Bulg. J. Phys. vol.33 no.s1 (2006), pp. 487-505



Lectures on Twistors

I. Bars
Department of Physics and Astronomy, University of Southern California, Los Angeles, CA 90089-0484, USA
Abstract.
In this lecture I will discuss the following topics:
- Twistors in 4 flat dimensions (Massless particles, constrained phase space (xm,pm) versus twistors; Physical states in twistor space)
- 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; Twistors for particle dynamics in d dimensions, particles with mass, relativistic, non-relativistic, in curved spaces, with interactions)
- Supersymmetric 2T-physics, gauge symmetries & twistor gauge (Coupling X,P,g, gauge symmetries, global symmetries; Covariant quantization, constrained generators & representations of Gsuper; Twistor gauge: supertwistors dual to super phase space. Examples in d=4,6,10,11.) (An expanded version of these lectures can be found in [1].)

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