Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1841571 | Nuclear Physics B | 2010 | 16 Pages |
Abstract
It is commonly asserted that there is a Gˆ×G centreless Kac–Moody extension of the manifest G×GG×G global symmetry of the two-dimensional principal chiral model (PCM) for the group manifold G . Here, we show that the symmetry is in fact larger, namely Gˆ×Gˆ, the full centreless Kac–Moody extension of the entire manifest G×GG×G global symmetry. Extending previous results in the literature, we also obtain an explicit realisation of the Virasoro-like symmetry of the PCM, generated by Kn=Ln+1−Ln−1Kn=Ln+1−Ln−1 for both positive and negative n . We show that these generators obey Sugawara-type commutation relations with the two commuting copies of the Kac–Moody algebra Gˆ.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
H. Lü, M.J. Perry, C.N. Pope, E. Sezgin,