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Bosonization of a Topological Coset Model and Non-Critical String Theory
High Energy Physics - Theory · Submitted 27 Oct 1993
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that the twisted $N=2$ algebra of the coset model can be naturally transformed into that of non-critical string.
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The abstract, sentence by sentence
We analyze the relation between a topological coset model based on super $SL(2,R)/U(1)$ coset and non-critical string theory by using free field realization. We show that the twisted $N=2$ algebra of the coset model can be naturally transformed into that of non-critical string. The screening operators of the coset models can be identified either with those of the minimal matters or with the cosmological constant operator. We also find that another screening operator, which is intrinsic in our approach, becomes the BRST nontrivial state of ghost number $0$ (generator of the ground ring for $c=1$ gravity).
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We analyze the relation between a topological coset model based on super $SL(2,R)/U(1)$ coset and non-critical string theory by using free field realization. | contribution 0.96 | 0.94 | 0.13 | asserted 0.98 |
| s1 | We show that the twisted $N=2$ algebra of the coset model can be naturally transformed into that of non-critical string. | result 0.99 | 0.95 | 0.46 | asserted 1.00 |
| s2 | The screening operators of the coset models can be identified either with those of the minimal matters or with the cosmological constant operator. | result 1.00 | 0.83 | 0.18 | asserted 0.91 |
| s3 | We also find that another screening operator, which is intrinsic in our approach, becomes the BRST nontrivial state of ghost number $0$ (generator of the ground ring for $c=1$ gravity). | result 1.00 | 0.96 | 0.16 | asserted 1.00 |
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The paper
Original abstract
We analyze the relation between a topological coset model based on super $SL(2,R)/U(1)$ coset and non-critical string theory by using free field realization. We show that the twisted $N=2$ algebra of the coset model can be naturally transformed into that of non-critical string. The screening operators of the coset models can be identified either with those of the minimal matters or with the cosmological constant operator. We also find that another screening operator, which is intrinsic in our approach, becomes the BRST nontrivial state of ghost number $0$ (generator of the ground ring for $c=1$ gravity).
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