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Particles and Fields

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. Theisen1

1  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 )

We extend the proposal of Berenstein, Maldacena and Nastase to the Type IIB superstring propagating on a pp-wave over the ${\bf R}^4/{\bf Z}_k$ orbifold. We show that first-quantized free string theory is described correctly by the large- N, fixed gauge coupling limit of ${\cal N}=2$ [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