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arXiv · 0709.4033

Large Winding Sector of AdS/CFT

Abstract

We study a family of classical strings on R x S^3 subspace of the AdS_5 x S^5 background that interpolates between pulsating strings and single-spike strings. They are obtained from the helical strings of hep-th/0609026 by interchanging worldsheet time and space coordinates, which maps rotating/spinning string states with large spins to oscillating states with large winding numbers. From a finite-gap perspective, this transformation is realised as an interchange of quasi-momentum and quasi-energy defined for the algebraic curve. The gauge theory duals are also discussed, and are identified with operators in the non-holomorphic sector of N=4 super Yang-Mills. They can be viewed as excited states above the ``antiferromagnetic'' state, which is ``the farthest from BPS'' in the spin-chain spectrum. Furthermore, we investigate helical strings on AdS_3 x S^1 in an appendix.

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Hirotaka Hayashi, Keisuke Okamura, Ryo Suzuki, Benoit Vicedo. 2007-11-19. Large Winding Sector of AdS/CFT. https://doi.org/10.1088/1126-6708%2F2007%2F11%2F033

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