Eur. Phys. J. C 25, 327-332 (2002)
DOI: 10.1007/s10052-002-0986-y
Superstring on pp-wave orbifold from large- N quiver gauge theory
N. Kim1, A. Pankiewicz1, S.-J. Rey2, 3 and S. Theisen11 Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, 14476 Golm, Germany
2 School of Physics and Center for Theoretical Physics, Seoul National University, Seoul 151-747, Korea
3 Isaac Newton Institute for Mathematical Sciences, 20 Clarkson Road, Cambridge CB3 0EH, UK
(Received: 14 March 2002 / Published online: 5 July 2002 )
Abstract
We extend the proposal of Berenstein, Maldacena and Nastase to
the Type IIB
superstring propagating on a pp-wave over the
orbifold.
We show that first-quantized free string theory is described
correctly
by the large-
N, fixed gauge coupling limit of
[U(N)]k
quiver gauge theory. We propose a precise map between gauge theory
operators
and string states for both untwisted and twisted sectors. We
also compute
leading-order perturbative correction to the anomalous dimensions
of these
operators. The result is in agreement with the value deduced
from the
string
energy spectrum, thus substantiating our proposed operator-state
map.
© Società Italiana di Fisica, Springer-Verlag 2002