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USD Sign in to Purchase Instantly. Not Even Wrong. Skip to content. Home Frequently Asked Questions. Twistor Fever Posted on March 12, by woit.

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## quantum field theory - Gentle introduction to twistors - Physics Stack Exchange

This entry was posted in Uncategorized. Bookmark the permalink. March 12, at pm. Bee says:.

- Some remarks on subject positions and the architecture of the left periphery in Spanish.
- [] Lectures on twistor theory?
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March 13, at am. Higher Life says:. Peper Pan says:. March 13, at pm. Peter Woit says:.

Artful Codger says:. March 14, at am. Adam Helfer says:. March 14, at pm.

## Twistor theory

Adam, Thanks. March 17, at am. March 17, at pm. Joe Hucks says:. March 18, at am. Peter, I would agree that the scale is completely different at least two order of magnitude in numbers of people involved for one. Academic Career Links says:. March 20, at pm.

## An Introduction to Twistor Theory (London Mathematical Society Student Texts)

The correspondence between projective twistor space and Minkowski space is made more complete if we attach to Minkowski space its conformal boundary light cone at infinity and if we complexify it. Conversely a point x in real Minkowski space defines a set of null rays — the ones defining the null cone at that point. Now the fun starts when you consider functions on twistor space. Suppose we consider a function homogeneous of degree zero i. To get a non trivial field, the function f needs to have singularities on twistor space, i.

For example it can have poles. The correspondence between twistor functions and anti-self-dual solutions of the Maxwell equations is not unique. However, treating the twistor functions as representatives of certain sheaf cohomology classes does give a unique correspondence. Choosing twistor functions with other homogeneities gives rise to other types of field symmetric spinors with other numbers of primed or unprimed indices satisfying equations similar to 2.

Other ways of using the twistor correspondence exist, for example a correspondence can be set up for fields on a real space with Euclidean signature. This has been used in the treatment of Supersymmetric Yang Mills theory. I would like to recommend to you the following lecture notes by V. These lecture notes contain a very concise chapter about twistors, their relation to massless wave equations and their use in the construction of Yang-Mills amplitudes.

The importance of this work to me is that, here, Nair connects these two applications to another may be less famous application of twistors in the theory of quantization on geometrically nontrivial manifolds such as the quantization problem of a particle moving on the two sphere in the presence of a monople.

Twistor Theory and Differential Equations.

### An Introduction to Twistor Theory (London Mathematical Society Student Texts)

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