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Reduction of Dual Theories
High Energy Physics - Theory · Submitted 10 Aug 1998
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The coupling parameter of the superpotential is given simply by f times the square of the gauge coupling.
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The abstract, sentence by sentence
In view of the presence of a superpotential, the dual of a gauge theory like SQCD contains two coupling parameters. The method of the Reduction of Couplings is used in order to express the parameter of the superpotential in terms of the dual gauge coupling. In the conformal window and above it, a unique, isolated solution is obtained. The coupling parameter of the superpotential is given simply by f times the square of the gauge coupling. Here f is a function of the the number of colors and the number of flavors, and it is known explicitly. The solution is valid to all orders in the asymptotic expansion, and it is the appropriate choice for the dual theory. The same solution exists in the free magnetic interval. A `general' solution with non-integer powers is discussed, as are some exceptional cases.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In view of the presence of a superpotential, the dual of a gauge theory like SQCD contains two coupling parameters. | background 1.00 | 0.18 | 0.06 | asserted 1.00 |
| s1 | The method of the Reduction of Couplings is used in order to express the parameter of the superpotential in terms of the dual gauge coupling. | method 0.98 | 0.67 | 0.09 | asserted 1.00 |
| s2 | In the conformal window and above it, a unique, isolated solution is obtained. | result 1.00 | 0.81 | 0.21 | asserted 1.00 |
| s3 | The coupling parameter of the superpotential is given simply by f times the square of the gauge coupling. | result 1.00 | 0.80 | 0.56 | asserted 1.00 |
| s4 | Here f is a function of the the number of colors and the number of flavors, and it is known explicitly. | result 0.92 | 0.25 | 0.09 | asserted 1.00 |
| s5 | The solution is valid to all orders in the asymptotic expansion, and it is the appropriate choice for the dual theory. | result 0.64 | 0.78 | 0.23 | asserted 1.00 |
| s6 | The same solution exists in the free magnetic interval. | result 1.00 | 0.78 | 0.07 | asserted 1.00 |
| s7 | A `general' solution with non-integer powers is discussed, as are some exceptional cases. | contribution 0.61 | 0.78 | 0.04 | asserted 0.91 |
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The paper
Original abstract
In view of the presence of a superpotential, the dual of a gauge theory like SQCD contains two coupling parameters. The method of the Reduction of Couplings is used in order to express the parameter of the superpotential in terms of the dual gauge coupling. In the conformal window and above it, a unique, isolated solution is obtained. The coupling parameter of the superpotential is given simply by f times the square of the gauge coupling. Here f is a function of the the number of colors and the number of flavors, and it is known explicitly. The solution is valid to all orders in the asymptotic expansion, and it is the appropriate choice for the dual theory. The same solution exists in the free magnetic interval. A `general' solution with non-integer powers is discussed, as are some exceptional cases.
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