Zobrazeno 1 - 10
of 30
pro vyhledávání: '"Eder, Konstantin"'
Publikováno v:
In: Bambi, C., Modesto, L., Shapiro, I. (eds) Handbook of Quantum Gravity. Springer, Singapore (2023)
Loop quantum gravity in its Hamiltonian form relies on a connection formulation of the gravitational phase space with three key properties: 1.) a compact gauge group, 2.) real variables, and 3.) canonical Poisson brackets. In conjunction, these prope
Externí odkaz:
http://arxiv.org/abs/2412.04710
We study relative differential and integral forms and their cohomology on families of supermanifolds and prove a relative version of Poincar\'e duality relating the cohomology of differential and integral forms in different geometric categories. In t
Externí odkaz:
http://arxiv.org/abs/2312.05224
Autor:
Eder, Konstantin, Sahlmann, Hanno
Recent work has shown that local supersymmetry on a spacetime boundary in $\mathcal{N}$-extended AdS supergravity in chiral variables implies coupling to a boundary $\mathrm{OSp}(\mathcal{N}|2)_{\mathbb{C}}$ super Chern-Simons theory. We propose a wa
Externí odkaz:
http://arxiv.org/abs/2208.02768
Autor:
Eder, Konstantin, Sahlmann, Hanno
Recently, many geometric aspects of $\mathcal{N}$-extended AdS supergravity in chiral variables have been encountered and clarified. In particular, if the theory is supposed to be invariant under SUSY transformations also on boundaries, the boundary
Externí odkaz:
http://arxiv.org/abs/2204.01661
Autor:
Eder, Konstantin, Sahlmann, Hanno
Publikováno v:
J. High Energ. Phys. 2021, 71 (2021)
In this article, the Cartan geometric approach toward (extended) supergravity in the presence of boundaries will be discussed. In particular, based on new developments in this field, we will derive the Holst variant of the MacDowell-Mansouri action f
Externí odkaz:
http://arxiv.org/abs/2104.02011
Autor:
Eder, Konstantin
Publikováno v:
Journal of Mathematical Physics 62, 063506 (2021)
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 introduction to super fiber bundles. We then intr
Externí odkaz:
http://arxiv.org/abs/2101.00924
Autor:
Eder, Konstantin, Sahlmann, Hanno
Publikováno v:
Phys. Rev. D 103, 046010 (2021)
In this paper, the classical and quantum theory of $\mathcal{N}=1$ supergravity in four spacetime dimensions will be studied in the framework of loop quantum gravity. We discuss the canonical analysis of the supergravity Holst action as first introdu
Externí odkaz:
http://arxiv.org/abs/2011.00108
Autor:
Eder, Konstantin, Sahlmann, Hanno
Publikováno v:
J. High Energ. Phys. 2021, 64 (2021)
In this paper, we study a class of symmetry reduced models of $\mathcal{N}=1$ supergravity using self-dual variables. It is based on a particular Ansatz for the gravitino field as proposed by D'Eath et al. We show that the essential part of the const
Externí odkaz:
http://arxiv.org/abs/2010.15629
Autor:
Eder, Konstantin
This work is devoted to the geometric approach to supergravity. More precisely, we interpret $\mathcal{N}=1$, $D=4$ supergravity as a super Cartan geometry which provides a link between supergravity and Yang-Mills theory. To this end, we first review
Externí odkaz:
http://arxiv.org/abs/2010.09630
Autor:
Eder, Konstantin, Sahlmann, Hanno
Publikováno v:
Phys. Rev. D 97, 086016 (2018)
We describe the quantum theory of isolated horizons with electromagnetic or non-Abelian gauge charges in a setting in which both gauge and gravitational field are quantized. We consider the distorted case, and its spherically symmetric limit. We show
Externí odkaz:
http://arxiv.org/abs/1801.00747