# Perturbative Gauge Theory as a String Theory in Twistor Space

@article{Witten2003PerturbativeGT, title={Perturbative Gauge Theory as a String Theory in Twistor Space}, author={Edward Witten}, journal={Communications in Mathematical Physics}, year={2003}, volume={252}, pages={189-258} }

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 transform the scattering amplitudes from momentum space to twistor space, and argue that the transformed amplitudes are supported on certain holomorphic curves. This in turn is apparently a consequence of an equivalence between the perturbative expansion of = 4 super Yang-Mills theory and the D…

## 1,277 Citations

### Twistors, strings and supersymmetric gauge theories

- Mathematics
- 2008

This thesis is concerned with the study of scattering amplitudes in four-dimensional conformal field theories, more particularly the N=4 super-Yang-Mills theory. We study this theory first at tree…

### Conformal Supergravity in Twistor-String Theory

- Physics, Geology
- 2004

Conformal supergravity arises in presently known formulations of twistor-string theory either via closed strings or via gauge-singlet open strings. We explore this sector of twistor-string theory,…

### Twistor Strings, Gauge Theory and Gravity

- Physics
- 2008

The development of new analytic and computational methods in the perturbative approach to Yang‐Mills theories is of great importance to the understanding of LHC physics. Twistor string theory, a form…

### Lectures on Twistor Strings and Perturbative Yang-Mills Theory

- Physics
- 2005

Recently, Witten proposed a topological string theory in twistor space that is dual to a weakly coupled gauge theory. In this lectures we will discuss aspects of the twistor string theory. Along the…

### Supersymmetric gauge theories in twistor space

- Physics
- 2007

We construct a twistor space action for = 4 super Yang-Mills theory and show that it is equivalent to its four dimensional spacetime counterpart at the level of perturbation theory. We compare our…

### IFT-P . 019 / 2004 Conformal Supergravity in Twistor-String Theory

- Physics, Geology
- 2004

Conformal supergravity arises in presently known formulations of twistor-string theory either via closed strings or via gauge-singlet open strings. We explore this sector of twistor-string theory,…

### Alternative string theory in twistor space for N=4 super-Yang-Mills theory

- Physics
- 2004

In this letter, an alternative string theory in twistor space is proposed for describing perturbative N=4 super-Yang-Mills theory. Like the recent proposal of Witten, this string theory uses twistor…

### A Deformation of twistor space and a chiral mass term in N=4 super Yang-Mills theory

- Mathematics
- 2006

Super twistor space admits a certain (super) complex structure deformation that preserves the Poincare subgroup of the symmetry group PSL(4|4) and depends on 10 parameters. In a previous paper [1],…

## References

SHOWING 1-10 OF 97 REFERENCES

### Chern-Simons gauge theory as a string theory

- Physics
- 1992

Certain two dimensional topological field theories can be interpreted as string theory backgrounds in which the usual decoupling of ghosts and matter does not hold. Like ordinary string models, these…

### Planar amplitudes in maximally supersymmetric Yang-Mills theory.

- PhysicsPhysical review letters
- 2003

This work demonstrates that, in the planar ('t Hooft) limit, higher-loop contributions can be expressed entirely in terms of one-loop amplitudes and conjecture an analogous relation for n-point amplitudes.

### Self-dual sector of QCD amplitudes.

- PhysicsPhysical review. D, Particles and fields
- 1996

In light-cone gauges this action is almost identical to previously proposed actions, but in this formulation the vanishing of all higher-loop amplitudes is obvious and the explicit perturbative $S$-matrix is known.

### Matrix models, topological strings, and supersymmetric gauge theories

- Mathematics, Physics
- 2002

### Hidden Symmetries of the AdS_5 x S^5 Superstring

- Physics
- 2003

Attempts to solve Yang-Mills theory must eventually face the problem of analyzing the theory at intermediate values of the coupling constant. In this regime neither perturbation theory nor the…

### Yang-Baxter algebras of monodromy matrices in integrable quantum field theories

- Mathematics, Physics
- 1984

### N=2 (4) string theory is self-dual N=4 Yang-Mills theory.

- PhysicsPhysical review. D, Particles and fields
- 1992

N=2 string amplitudes, when required to have the Lorentz covariance of the equivalent N=4 string, describe a self-dual form of N=3 super YangMills in 2+2 dimensions, a topological-like theory with vanishing loop corrections.