25 citations · 105 across the 20 of their papers we have counts for
21 papers
On the generalised Lie derivative of (s)pinor fields
Frederik Ďalak, Fridrich Valach
Although the action of diffeomorphisms on pinor (or spinor) fields is geometrically unambiguous, the definition of a natural Lie derivative is more subtle and requires some underst…
Kodaira-Spencer theory for flux backgrounds
Caleb Jonker, Julian Kupka, Ingmar Saberi +2
We give an explicit description (in component fields) of a holomorphic theory associated to a general supersymmetric background of supergravity in ten dimensions. Co…
Kodaira-Spencer theory for Courant algebroids
Julian Kupka, Ingmar Saberi, Charles Strickland-Constable +1
Studying Courant algebroids on dg ringed manifolds, we observe that the associated Roytenberg-Weinstein algebra admits a local structure reminiscent of a shifted contact…
Geometry of supergravity and the Batalin--Vilkovisky formulation of the theory in ten dimensions
Julian Kupka, Charles Strickland-Constable, Fridrich Valach
We provide full details of a BV formulation of supergravity in ten dimensions, to all orders in fermions, built from the generalised geometry description of the theo…
Batalin-Vilkovisky formulation of the supergravity in ten dimensions
Julian Kupka, Charles Strickland-Constable, Fridrich Valach
We present a full Batalin-Vilkovisky action in the component field formalism for supergravity in ten dimensions coupled to Yang-Mills multiplets.
Higher fermions in supergravity
Julian Kupka, Charles Strickland-Constable, Fridrich Valach
We show that the generalised geometry formalism provides a new approach to the description of higher-fermion terms in supergravity in ten dimensions, which does not…
Direct derivation of supergravity in ten dimensions to all orders in fermions
Julian Kupka, Charles Strickland-Constable, Fridrich Valach
It has been known for some time that generalised geometry provides a particularly elegant rewriting of the action and symmetries of 10-dimensional supergravity theories, up to the…
Supergravity without gravity and its BV formulation
Julian Kupka, Charles Strickland-Constable, Fridrich Valach
The generalised-geometric formulation of 10-dimensional supergravity suggests a particular simple "limit", which results in a theory whose only dynamical degrees of freedom are the…
BPS complexes and Chern--Simons theories from -structures in gauge theory and gravity
Julian Kupka, Charles Strickland-Constable, Eirik Eik Svanes +2
We consider a variety of physical systems in which one has states that can be thought of as generalised instantons. These include Yang--Mills theories on manifolds with a torsion-f…
Ricci flow on Courant algebroids
Jeffrey Streets, Charles Strickland-Constable, Fridrich Valach
We develop a theory of Ricci flow for metrics on Courant algebroids which unifies and extends the analytic theory of various geometric flows, yielding a general tool for constructi…
Y-algebroids and -generalised geometry
Ondrej Hulik, Emanuel Malek, Fridrich Valach +1
We define the notion of Y-algebroids, generalising the Lie, Courant, and exceptional algebroids that have been used to capture the local symmetry structure of type II string theory…
Super AKSZ construction, integral forms, and the 2-dimensional sigma model
Ondrej Hulik, Josef Svoboda, Fridrich Valach
We discuss a natural extension of the AKSZ construction to the case where the source is given by a supermanifold with a chosen integral form. We then focus on the special case with…
Democratic actions for type II supergravities
Karapet Mkrtchyan, Fridrich Valach
We present a universal democratic Lagrangian for the bosonic sector of ten-dimensional type II supergravities, treating "electric" and "magnetic" potentials of all RR fields on equ…
Exceptional algebroids and type IIA superstrings
Ondrej Hulik, Fridrich Valach
We study exceptional algebroids in the context of warped compactifications of type IIA string theory down to dimensions, with . In contrast to the M-theory and type IIB…
G-algebroids: a unified framework for exceptional and generalised geometry, and Poisson-Lie duality
Mark Bugden, Ondrej Hulik, Fridrich Valach +1
We introduce the notion of G-algebroid, generalising both Lie and Courant algebroids, as well as the algebroids used in exceptional generalised geometr…
Ricci tensor in graded geometry
Fridrich Valach
We define the notion of the Ricci tensor for NQ symplectic manifolds of degree 2 and show that it corresponds to the standard generalized Ricci tensor on Courant algebroids. We use…
Schwarzian quantum mechanics as a Drinfeld-Sokolov reduction of theory
Fridrich Valach, Donald Ray Youmans
We give an interpretation of the holographic correspondence between two-dimensional theory on the punctured disk with gauge group and Schwarzian quant…
A non-abelian duality for (higher) gauge theories
Ján Pulmann, Pavol Ševera, Fridrich Valach
We consider a TFT on the product of a manifold with an interval, together with a topological and a non-topological boundary condition imposed at the two respective ends. The result…
Courant algebroids, Poisson-Lie T-duality, and type II supergravities
Pavol Ševera, Fridrich Valach
We reexamine the notions of generalized Ricci tensor and scalar curvature on a general Courant algebroid, reformulate them using objects natural w.r.t. pull-backs and reductions, a…
Ricci flow, Courant algebroids, and renormalization of Poisson--Lie T-duality
Pavol Ševera, Fridrich Valach
We use a generalized Ricci tensor, defined for generalized metrics in Courant algebroids, to show that Poisson-Lie T-duality is compatible with the 1-loop renormalization group.
Lie groups in quasi-Poisson geometry and braided Hopf algebras
Pavol Ševera, Fridrich Valach
We extend the notion of Poisson-Lie groups and Lie bialgebras from Poisson to g-quasi-Poisson geometry and provide a quantization to braided Hopf algebras in the corresponding Drin…