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Quantum field theory and the Jones polynomial
It is shown that 2+1 dimensional quantum Yang-Mills theory, with an action consisting purely of the Chern-Simons term, is exactly soluble and gives a natural framework for understanding the JonesExpand
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Phases of N = 2 theories in two dimensions
By looking at phase transitions which occur as parameters are varied in supersymmetric gauge theories, a natural relation is found between sigma models based on Calabi-Yau hypersurfaces in weightedExpand
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Perturbative Gauge Theory as a String Theory in Twistor Space
  • E. Witten
  • Physics, Mathematics
  • 15 December 2003
Perturbative scattering amplitudes in Yang-Mills theory have many unexpected properties, such as holomorphy of the maximally helicity violating amplitudes. To interpret these results, we FourierExpand
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D-Branes And K-Theory
By exploiting recent arguments about stable nonsupersymmetric D-brane states, we argue that D-brane charge takes values in the K-theory of spacetime, as has been suspected before. In the process, weExpand
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String theory dynamics in various dimensions
Abstract The strong coupling dynamics of string theories in dimension d ⩾ 4 are studied. It is argued, among other things, that eleven-dimensional supergravity arises as a low energy limit of theExpand
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N = 2 supersymmetric gauge theories in four dimensions are studied by formulating them as the quantum field theories derived from configurations of fourbranes, fivebranes, and sixbranes in Type IIAExpand
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The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of super-Yang–Mills theory in four dimensions to theExpand
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Topological quantum field theory
A twisted version of four dimensional supersymmetric gauge theory is formulated. The model, which refines a nonrelativistic treatment by Atiyah, appears to underlie many recent developments inExpand
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Superconformal field theory on threebranes at a Calabi-Yau singularity
Just as parallel threebranes on a smooth manifold are related to string theory on AdS5 × S5, parallel threebranes near a conical singularity are related to string theory on AdS5 × X5, for a suitableExpand
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A new proof of the positive energy theorem
A new proof is given of the positive energy theorem of classical general relativity. Also, a new proof is given that there are no asymptotically Euclidean gravitational instantons. (These theoremsExpand
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