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Anti-de Sitter space and holography

- E. Witten
- Physics
- 20 February 1998

Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product of… Expand

10,052 517- PDF

String theory and noncommutative geometry

- N. Seiberg, E. Witten
- Physics
- 20 August 1999

We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimally… Expand

3,734 386- PDF

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

3,879 296- 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

1,535 237- PDF

Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory

- N. Seiberg, E. Witten
- Physics
- 15 July 1994

Abstract We study the vacuum structure and don spectrum of N =2 supersymmetric gauge theory in four dimensions, with gauge group SU(2). The theory turns out to have remarkably rich and physical… Expand

2,948 195- 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

1,173 178- 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

2,159 149- PDF

Supersymmetry and Morse theory

- E. Witten
- Mathematics
- 1982

It is shown that the Morse inequalities can be obtained by consideration of a certain supersymmetric quantum mechanics Hamiltonian. Some of the implications of modern ideas in mathematics for… Expand

1,273 143- 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

993 143- PDF

Non-commutative geometry and string field theory

- E. Witten
- Physics
- 5 May 1986

An attempt is made to interpret the interactions of bosonic open strings as defining a non-cummulative, associative algebra, and to formulate the classical non-linear field theory of such strings in… Expand

1,465 142

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