Towards a loop representation for quantum canonical supergravity
Aug, 1995
11 pages
Published in:
- Nucl.Phys.B 460 (1996) 615-631
e-Print:
- hep-th/9508036 [hep-th]
Report number:
- CGPG-95-8-3
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Abstract:
We study several aspects of the canonical quantization of supergravity in terms of the Asthekar variables. We cast the theory in terms of a connection and we introduce a loop representation. The solution space is remarkably similar to the loop representation of ordinary gravity, the main difference being the form of the Mandelstam identities. Physical states are in general given by knot invariants that are compatible with the Mandelstam identities. There is an explicit solution to all the quantum constraint equations connected with the Chern-Simons form, which leads to a new knot invariant polynomial in the loop representation.- 04.65.+e
- 04.60.+n
- supergravity
- Ashtekar variables
- Kauffman polynomial
- knot theory
- supergravity
- quantum gravity
- loop space
- knot theory
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