Results 31 to 40 of about 414 (184)

Wrapped brane solutions in romans F(4) gauged supergravity

Nuclear Physics B, 2020
We explore the spectrum of lower-dimensional anti-de Sitter (AdS) solutions in F(4) gauged supergravity in six dimensions. The ansatz employed corresponds to D4-branes partially wrapped on various supersymmetric cycles in special holonomy manifolds.
Nakwoo Kim, Myungbo Shim
doaj   +1 more source

Quantum holonomy theory [PDF]

Fortschritte der Physik, 2016
We present quantum holonomy theory, which is a non‐perturbative theory of quantum gravity coupled to fermionic degrees of freedom. The theory is based on a ‐algebra that involves holonomy‐diffeo‐morphisms on a 3‐dimensional manifold and which encodes the canonical commutation relations of canonical quantum gravity formulated in terms of Ashtekar ...
Aastrup, Johannes, Grimstrup, Jesper Møller   +1 more
openaire   +3 more sources

AN AXIOMATIC DEFINITION OF HOLONOMY [PDF]

International Journal of Mathematics, 1994
A group of loops [Formula: see text] is associated to every smooth pointed manifold M using a strong homotopy relation. It is shown that the holonomy of a connection on a principal G-bundle may be presented as a group morphism [Formula: see text] and that every such morphism satisfying a natural smoothness condition is the holonomy of some unique ...
Caetano, A., Picken, R. F.
openaire   +2 more sources

Coulomb branch algebras via symplectic cohomology

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Let (M¯,ω)$(\bar{M}, \omega)$ be a compact symplectic manifold with convex boundary and c1(TM¯)=0$c_1(T\bar{M})=0$. Suppose that (M¯,ω)$(\bar{M}, \omega)$ is equipped with a convex Hamiltonian G$G$‐action for some connected, compact Lie group G$G$.
Eduardo González, Cheuk Yu Mak, Dan Pomerleano   +2 more
wiley   +1 more source

The holographic dual of the entanglement wedge symplectic form

Journal of High Energy Physics, 2020
In this paper, we find the boundary dual of the symplectic form for the bulk fields in any entanglement wedge. The key ingredient is Uhlmann holonomy, which is a notion of parallel transport of purifications of density matrices based on a maximisation of
Josh Kirklin
doaj   +1 more source

The Normal Holonomy Group [PDF]

Proceedings of the American Mathematical Society, 1990
We prove that the restricted normal holonomy group of a submanifold of a space of constant curvature is compact and that the nontrivial part of its representation on the normal space is the isotropy representation of a semisimple Riemannian symmetric space.
openaire   +2 more sources

An extended definition of Anosov representation for relatively hyperbolic groups

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley   +1 more source

Gravitational waves with generalized holonomy corrections

European Physical Journal C: Particles and Fields
The cosmological tensor perturbation equation with generalized holonomy corrections is derived in the framework of effective loop quantum gravity.
Shulan Li, Jian-Pin Wu
doaj   +1 more source

COUNTERTERMS, HOLONOMY AND SUPERSYMMETRY [PDF]

Deserfest, 2006
The divergence structure of supergravity has long been a topic of concern because of the theory's non-renormalizability. In the context of string theory, where perturbative finiteness should be achieved, the supergravity counterterm structures remain nonetheless of importance because they still occur, albeit with finite coefficients.
openaire   +2 more sources

Lorentzian homogeneous structures with indecomposable holonomy

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract For a Lorentzian homogeneous space, we study how algebraic conditions on the isotropy group affect the geometry and curvature of the homogeneous space. More specifically, we prove that a Lorentzian locally homogeneous space is locally isometric to a plane wave if it admits an Ambrose–Singer connection with indecomposable, non‐irreducible ...
Steven Greenwood, Thomas Leistner
wiley   +1 more source