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On the Solution of Topological Landau-Ginzburg Models with $c=3$
High Energy Physics - Theory · Submitted 1 Oct 1991
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The solution is given for the $c=3$ topological matter model whose underlying conformal theory has Landau-Ginzburg model $W=-\qa (x^4 +y^4)+\af x^2y^2$.
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The abstract, sentence by sentence
The solution is given for the $c=3$ topological matter model whose underlying conformal theory has Landau-Ginzburg model $W=-\qa (x^4 +y^4)+\af x^2y^2$. While consistency conditions are used to solve it, this model is probably at the limit of such techniques. By using the flatness of the metric of the space of coupling constants I rederive the differential equation that relates the parameter \af\ to the flat coordinate $t$. This simpler method is also applied to the $x^3+y^6$-model.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The solution is given for the $c=3$ topological matter model whose underlying conformal theory has Landau-Ginzburg model $W=-\qa (x^4 +y^4)+\af x^2y^2$. | contribution 0.64 | 0.85 | 0.67 | asserted 1.00 |
| s1 | While consistency conditions are used to solve it, this model is probably at the limit of such techniques. | limitation 0.98 | 0.44 | 0.11 | hedged possibility 1.00 |
| s2 | By using the flatness of the metric of the space of coupling constants I rederive the differential equation that relates the parameter \af\ to the flat coordinate $t$. | method 0.63 | 0.95 | 0.17 | asserted 1.00 |
| s3 | This simpler method is also applied to the $x^3+y^6$-model. | contribution 0.73 | 0.91 | 0.07 | asserted 1.00 |
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The paper
Original abstract
The solution is given for the $c=3$ topological matter model whose underlying conformal theory has Landau-Ginzburg model $W=-\qa (x^4 +y^4)+\af x^2y^2$. While consistency conditions are used to solve it, this model is probably at the limit of such techniques. By using the flatness of the metric of the space of coupling constants I rederive the differential equation that relates the parameter \af\ to the flat coordinate $t$. This simpler method is also applied to the $x^3+y^6$-model.
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