Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-03-26
Nucl.Phys. B553 (1999) 305-316
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, Latex; <mabe@th.phys.titech.ac.jp, mhatsuda@ccthmail.kek.jp, kamimura@ph.sci.toho-u.ac.jp>
Scientific paper
10.1016/S0550-3213(99)00306-5
We propose a type IIB super-Poincare algebra with SO(2,1) covariant central extension. Together with SO(2,1) and SO(9,1) generators, a SO(2,1) triplet (momenta), a Majorana-spinor doublet (supercharges) and a Rarita-Schwinger central charge generate a group, G. We consider a coset G/H where H=(SO(2) x Lorentz), and the SL(2,R) 2-form doublet is obtained by the coset construction. It is shown that U(1) connections, whose strengths are associated with 2-forms, are recognized as coordinates of the enlarged space. We suggest that this is the fundamental algebra governing the superstring theories which explains the IIB SL(2,R) duality and geometrical origin of U(1) fields.
Abe Mitsuko
Hatsuda Machiko
Kamimura Kiyoshi
Tokunaga Takashi
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