SL(n, ) topological field theories. Baulieu, L. & Picco, M. Physics Letters B, 254(3-4):391–400, North-Holland, jan, 1991. ![SL(n, ) topological field theories [link]](https://bibbase.org/img/filetypes/link.svg "link")
Paper doi abstract bibtex 4 downloads We detail the BRST quantization of zero-dimensional string theory, by using Singer's observation of a SL(2, R) gauge symmetry. This provides a supersymmetric action, involving a pair of fermions and a pair of bosons. This confirms Singer's result that the partition function is a ratio of determinants. We generalize our result, and show that the quantization of the purely cosmological action ∫dnxg in arbitrary dimensions n is based on a gauge symmetry of the topological type, stemming from the SL(n, R) and diffeomorphism invariances of ∫dnxg. The corresponding supersymmetric action depends on a tower of one-form, two-form up to n-form commuting and anticommuting gauge fields, and should induce a topological quantum theory. The partition function does not reduce to a product of ratios of determinants for n\textgreater2. For n=2, the coupling to matter is manageable, without breaking the topological invariance, by addition of a topological $σ$-model, suitably gauge fixed in a BRST invariant way.
@article{Baulieu1991,
abstract = {We detail the BRST quantization of zero-dimensional string theory, by using Singer's observation of a SL(2, R) gauge symmetry. This provides a supersymmetric action, involving a pair of fermions and a pair of bosons. This confirms Singer's result that the partition function is a ratio of determinants. We generalize our result, and show that the quantization of the purely cosmological action ∫dnxg in arbitrary dimensions n is based on a gauge symmetry of the topological type, stemming from the SL(n, R) and diffeomorphism invariances of ∫dnxg. The corresponding supersymmetric action depends on a tower of one-form, two-form up to n-form commuting and anticommuting gauge fields, and should induce a topological quantum theory. The partition function does not reduce to a product of ratios of determinants for n{\textgreater}2. For n=2, the coupling to matter is manageable, without breaking the topological invariance, by addition of a topological $\sigma$-model, suitably gauge fixed in a BRST invariant way.},
author = {Baulieu, Laurent and Picco, Marco},
doi = {10.1016/0370-2693(91)91174-T},
file = {:Users/marco/Library/Application Support/Mendeley Desktop/Downloaded/Baulieu, Picco - 1991 - SL(n, ) topological field theories.pdf:pdf},
issn = {03702693},
journal = {Physics Letters B},
month = {jan},
number = {3-4},
pages = {391--400},
publisher = {North-Holland},
title = {{SL(n, ) topological field theories}},
url = {https://linkinghub.elsevier.com/retrieve/pii/037026939191174T},
volume = {254},
year = {1991}
}
Downloads: 4
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