# Lectures on twistors

@inproceedings{Bars2006LecturesOT, title={Lectures on twistors}, author={Itzhak Bars}, year={2006} }

In these lectures I will discuss the following topics:
(1) Twistors in 4 flat dimensions: Massless particles; constrained phase space (x,p) versus twistors; Physical states in twistor space.
(2) Introduction to 2T-physics and derivation of 1T-physics holographs and twistors: Emergent spacetimes & dynamics, holography, duality; Sp(2,R) gauge symmetry, constraints, solutions and (d,2); Global symmetry, quantization and the SO(d,2) singleton.
(3) Twistors for particle dynamics in d dimensions…

## 17 Citations

Twistor transform in d dimensions and a unifying role for twistors

- Physics
- 2006

Twistors in four dimensions d=4 have provided a convenient description of massless particles with any spin, and this led to remarkable computational techniques in Yang-Mills field theory. Recently it…

Generalized twistor transform and dualities with a new description of particles with spin beyond free and massless

- Physics
- 2007

A generalized twistor transform for spinning particles in 3+1 dimensions is constructed that beautifully unifies many types of spinning systems by mapping them to the same twistor Z{sub A}=({mu}{sup…

Interacting two-time physics field theory with a BRST gauge invariant action

- Physics
- 2006

We construct a field theoretic version of 2T physics including interactions in an action formalism. The approach is a Becchi-Rouet-Stora-Tyutin (BRST) formulation based on the underlying Sp(2,R)…

(Pre-)Hilbert spaces in twistor quantization

- Mathematics
- 2013

In twistor theory, the canonical quantization procedure, called twistor quantization, is performed with the twistor operators represented as ZA=ZA(∈C) and ZA=−∂/∂ZA. However, it has not been…

Canonical formalism and quantization of a massless spinning bosonic particle in four dimensions

- Physics
- 2014

A twistor model of a free massless spinning particle in four-dimensional Minkowski space is studied in terms of space–time and spinor variables. This model is specified by a simple action, referred…

Generalized dualities in one-time physics as holographic predictions from two-time physics

- Physics
- 2014

In the conventional formalism of physics, with 1-time, systems with different Hamiltonians or Lagrangians have different physical interpretations and are considered to be independent systems…

Superspace formulations of the (super)twistor string

- Mathematics, Physics
- 2006

The superspace formulation of the worldvolume action of twistor string models is considered. It is shown that for the Berkovits-Siegel closed twistor string such a formulation is provided by a N = 4…

Dualities among one-time field theories with spin, emerging from a unifying two-time field theory

- Physics
- 2008

The relation between two-time physics (2T-physics) and the ordinary one-time formulation of physics (1T-physics) is similar to the relation between a 3-dimensional object moving in a room and its…

Dual field theories in (d-1)+1 emergent spacetimes from A unifying field theory in d+2 spacetime

- Physics
- 2007

According to two-time physics, there is more to space and time than can be garnered with the ordinary formulation of physics. Two-time physics has shown that the standard model of particles and…

Supertwistor formulation for massless superparticle in AdS5 × S5 superspace

- PhysicsNuclear Physics B
- 2018

## References

SHOWING 1-10 OF 18 REFERENCES

Twistor transform in d dimensions and a unifying role for twistors

- Physics
- 2006

Twistors in four dimensions d=4 have provided a convenient description of massless particles with any spin, and this led to remarkable computational techniques in Yang-Mills field theory. Recently it…

Twistor superstring in two-time physics

- Physics
- 2004

By utilizing the gauge symmetries of two-time physics (2T physics), a superstring with linearly realized global SU(2,2|4) supersymmetry in 4+2 dimensions (plus internal degrees of freedom) is…

AdS Twistors for Higher Spin Theory

- Physics
- 2004

We construct spectra of supersymmetric higher spin theories in D = 4, 5 and 7 from twistors describing massless (super-)particles on AdS spaces. A massless twistor transform is derived in a geometric…

Two time physics with gravitational and gauge field backgrounds

- Physics
- 2000

It is shown that all possible gravitational, gauge and other interactions experienced by particles in ordinary d dimensions (one time) can be described in the language of two-time physics in a…

Massive Relativistic Particle Model with Spin and Electric Charge from Two-Twistor Dynamics

- Physics
- 2004

Perturbative Gauge Theory as a String Theory in Twistor Space

- Mathematics, Physics
- 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…

Cubic twistorial string field theory

- Mathematics, Physics
- 2004

Witten has recently proposed a string theory in twistor space whose D-instanton contributions are conjectured to compute = 4 super-Yang-Mills scattering amplitudes. An alternative string theory in…

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,…

Single twistor description of massless, massive, AdS, and other interacting particles

- Physics
- 2006

The Penrose transform between twistors and the phase space of massless particles is generalized from the massless case to an assortment of other particle dynamical systems, including special examples…