20 citations · 46 across the 8 of their papers we have counts for
8 papers
Lecture notes on operator algebras and their application in physics
Alexander Kegeles
Lecture notes to a one-term course on operator algebras and their application in physics. Very brief and basic introduction to the subject of Banach- and C-star algebras complement…
Relation between Hardy components for locally supported vector fields on the sphere
Christian Gerhards, Xinpeng Huang, Alexander Kegeles
Given a function in the Hardy space of inner harmonic gradients on the sphere, H+(S), we consider the problem of finding a corresponding function in the Hardy space of outer harmon…
Unique reconstruction of simple magnetizations from their magnetic potential
L. Baratchart, C. Gerhards, A. Kegeles +1
Inverse problems arising in (geo)magnetism are typically ill-posed, in particular {they exhibit non-uniqueness}. Nevertheless, there exist nontrivial model spaces on which the prob…
Decomposition of -vector fields on Lipschitz surfaces: characterization via null-spaces of the scalar potential
L. Baratchart, C. Gerhards, A. Kegeles
For the boundary of a bounded and connected strongly Lipschitz domain in with , we prove that any field $f\in L^{2} (\partial Ω; \mathbb{R}^{d…
Minimizers of the dynamical Boulatov model
Joseph Ben Geloun, Alexander Kegeles, Andreas G. A. Pithis
We study the Euler-Lagrange equation of the dynamical Boulatov model which is a simplicial model for 3d Euclidean quantum gravity augmented by a Laplace-Beltrami operator. We provi…
Inequivalent coherent state representations in group field theory
Alexander Kegeles, Daniele Oriti, Casey Tomlin
In this paper we propose an algebraic formulation of group field theory and consider non-Fock representations based on coherent states. We show that we can construct representation…
Continuous point symmetries in Group Field Theories
Alexander Kegeles, Daniele Oriti
We discuss the notion of symmetries in non-local field theories characterized by integro-differential equations of motion, from a geometric perspective. We then focus on Group Fiel…
Generalised conservation laws in non-local field theories
Alexander Kegeles, Daniele Oriti
We propose a geometrical treatment of symmetries in non-local field theories, where the non-locality is due to a lack of identification of field arguments in the action. We show th…