisson manifold to a Lie algebroid. Analyzing the consistency of constraints in …

We introduce a notion of a homotopy momentum section on a Lie algebroid over a pre-
multisymplectic manifold. A homotopy momentum section is a generalization of the …

A bstract We study the T-dualisability criteria of Chatzistavrakidis, Deser and Jonke [3] who
recently used Lie algebroid gauge theories to obtain sigma models exhibiting a “Tduality …

Starting from a sigma‐model for a doubled target‐space geometry, we show that the number
of target‐space dimensions can be reduced by half through a gauging procedure. We apply …