Towards loop quantum supergravity (LQSG): II. p-form sector

Journal article

Publication Details

Author(s): Bodendorfer N, Thiemann T, Thurn A
Journal: Classical and Quantum Gravity
Publication year: 2013
Volume: 30
Journal issue: 4
ISSN: 0264-9381


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 dimensions. In this paper, we extend this analysis by considering the quantization of additional bosonic fields necessary to obtain a complete SUSY multiplet next to graviton and gravitino in various dimensions. As a generic example, we study concretely the quantization of the 3-index photon of minimal 11d SUGRA, but our methods easily extend to more general p-form fields. Due to the presence of a Chern-Simons term for the 3-index photon, which is due to local SUSY, the theory is self-interacting and its quantization far from straightforward. Nevertheless, we show that a reduced phase space quantization with respect to the 3-index photon Gauss constraint is possible. Specifically, the Weyl algebra of observables, which deviates from the usual CCR Weyl algebras by an interesting twist contribution proportional to the level of the Chern-Simons theory, admits a background independent state of the Narnhofer-Thirring type.

FAU Authors / FAU Editors

Bodendorfer, Norbert
Chair for Theoretical Physics III (Quantum Gravity)
Thiemann, Thomas Prof. Dr.
Chair for Theoretical Physics III (Quantum Gravity)
Thurn, Andreas
Chair for Theoretical Physics III (Quantum Gravity)

How to cite

Bodendorfer, N., Thiemann, T., & Thurn, A. (2013). Towards loop quantum supergravity (LQSG): II. p-form sector. Classical and Quantum Gravity, 30(4).

Bodendorfer, Norbert, Thomas Thiemann, and Andreas Thurn. "Towards loop quantum supergravity (LQSG): II. p-form sector." Classical and Quantum Gravity 30.4 (2013).


Last updated on 2018-08-08 at 13:54