Supersymmetric minisuperspace models in self-dual loop quantum cosmology

  title={Supersymmetric minisuperspace models in self-dual loop quantum cosmology},
  author={Konstantin Eder and H. Sahlmann},
  journal={Journal of High Energy Physics},
  • K. Eder, H. Sahlmann
  • Published 1 March 2021
  • Physics, Mathematics
  • Journal of High Energy Physics
Abstract In this paper, we study a class of symmetry reduced models of $$ \mathcal{N} $$ N = 1 super- gravity 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 constraint algebra in the classical theory closes. In particular, the (graded) Poisson bracket between the left and right supersymmetry constraint reproduces the Hamiltonian constraint.For the quantum theory, we apply techniques… 
Toward black hole entropy in chiral loop quantum supergravity
Recently, many geometric aspects of N -extended AdS supergravity in chiral variables have been encountered and clarified. In particular, if the theory is supposed to be invariant under SUSY
Baryon topology in hypersphere soliton model
Exploiting a topological soliton on a hypersphere, we construct baryon charge profile functions by calculating explicit isoscalar and isovector electric charge densities. In this approach we depict


N=1 Supergravity with loop quantum gravity methods and quantization of the SUSY constraint
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
Three-dimensional Quantum Supergravity and Supersymmetric Spin Foam Models
We show how super BF theory in any dimension can be quantized as a spin foam model, generalizing the situation for ordinary BF theory. This is a first step toward quantizing supergravity theories. We
The Canonical formulation of N=2 supergravity in terms of the Ashtekar variable
We reconstruct Ashtekar's canonical formulation of $N=2$ supergravity (SUGRA) starting from the $N=2$ chiral Lagrangian derived by closely following the method employed in the usual SUGRA. In order
Towards loop quantum supergravity (LQSG): II. p-form sector
In our companion paper, we focused on the quantization of the Rarita–Schwinger sector of supergravity theories in various dimensions by using an extension of loop quantum gravity to all spacetime
Towards loop quantum supergravity (LQSG): I. Rarita–Schwinger sector
In our companion papers, we managed to derive a connection formulation of Lorentzian general relativity in D + 1 dimensions with compact gauge group SO(D + 1) such that the connection is
Loop quantum cosmology of Bianchi type IX models
The ''improved dynamics'' of loop quantum cosmology is extended to include anisotropies of the Bianchi type I model. As in the isotropic case, a massless scalar field serves as a relational time
Loop quantum cosmology with self-dual variables
Using the complex-valued self-dual connection variables, the loop quantum cosmology of a closed Friedmann universe coupled to a massless scalar field is studied. It is shown how the reality
Super Cartan geometry and the super Ashtekar connection
This work is devoted to the geometric approach to supergravity. More precisely, we interpret N = 1 supergravity as a super Cartan geometry which provides a link between supergravity and super