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Publications Influence

Quantum field theory and the Jones polynomial

- E. Witten
- Mathematics
- 1 September 1989

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 Jones… Expand

3,804 289- PDF

Phases of N = 2 theories in two dimensions

- E. Witten
- Physics
- 12 January 1993

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 weighted… Expand

1,518 231- PDF

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 Fourier… Expand

1,157 177- PDF

D-Branes And K-Theory

- E. Witten
- Physics
- 23 October 1998

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, we… Expand

877 155- PDF

String theory dynamics in various dimensions

- E. Witten
- Physics
- 20 March 1995

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 the… Expand

2,143 149- PDF

SOLUTIONS OF FOUR-DIMENSIONAL FIELD THEORIES VIA M-THEORY

- E. Witten
- Physics
- 24 March 1997

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 IIA… Expand

983 141- PDF

ANTI-DE SITTER SPACE, THERMAL PHASE TRANSITION AND CONFINEMENT IN GAUGE THEORIES

- E. Witten
- Physics
- 16 March 1998

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 the… Expand

1,554 128- PDF

Topological quantum field theory

- E. Witten
- Physics
- 1 February 1988

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 in… Expand

1,931 127- PDF

Superconformal field theory on threebranes at a Calabi-Yau singularity

- I. Klebanov, E. Witten
- Physics
- 10 July 1998

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 suitable… Expand

1,185 125- PDF

A new proof of the positive energy theorem

- E. Witten
- Mathematics
- 1 September 1981

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 theorems… Expand

1,184 85- PDF