Mathematical and Theoretical High Energy Physics (fismat/hep-th)
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Short courses:
Prof. L. J. Boya
Prof. E.A. Bergshoeff
Prof. E. Ivanov
Prof. I. Bars
Prof. P. Salgado
Prof. P.K. Townsend
Prof. J.A. de Azcárraga and Prof. J.M. Figueroa O'Farrill
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Twistors and 2-T physics: an introduction
Program • 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. |