Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-07-25
Adv.Theor.Math.Phys. 7 (2004) 951-1001
Physics
High Energy Physics
High Energy Physics - Theory
43 pages, 10 figures
Scientific paper
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 investigate in particular 3-dimensional (p=1,q=1) supergravity which we quantize exactly. We obtain a super-Ponzano-Regge model with gauge group OSp(1|2). A main motivation for our approach is the implementation of fermionic degrees of freedom in spin foam models. Indeed, we propose a description of the fermionic degrees of freedom in our model. Complementing the path integral approach we also discuss aspects of a canonical quantization in the spirit of loop quantum gravity. Finally, we comment on 2+1-dimensional quantum supergravity and the inclusion of a cosmological constant.
Livine Etera R.
Oeckl Robert
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