Holographic Formulation of Quantum Supergravity

Abstract

We show that $\mathcal{N}=1$ supergravity with a cosmological constant can be expressed as constrained topological field theory based on the supergroup $Osp(1|4)$. The theory is then extended to include timelike boundaries with finite spatial area. Consistent boundary conditions are found which induce a boundary theory based on a supersymmetric Chern-Simons theory. The boundary state space is constructed from states of the boundary supersymmetric Chern-Simons theory on the punctured two sphere and naturally satisfies the Bekenstein bound, where area is measured by the area operator of quantum supergravity.

30 pages, no figure

References in corpus (4)

• Supersymmetric Spin Networks and Quantum Supergravity
• Holography in a quantum spacetime
• Eleven dimensional supergravity as a constrained topological field theory
• Quasilocal Energy for Spin-net Gravity

Cited by in corpus (24)

• Quantum symmetry, the cosmological constant and Planck scale phenomenology
• Spacetime geometry from algebra: spin foam models for non-perturbative quantum gravity
• Loop Quantum Gravity, Exact Holographic Mapping, and Holographic Entanglement Entropy
• Newtonian gravity in loop quantum gravity
• Eleven dimensional supergravity as a constrained topological field theory
• Towards Loop Quantum Supergravity (LQSG) I. Rarita-Schwinger Sector
• Holst-MacDowell-Mansouri action for (extended) supergravity with boundaries and super Chern-Simons theory
• Chern-Simons Term for BF Theory and Gravity as a Generalized Topological Field Theory in Four Dimensions
• The real Chern-Simons wave function
• Consistent interactions of dual linearized gravity in D=5: couplings with a topological BF model
• Gauge-invariant massive BF models
• N=2 supersymmetric spin foams in three dimensions
• (Super)gravity and Yang-Mills Theories as Generalized Topological Fields with Constraints
• Hamiltonian analysis of the BFCG formulation of General Relativity
• Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
• Supergravity as a constrained BF theory
• On the Classification of Asymptotic Quasinormal Frequencies for d-Dimensional Black Holes and Quantum Gravity
• A Generalization of the Kodama State for Arbitrary Values of the Immirzi Parameter
• Four-dimensional couplings among BF and massless Rarita-Schwinger theories: a BRST cohomological approach
• On the generalized Freedman-Townsend model
• Couplings between a collection of BF models and a set of three-form gauge fields
• $\mathcal{N}=1$ Supergravity with LQG methods and quantization of the SUSY constraint
• Introduction to supersymmetric spin networks
• Hamiltonian Theory: generalizations to higher dimensions, supersymmetry and modified gravity