dorsal/arxiv
View SchemaUnitary Representations and BRST Structure of the Quantum Anti--de Sitter Group at Roots of Unity
| Authors | Harold Steinacker |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9710016 |
| URL | https://arxiv.org/abs/q-alg/9710016 |
Abstract
It is shown that for suitable roots of unity, there exist finite--dimensional unitary representations of $U_q(so(2,3))$ corresponding to all classical one-particle representations with (half)integer spin, with the correct low-energy limit. In the massless case for spin $\geq 1$, a subspace of "pure gauges'' appears which must be factored out, as classically. Unitary many-particle representations are defined, with the same low-energy states as classically. Furthermore, a remarkable element of the center of $U_q(so(2,3))$ is identified which plays the role of the BRST operator, for any spin. The corresponding ghosts are an intrinsic part of indecomposable representations.
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"abstract": "It is shown that for suitable roots of unity, there exist finite--dimensional\nunitary representations of $U_q(so(2,3))$ corresponding to all classical\none-particle representations with (half)integer spin, with the correct\nlow-energy limit. In the massless case for spin $\\geq 1$, a subspace of \"pure\ngauges\u0027\u0027 appears which must be factored out, as classically. Unitary\nmany-particle representations are defined, with the same low-energy states as\nclassically. Furthermore, a remarkable element of the center of $U_q(so(2,3))$\nis identified which plays the role of the BRST operator, for any spin. The\ncorresponding ghosts are an intrinsic part of indecomposable representations.",
"arxiv_id": "q-alg/9710016",
"authors": [
"Harold Steinacker"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"title": "Unitary Representations and BRST Structure of the Quantum Anti--de Sitter Group at Roots of Unity",
"url": "https://arxiv.org/abs/q-alg/9710016"
},
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