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On Global Analysis of Duality Maps
High Energy Physics - Theory · Submitted 17 Mar 1997
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim It is shown that duality between quantum field theories exists only when the geometrical structure of the quantum configuration spaces of the theories comply with certain precise conditions.
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The abstract, sentence by sentence
A global analysis of duality transformations is presented. It is shown that duality between quantum field theories exists only when the geometrical structure of the quantum configuration spaces of the theories comply with certain precise conditions. Applications to S-dual actions and to T duality of string theories and D-branes are briefly discussed.It is shown that a new topological term in the dual open string actions is required. We also study an extension of the procedure to construct duality maps among abelian gauge theories to the non abelian case.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | A global analysis of duality transformations is presented. | contribution 1.00 | 0.89 | 0.07 | asserted 0.96 |
| s1 | It is shown that duality between quantum field theories exists only when the geometrical structure of the quantum configuration spaces of the theories comply with certain precise conditions. | result 1.00 | 0.87 | 0.77 | asserted 1.00 |
| s2 | Applications to S-dual actions and to T duality of string theories and D-branes are briefly discussed.It is shown that a new topological term in the dual open string actions is required. | result 0.73 | 0.85 | 0.09 | asserted 0.99 |
| s3 | We also study an extension of the procedure to construct duality maps among abelian gauge theories to the non abelian case. | contribution 1.00 | 0.93 | 0.07 | asserted 0.97 |
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The paper
Original abstract
A global analysis of duality transformations is presented. It is shown that duality between quantum field theories exists only when the geometrical structure of the quantum configuration spaces of the theories comply with certain precise conditions. Applications to S-dual actions and to T duality of string theories and D-branes are briefly discussed.It is shown that a new topological term in the dual open string actions is required. We also study an extension of the procedure to construct duality maps among abelian gauge theories to the non abelian case.
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