N=2 SO(4) 7D gauged supergravity with topological mass term from 11 dimensions

We construct a consistent reduction ansatz of eleven-dimensional supergravity
to $N=2$ $SO(4)$ seven-dimensional gauged supergravity with topological mass
term for the three-form field. The ansatz is ...

From $β$ to $η$: a new cohomology for deformed Sasaki-Einstein manifolds

We discuss in detail the different analogues of Dolbeault cohomology groups
on Sasaki-Einstein manifolds and prove a new vanishing result for the
transverse Dolbeault cohomology groups $H_{\bar\partia ...

Shifts of prepotentials

We study the dynamics of supersymmetric theories in five dimensions obtained
by compactifications of M-theory on a Calabi-Yau threefold X. For a compact X,
this is determined by the geometry of X, in ...

Higgs bundles and flat connections over compact Sasakian manifolds

Given a compact K\"ahler manifold $X$, there is an equivalence of categories
between the completely reducible flat vector bundles on $X$ and the polystable
Higgs bundles $(E,\, \theta)$ on $X$ with $c ...

Maximally twisted eleven-dimensional supergravity

We perform the maximal twist of eleven-dimensional supergravity. This twist
is partially topological and exists on manifolds of $G_2 \times SU(2)$
holonomy. Our derivation starts with an explicit desc ...

Supersymmetry and Hodge theory on Sasakian and Vaisman manifolds

Sasakian manifolds are odd-dimensional counterpart to Kahler manifolds. They
can be defined as contact manifolds equipped with an invariant Kahler structure
on their symplectic cone. The quotient of t ...

Almost contact structures on manifolds with a $G_2$ structure

We review the construction of almost contact metric (three-) structures on
manifolds with a $G_2$ structure. These are of interest for certain
supersymmetric configurations in string and M-theory. We ...

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General Relativity and Quantum Cosmology

High Energy Physics - Theory

Mathematical Physics

Differential Geometry

Super fiber bundles, connection forms and parallel transport

The present work provides a mathematically rigorous account on super fiber
bundle theory, connection forms and their parallel transport, that ties
together various approaches. We begin with a detailed ...

Spin Geometry and Some Applications

In this review, basic definitions of spin geometry are given and some of its
applications to supersymmetry, supergravity and condensed matter physics are
summarized. Clifford algebras and spinors are ...

The kernel of the Rarita-Schwinger operator on Riemannian spin manifolds

We study the Rarita-Schwinger operator on compact Riemannian spin manifolds.
In particular, we find examples of compact Einstein manifolds with positive
scalar curvature where the Rarita-Schwinger ope ...