Twistor superstring in two-time physics
- Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089-2535 (United States)
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 also can 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{sub 5}xS{sup 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{sup *}|4), respectively, and other cases, are discussed also. The OSp(8{sup *}|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.
- OSTI ID:
- 20698023
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 70, Issue 10; Other Information: DOI: 10.1103/PhysRevD.70.104022; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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BOSONS
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CURRENT ALGEBRA
DEGREES OF FREEDOM
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GAUGE INVARIANCE
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SPACE-TIME
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SUPERSTRING MODELS
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