Twistors in 4 flat dimensions. Massless particles, constrained phase space (xµ, pµ) 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.
Supertwistors and some field theory spectra in d=4,6. Super Yang-Mills d=4, N=4; Supergravity d=4, N=8. Self-dual tensor supermultiplet and conformal theory in d=6.
Twistor superstrings d + 2 view of twistor superstring in d = 4. Worldsheet anomalies and quantization of twistor superstring. Open problems.
(The seminar will last 120 m, including a 15m interval)