Computer Science
Scientific paper
Jan 2005
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005gregr..37....1g&link_type=abstract
General Relativity and Gravitation, Volume 37, Issue 1, pp.1-17
Computer Science
1
Scientific paper
A so-called extended elliptical-complex (EEC) function method is proposed and used to further study the Einstein Maxwell-dilaton-axion theory with p vector fields (EMDA-p theory, for brevity) for p = 1,2,ldots . An Ernst-like 2^{k+1}× 2^{k+1}(k = [(p+1)/2]) matrix EEC potential is introduced and the motion equations of the stationary axisymmetric EMDA-p theory are written as a so-called Hauser Ernst-like self-dual relation for the EEC matrix potential. In particular, for the EMDA-2 theory, two Hauser Ernst-type EEC linear systems are established and based on their solutions some new parametrized symmetry transformations are explicitly constructed. These hidden symmetries are verified to constitute an infinite-dimensional Lie algebra, which is the semidirect product of the Kac Moody algebra su(2,2)⊗ R(t,t^{-1}) and Virasoro algebra (without centre charges). These results show that the studied EMDA-p theories possess very rich symmetry structures and the EEC function method is necessary and effective.
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