Twistor Superstring in 2T-Physics

Abstract

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 constructed. It is shown that the dynamics of the Witten-Berkovits twistor superstring in 3+1 dimensions emerges as one of the many one time (1T) holographic pictures of the 4+2 dimensional string obtained via gauge fixing of the 2T gauge symmetries. In 2T-physics the twistor language can be transformed to usual spacetime language and vice-versa, off shell, as different gauge fixings of the same 2T string theory. Further holographic string pictures in 3+1 dimensions that are dual theories can also be derived. The 2T superstring is further generalized in the SU(4)=SO(6) sector of SU(2,2|4) by the addition of six bosonic dimensions, for a total of 10+2 dimensions. Excitations of the extra bosons produce a SU(2,2|4) current algebra spectrum that matches the classification of the high spin currents of N=4, d=4 super Yang Mills theory which are conserved in the weak coupling limit. This spectrum is interpreted as the extension of the SU(2,2|4 classification of the Kaluza-Klein towers of typeII-B supergravity compactified on AdS{5}xS(5), into the full string theory, and is speculated to have a covariant 10+2 origin in F-theory or S-theory. Further generalizations of the superstring theory to 3+2, 5+2 and 6+2 dimensions, based on the supergroups OSp(8|4), F(4), OSp(8*|4) respectively, and other cases, are also discussed. The OSp(8|4) case in 6+2 dimensions can be gauge fixed to 5+1 dimensions to provide a formulation of the special superconformal theory in six dimensions either in terms of ordinary spacetime or in terms of twistors.

26 pages, LaTeX. In version 3, section 5, it is argued that the 6+2 2T-superstring with OSp(8*|4) supersymmetry provides a description of the special d=6 superconformal theory based on the tensor supermultiplet (not d=6 SYM as mentioned in version 2)

References in corpus (3)

• Conformal Supergravity in Twistor-String Theory
• Twistor Space Structure Of One-Loop Amplitudes In Gauge Theory
• Untwisting the twistor superstring

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